| 1 | MODULE module_sf_bem |
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| 2 | ! ----------------------------------------------------------------------- |
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| 3 | ! Variables and constants used in the BEM module |
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| 4 | ! ----------------------------------------------------------------------- |
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| 5 | |
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| 6 | real emins !emissivity of the internal walls |
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| 7 | parameter (emins=0.9) |
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| 8 | real albins !albedo of the internal walls |
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| 9 | !! parameter (albins=0.5) |
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| 10 | parameter (albins=0.3) |
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| 11 | |
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| 12 | real thickwin !thickness of the window [m] |
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| 13 | parameter (thickwin=0.006) |
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| 14 | real cswin !Specific heat of the windows [J/(m3.K)] |
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| 15 | parameter(cswin= 2.268e+06) |
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| 16 | |
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| 17 | real temp_rat !power of the A.C. heating/cooling the indoor air [K/s] |
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| 18 | parameter(temp_rat=0.001) |
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| 19 | |
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| 20 | real hum_rat !power of the A.C. drying/moistening the indoor air [(Kg/kg)/s] |
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| 21 | parameter(hum_rat=1.e-06) |
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| 22 | |
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| 23 | |
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| 24 | CONTAINS |
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| 25 | |
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| 26 | !====6================================================================72 |
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| 27 | !====6================================================================72 |
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| 28 | |
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| 29 | subroutine BEM(nzcanm,nlev,nhourday,dt,bw,bl,dzlev, & |
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| 30 | nwal,nflo,nrof,ngrd,hswalout,gswal, & |
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| 31 | hswinout,hsrof,gsrof, & |
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| 32 | latent,sigma,albwal,albwin,albrof, & |
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| 33 | emrof,emwal,emwin,rswal,rlwal,rair,cp, & |
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| 34 | rhoout,tout,humout,press, & |
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| 35 | rs,rl,dzwal,cswal,kwal,pwin,cop,beta,sw_cond, & |
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| 36 | timeon,timeoff,targtemp,gaptemp,targhum,gaphum, & |
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| 37 | perflo,hsesf,hsequip,dzflo, & |
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| 38 | csflo,kflo,dzgrd,csgrd,kgrd,dzrof,csrof, & |
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| 39 | krof,tlev,shumlev,twal,twin,tflo,tgrd,trof, & |
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| 40 | hsout,hlout,consump,hsvent,hlvent) |
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| 41 | |
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| 42 | |
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| 43 | ! --------------------------------------------------------------------- |
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| 44 | implicit none |
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| 45 | |
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| 46 | ! --------------------------------------------------------------------- |
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| 47 | ! TOP |
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| 48 | ! --------------------- |
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| 49 | ! ! ----------------- !--->roof (-) : level number |
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| 50 | ! ! ! ! ! rem: the windows are given |
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| 51 | ! ! !---------------! ! with respect to the |
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| 52 | ! ! !---------------! ! vertical walls-->win(2) |
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| 53 | ! (n)! !(1) (1)!-!(n) |
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| 54 | ! ! !---------------! ! 2D vision of the building |
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| 55 | ! WEST ! !-------4-------! ! EAST |
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| 56 | ! I ! ! 1 ilev 2! ! II ^ |
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| 57 | ! ! !-------3--------! ! ! |
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| 58 | ! ! !---------------! !--->floor 1 ! |
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| 59 | ! ! ! ! ! ! |
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| 60 | ! ! ! ! ! ! |
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| 61 | ! ! ----------------- ! <--------------(n) |
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| 62 | ! ------------------------>ground ------------(1) |
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| 63 | ! BOTTOM |
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| 64 | ! i(6) |
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| 65 | ! i |
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| 66 | ! +---------v-----+ |
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| 67 | ! /| /| 3D vision of a room |
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| 68 | ! / | 4 / | |
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| 69 | ! / | / | |
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| 70 | ! / | / | |
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| 71 | ! / | / | |
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| 72 | ! +---------------+ | |
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| 73 | ! | 1 | | 2 | |
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| 74 | ! | +---------|-----+ |
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| 75 | ! dzlev | / | / |
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| 76 | ! | / 3 | / |
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| 77 | ! | /bw | / |
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| 78 | ! | / | / |
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| 79 | ! |/ |/ |
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| 80 | ! +---------------+ |
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| 81 | ! ^ bl |
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| 82 | ! i |
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| 83 | ! i |
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| 84 | ! (5) |
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| 85 | !----------------------------------------------------------------------- |
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| 86 | |
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| 87 | |
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| 88 | ! Input: |
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| 89 | ! ----- |
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| 90 | |
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| 91 | real dt !time step [s] |
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| 92 | |
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| 93 | integer nzcanm !Maximum number of vertical levels in the urban grid |
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| 94 | integer nlev !number of floors in the building |
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| 95 | integer nwal !number of levels inside the wall |
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| 96 | integer nrof !number of levels inside the roof |
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| 97 | integer nflo !number of levels inside the floor |
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| 98 | integer ngrd !number of levels inside the ground |
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| 99 | real dzlev !vertical grid resolution [m] |
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| 100 | real bl !Building length [m] |
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| 101 | real bw !Building width [m] |
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| 102 | |
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| 103 | real albwal !albedo of the walls |
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| 104 | real albwin !albedo of the windows |
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| 105 | real albrof !albedo of the roof |
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| 106 | |
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| 107 | real emwal !emissivity of the walls |
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| 108 | |
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| 109 | real emrof !emissivity of the roof |
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| 110 | real emwin !emissivity of the windows |
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| 111 | |
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| 112 | real pwin !window proportion |
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| 113 | real, intent(in) :: cop !Coefficient of performance of the A/C systems |
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| 114 | real, intent(in) :: beta !Thermal efficiency of the heat exchanger |
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| 115 | integer, intent(in) :: sw_cond ! Air Conditioning switch |
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| 116 | real, intent(in) :: timeon ! Initial local time of A/C systems |
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| 117 | real, intent(in) :: timeoff ! Ending local time of A/C systems |
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| 118 | real, intent(in) :: targtemp ! Target temperature of A/C systems |
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| 119 | real, intent(in) :: gaptemp ! Comfort range of indoor temperature |
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| 120 | real, intent(in) :: targhum ! Target humidity of A/C systems |
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| 121 | real, intent(in) :: gaphum ! Comfort range of specific humidity |
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| 122 | real, intent(in) :: perflo ! Peak number of occupants per unit floor area |
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| 123 | real, intent(in) :: hsesf ! |
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| 124 | real, intent(in) :: hsequip(24) ! |
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| 125 | |
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| 126 | real cswal(nwal) !Specific heat of the wall [J/(m3.K)] |
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| 127 | |
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| 128 | real csflo(nflo) !Specific heat of the floor [J/(m3.K)] |
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| 129 | real csrof(nrof) !Specific heat of the roof [J/(m3.K)] |
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| 130 | real csgrd(ngrd) !Specific heat of the ground [J/(m3.K)] |
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| 131 | |
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| 132 | real kwal(nwal+1) !Thermal conductivity in each layers of the walls (face) [W/(m.K)] |
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| 133 | real kflo(nflo+1) !Thermal diffusivity in each layers of the floors (face) [W/(m.K)] |
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| 134 | real krof(nrof+1) !Thermal diffusivity in each layers of the roof (face) [W/(m.K)] |
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| 135 | real kgrd(ngrd+1) !Thermal diffusivity in each layers of the ground (face) [W/(m.K)] |
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| 136 | |
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| 137 | real dzwal(nwal) !Layer sizes of walls [m] |
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| 138 | real dzflo(nflo) !Layer sizes of floors [m] |
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| 139 | real dzrof(nrof) !Layer sizes of roof [m] |
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| 140 | real dzgrd(ngrd) !Layer sizes of ground [m] |
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| 141 | |
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| 142 | real latent !latent heat of evaporation [J/Kg] |
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| 143 | |
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| 144 | |
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| 145 | real rs !external short wave radiation [W/m2] |
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| 146 | real rl !external long wave radiation [W/m2] |
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| 147 | real rswal(4,nzcanm) !short wave radiation reaching the exterior walls [W/m2] |
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| 148 | real rlwal(4,nzcanm) !long wave radiation reaching the walls [W/m2] |
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| 149 | real rhoout(nzcanm) !exterior air density [kg/m3] |
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| 150 | real tout(nzcanm) !external temperature [K] |
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| 151 | real humout(nzcanm) !absolute humidity [Kgwater/Kgair] |
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| 152 | real press(nzcanm) !external air pressure [Pa] |
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| 153 | |
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| 154 | real hswalout(4,nzcanm) !outside walls sensible heat flux [W/m2] |
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| 155 | real hswinout(4,nzcanm) !outside window sensible heat flux [W/m2] |
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| 156 | real hsrof !Sensible heat flux at the roof [W/m2] |
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| 157 | |
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| 158 | real rair !ideal gas constant [J.kg-1.K-1] |
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| 159 | real sigma !parameter (wall is not black body) [W/m2.K4] |
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| 160 | real cp !specific heat of air [J/kg.K] |
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| 161 | |
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| 162 | |
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| 163 | !Input-Output |
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| 164 | !------------ |
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| 165 | real tlev(nzcanm) !temperature of the floors [K] |
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| 166 | real shumlev(nzcanm) !specific humidity of the floor [kg/kg] |
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| 167 | real twal(4,nwal,nzcanm) !walls temperatures [K] |
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| 168 | real twin(4,nzcanm) !windows temperatures [K] |
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| 169 | real tflo(nflo,nzcanm-1) !floor temperatures [K] |
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| 170 | real tgrd(ngrd) !ground temperature [K] |
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| 171 | real trof(nrof) !roof temperature [K] |
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| 172 | real hsout(nzcanm) !sensible heat emitted outside the floor [W] |
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| 173 | real hlout(nzcanm) !latent heat emitted outside the floor [W] |
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| 174 | real consump(nzcanm) !Consumption for the a.c. in each floor [W] |
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| 175 | real hsvent(nzcanm) !sensible heat generated by natural ventilation [W] |
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| 176 | real hlvent(nzcanm) !latent heat generated by natural ventilation [W] |
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| 177 | real gsrof !heat flux flowing inside the roof [W/m²] |
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| 178 | real gswal(4,nzcanm) !heat flux flowing inside the floors [W/m²] |
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| 179 | |
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| 180 | ! Local: |
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| 181 | ! ----- |
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| 182 | integer swwal !swich for the physical coefficients calculation |
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| 183 | integer ilev !index for rooms |
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| 184 | integer iwal !index for walls |
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| 185 | integer iflo !index for floors |
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| 186 | integer ivw !index for vertical walls |
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| 187 | integer igrd !index for ground |
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| 188 | integer irof !index for roof |
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| 189 | real hseqocc(nzcanm) !sensible heat generated by equipments and occupants [W] |
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| 190 | real hleqocc(nzcanm) !latent heat generated by occupants [W] |
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| 191 | real hscond(nzcanm) !sensible heat generated by wall conduction [W] |
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| 192 | real hslev(nzcanm) !sensible heat flux generated inside the room [W] |
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| 193 | real hllev(nzcanm) !latent heat flux generatd inside the room [W] |
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| 194 | real surwal(6,nzcanm) !Surface of the walls [m2] |
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| 195 | real surwal1D(6) !wall surfaces of a generic room [m2] |
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| 196 | real rsint(6) !short wave radiation reaching the indoor walls[W/m2] |
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| 197 | real rswalins(6,nzcanm) !internal short wave radiation for the building [W/m2] |
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| 198 | real twin1D(4) !temperature of windows for a particular room [K] |
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| 199 | real twal_int(6) !temperature of the first internal layers of a room [K] |
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| 200 | real rlint(6) !internal wall long wave radiation [w/m2] |
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| 201 | real rlwalins(6,nzcanm) !internal long wave radiation for the building [W/m2] |
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| 202 | real hrwalout(4,nzcanm) !external radiative flux to the walls [W/m2] |
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| 203 | real hrwalins(6,nzcanm) !inside radiative flux to the walls [W/m2] |
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| 204 | real hrwinout(4,nzcanm) !external radiative flux to the window [W/m2] |
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| 205 | real hrwinins(4,nzcanm) !inside radiative flux to the window [W/m2] |
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| 206 | real hrrof !external radiative flux to the roof [W/m2] |
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| 207 | real hs |
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| 208 | real hsneed(nzcanm) !sensible heat needed by the room [W] |
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| 209 | real hlneed(nzcanm) !latent heat needed by the room [W] |
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| 210 | real hswalins(6,nzcanm) !inside walls sensible heat flux [W/m2] |
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| 211 | real hswalins1D(6) |
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| 212 | real hswinins(4,nzcanm) !inside window sensible heat flux [W/m2] |
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| 213 | real hswinins1D(4) |
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| 214 | real htot(2) !total heat flux at the wall [W/m2] |
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| 215 | real twal1D(nwal) |
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| 216 | real tflo1D(nflo) |
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| 217 | real tgrd1D(ngrd) |
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| 218 | real trof1D(nrof) |
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| 219 | real rswal1D(4) |
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| 220 | real Qb !Overall heat capacity of the indoor air [J/K] |
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| 221 | real vollev !volume of the room [m3] |
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| 222 | real rhoint !density of the internal air [Kg/m3] |
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| 223 | real cpint !specific heat of the internal air [J/kg.K] |
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| 224 | real humdry !specific humidiy of dry air [kg water/kg dry air] |
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| 225 | real radflux !Function to compute the total radiation budget |
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| 226 | real consumpbuild !Energetic consumption for the entire building [KWh/s] |
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| 227 | real hsoutbuild !Total sensible heat ejected into the atmosphere[W] |
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| 228 | !by the air conditioning system and per building |
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| 229 | real nhourday !number of hours from midnight, local time |
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| 230 | !-------------------------------------------- |
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| 231 | !Initialization |
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| 232 | !-------------------------------------------- |
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| 233 | |
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| 234 | do ilev=1,nzcanm |
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| 235 | hseqocc(ilev)=0. |
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| 236 | hleqocc(ilev)=0. |
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| 237 | hscond(ilev)=0. |
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| 238 | hslev(ilev)=0. |
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| 239 | hllev(ilev)=0. |
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| 240 | enddo |
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| 241 | |
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| 242 | !Calculation of the surfaces of the building |
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| 243 | !-------------------------------------------- |
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| 244 | |
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| 245 | |
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| 246 | do ivw=1,6 |
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| 247 | do ilev=1,nzcanm |
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| 248 | surwal(ivw,ilev)=1. !initialisation |
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| 249 | end do |
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| 250 | end do |
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| 251 | |
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| 252 | do ilev=1,nlev |
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| 253 | do ivw=1,2 |
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| 254 | surwal(ivw,ilev)=dzlev*bw |
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| 255 | end do |
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| 256 | do ivw=3,4 |
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| 257 | surwal(ivw,ilev)=dzlev*bl |
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| 258 | end do |
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| 259 | do ivw=5,6 |
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| 260 | surwal(ivw,ilev)=bw*bl |
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| 261 | end do |
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| 262 | end do |
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| 263 | |
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| 264 | |
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| 265 | ! Calculation of the short wave radiations at the internal walls |
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| 266 | ! --------------------------------------------------------------- |
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| 267 | |
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| 268 | |
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| 269 | do ilev=1,nlev |
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| 270 | |
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| 271 | do ivw=1,4 |
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| 272 | rswal1D(ivw)=rswal(ivw,ilev) |
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| 273 | end do |
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| 274 | |
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| 275 | do ivw=1,6 |
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| 276 | surwal1D(ivw)=surwal(ivw,ilev) |
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| 277 | end do |
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| 278 | |
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| 279 | call int_rsrad(albwin,albins,pwin,rswal1D,& |
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| 280 | surwal1D,bw,bl,dzlev,rsint) |
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| 281 | |
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| 282 | do ivw=1,6 |
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| 283 | rswalins(ivw,ilev)=rsint(ivw) |
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| 284 | end do |
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| 285 | |
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| 286 | end do !ilev |
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| 287 | |
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| 288 | |
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| 289 | |
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| 290 | ! Calculation of the long wave radiation at the internal walls |
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| 291 | !------------------------------------------------------------- |
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| 292 | |
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| 293 | |
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| 294 | !Intermediate rooms |
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| 295 | |
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| 296 | if (nlev.gt.2) then |
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| 297 | do ilev=2,nlev-1 |
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| 298 | |
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| 299 | do ivw=1,4 |
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| 300 | twin1D(ivw)=twin(ivw,ilev) |
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| 301 | twal_int(ivw)=twal(ivw,1,ilev) |
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| 302 | end do |
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| 303 | |
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| 304 | twal_int(5)=tflo(nflo,ilev-1) |
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| 305 | twal_int(6)=tflo(1,ilev) |
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| 306 | |
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| 307 | call int_rlrad(emins,emwin,sigma,twal_int,twin1D,& |
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| 308 | pwin,bw,bl,dzlev,rlint) |
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| 309 | |
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| 310 | |
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| 311 | do ivw=1,6 |
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| 312 | rlwalins(ivw,ilev)=rlint(ivw) |
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| 313 | end do |
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| 314 | |
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| 315 | end do !ilev |
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| 316 | end if |
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| 317 | |
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| 318 | |
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| 319 | if (nlev.ne.1) then |
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| 320 | |
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| 321 | !bottom room |
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| 322 | |
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| 323 | do ivw=1,4 |
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| 324 | twin1D(ivw)=twin(ivw,1) |
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| 325 | twal_int(ivw)=twal(ivw,1,1) |
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| 326 | end do |
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| 327 | |
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| 328 | twal_int(5)=tgrd(ngrd) |
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| 329 | twal_int(6)=tflo(1,1) |
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| 330 | |
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| 331 | |
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| 332 | call int_rlrad(emins,emwin,sigma,twal_int,twin1D,& |
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| 333 | pwin,bw,bl,dzlev,rlint) |
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| 334 | |
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| 335 | do ivw=1,6 |
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| 336 | rlwalins(ivw,1)=rlint(ivw) |
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| 337 | end do |
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| 338 | |
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| 339 | !top room |
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| 340 | |
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| 341 | do ivw=1,4 |
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| 342 | twin1D(ivw)=twin(ivw,nlev) |
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| 343 | twal_int(ivw)=twal(ivw,1,nlev) |
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| 344 | end do |
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| 345 | |
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| 346 | twal_int(5)=tflo(nflo,nlev-1) |
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| 347 | twal_int(6)=trof(1) |
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| 348 | |
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| 349 | |
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| 350 | call int_rlrad(emins,emwin,sigma,twal_int,twin1D,& |
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| 351 | pwin,bw,bl,dzlev,rlint) |
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| 352 | |
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| 353 | do ivw=1,6 |
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| 354 | rlwalins(ivw,nlev)=rlint(ivw) |
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| 355 | end do |
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| 356 | |
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| 357 | else !Top <---> Bottom |
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| 358 | |
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| 359 | do ivw=1,4 |
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| 360 | twin1D(ivw)=twin(ivw,1) |
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| 361 | twal_int(ivw)=twal(ivw,1,1) |
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| 362 | end do |
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| 363 | |
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| 364 | twal_int(5)=tgrd(ngrd) |
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| 365 | twal_int(6)=trof(1) |
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| 366 | |
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| 367 | call int_rlrad(emins,emwin,sigma,twal_int,twin1D, & |
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| 368 | pwin,bw,bl,dzlev,rlint) |
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| 369 | |
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| 370 | do ivw=1,6 |
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| 371 | rlwalins(ivw,1)=rlint(ivw) |
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| 372 | end do |
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| 373 | |
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| 374 | end if |
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| 375 | |
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| 376 | |
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| 377 | ! Calculation of the radiative fluxes |
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| 378 | ! ----------------------------------- |
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| 379 | |
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| 380 | !External vertical walls and windows |
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| 381 | |
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| 382 | do ilev=1,nlev |
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| 383 | do ivw=1,4 |
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| 384 | call radfluxs(radflux,albwal,rswal(ivw,ilev), & |
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| 385 | emwal,rlwal(ivw,ilev),sigma, & |
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| 386 | twal(ivw,nwal,ilev)) |
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| 387 | |
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| 388 | hrwalout(ivw,ilev)=radflux |
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| 389 | |
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| 390 | hrwinout(ivw,ilev)=emwin*rlwal(ivw,ilev)- & |
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| 391 | emwin*sigma*(twin(ivw,ilev)**4) |
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| 392 | |
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| 393 | |
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| 394 | end do ! ivw |
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| 395 | end do ! ilev |
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| 396 | |
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| 397 | !Roof |
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| 398 | |
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| 399 | call radfluxs(radflux,albrof,rs,emrof,rl,sigma,trof(nrof)) |
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| 400 | |
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| 401 | hrrof=radflux |
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| 402 | |
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| 403 | !Internal walls for intermediate rooms |
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| 404 | |
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| 405 | if(nlev.gt.2) then |
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| 406 | |
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| 407 | do ilev=2,nlev-1 |
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| 408 | do ivw=1,4 |
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| 409 | |
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| 410 | call radfluxs(radflux,albins,rswalins(ivw,ilev), & |
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| 411 | emins,rlwalins(ivw,ilev),sigma, & |
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| 412 | twal(ivw,1,ilev)) |
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| 413 | |
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| 414 | hrwalins(ivw,ilev)=radflux |
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| 415 | |
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| 416 | end do !ivw |
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| 417 | |
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| 418 | call radfluxs(radflux,albins,rswalins(5,ilev), & |
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| 419 | emins,rlwalins(5,ilev),sigma,& |
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| 420 | tflo(nflo,ilev-1)) |
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| 421 | |
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| 422 | hrwalins(5,ilev)=radflux |
|---|
| 423 | |
|---|
| 424 | call radfluxs(radflux,albins,rswalins(6,ilev), & |
|---|
| 425 | emins,rlwalins(6,ilev),sigma,& |
|---|
| 426 | tflo(1,ilev)) |
|---|
| 427 | hrwalins(6,ilev)=radflux |
|---|
| 428 | |
|---|
| 429 | end do !ilev |
|---|
| 430 | |
|---|
| 431 | end if |
|---|
| 432 | |
|---|
| 433 | |
|---|
| 434 | !Internal walls for the bottom and the top room |
|---|
| 435 | ! |
|---|
| 436 | if (nlev.ne.1) then |
|---|
| 437 | |
|---|
| 438 | !bottom floor |
|---|
| 439 | |
|---|
| 440 | do ivw=1,4 |
|---|
| 441 | |
|---|
| 442 | call radfluxs(radflux,albins,rswalins(ivw,1), & |
|---|
| 443 | emins,rlwalins(ivw,1),sigma, & |
|---|
| 444 | twal(ivw,1,1)) |
|---|
| 445 | |
|---|
| 446 | hrwalins(ivw,1)=radflux |
|---|
| 447 | |
|---|
| 448 | end do |
|---|
| 449 | |
|---|
| 450 | |
|---|
| 451 | call radfluxs(radflux,albins,rswalins(5,1),& |
|---|
| 452 | emins,rlwalins(5,1),sigma,& !bottom |
|---|
| 453 | tgrd(ngrd)) |
|---|
| 454 | |
|---|
| 455 | hrwalins(5,1)=radflux |
|---|
| 456 | |
|---|
| 457 | |
|---|
| 458 | call radfluxs(radflux,albins,rswalins(6,1),& |
|---|
| 459 | emins,rlwalins(6,1),sigma,& |
|---|
| 460 | tflo(1,1)) |
|---|
| 461 | |
|---|
| 462 | hrwalins(6,1)=radflux |
|---|
| 463 | |
|---|
| 464 | !roof floor |
|---|
| 465 | |
|---|
| 466 | do ivw=1,4 |
|---|
| 467 | |
|---|
| 468 | call radfluxs(radflux,albins,rswalins(ivw,nlev), & |
|---|
| 469 | emins,rlwalins(ivw,nlev),sigma,& |
|---|
| 470 | twal(ivw,1,nlev)) |
|---|
| 471 | |
|---|
| 472 | hrwalins(ivw,nlev)=radflux |
|---|
| 473 | |
|---|
| 474 | end do !top |
|---|
| 475 | |
|---|
| 476 | |
|---|
| 477 | call radfluxs(radflux,albins,rswalins(5,nlev), & |
|---|
| 478 | emins,rlwalins(5,nlev),sigma,& |
|---|
| 479 | tflo(nflo,nlev-1)) |
|---|
| 480 | |
|---|
| 481 | hrwalins(5,nlev)=radflux |
|---|
| 482 | |
|---|
| 483 | call radfluxs(radflux,albins,rswalins(6,nlev), & |
|---|
| 484 | emins,rlwalins(6,nlev),sigma,& |
|---|
| 485 | trof(1)) |
|---|
| 486 | |
|---|
| 487 | hrwalins(6,nlev)=radflux |
|---|
| 488 | |
|---|
| 489 | else ! Top <---> Bottom room |
|---|
| 490 | |
|---|
| 491 | do ivw=1,4 |
|---|
| 492 | |
|---|
| 493 | call radfluxs(radflux,albins,rswalins(ivw,1),& |
|---|
| 494 | emins,rlwalins(ivw,1),sigma, & |
|---|
| 495 | twal(ivw,1,1)) |
|---|
| 496 | |
|---|
| 497 | hrwalins(ivw,1)=radflux |
|---|
| 498 | |
|---|
| 499 | end do |
|---|
| 500 | |
|---|
| 501 | call radfluxs(radflux,albins,rswalins(5,1),& |
|---|
| 502 | emins,rlwalins(5,1),sigma, & |
|---|
| 503 | tgrd(ngrd)) |
|---|
| 504 | |
|---|
| 505 | hrwalins(5,1)=radflux |
|---|
| 506 | |
|---|
| 507 | call radfluxs(radflux,albins,rswalins(6,nlev), & |
|---|
| 508 | emins,rlwalins(6,nlev),sigma,& |
|---|
| 509 | trof(1)) |
|---|
| 510 | hrwalins(6,1)=radflux |
|---|
| 511 | |
|---|
| 512 | end if |
|---|
| 513 | |
|---|
| 514 | |
|---|
| 515 | !Windows |
|---|
| 516 | |
|---|
| 517 | do ilev=1,nlev |
|---|
| 518 | do ivw=1,4 |
|---|
| 519 | hrwinins(ivw,ilev)=emwin*rlwalins(ivw,ilev)- & |
|---|
| 520 | emwin*sigma*(twin(ivw,ilev)**4) |
|---|
| 521 | end do |
|---|
| 522 | end do |
|---|
| 523 | |
|---|
| 524 | |
|---|
| 525 | ! Calculation of the sensible heat fluxes |
|---|
| 526 | ! --------------------------------------- |
|---|
| 527 | |
|---|
| 528 | !Vertical fluxes for walls |
|---|
| 529 | |
|---|
| 530 | do ilev=1,nlev |
|---|
| 531 | do ivw=1,4 |
|---|
| 532 | |
|---|
| 533 | call hsinsflux (2,2,tlev(ilev),twal(ivw,1,ilev),hs) |
|---|
| 534 | |
|---|
| 535 | hswalins(ivw,ilev)=hs |
|---|
| 536 | |
|---|
| 537 | end do ! ivw |
|---|
| 538 | end do ! ilev |
|---|
| 539 | |
|---|
| 540 | |
|---|
| 541 | !Vertical fluxes for windows |
|---|
| 542 | |
|---|
| 543 | do ilev=1,nlev |
|---|
| 544 | |
|---|
| 545 | do ivw=1,4 |
|---|
| 546 | |
|---|
| 547 | call hsinsflux (2,1,tlev(ilev),twin(ivw,ilev),hs) |
|---|
| 548 | |
|---|
| 549 | hswinins(ivw,ilev)=hs |
|---|
| 550 | |
|---|
| 551 | end do ! ivw |
|---|
| 552 | |
|---|
| 553 | end do !ilev |
|---|
| 554 | |
|---|
| 555 | !Horizontal fluxes |
|---|
| 556 | |
|---|
| 557 | if (nlev.gt.2) then |
|---|
| 558 | |
|---|
| 559 | do ilev=2,nlev-1 |
|---|
| 560 | |
|---|
| 561 | call hsinsflux (1,2,tlev(ilev),tflo(nflo,ilev-1),hs) |
|---|
| 562 | |
|---|
| 563 | hswalins(5,ilev)=hs |
|---|
| 564 | |
|---|
| 565 | call hsinsflux (1,2,tlev(ilev),tflo(1,ilev),hs) |
|---|
| 566 | |
|---|
| 567 | hswalins(6,ilev)=hs |
|---|
| 568 | |
|---|
| 569 | end do ! ilev |
|---|
| 570 | |
|---|
| 571 | end if |
|---|
| 572 | |
|---|
| 573 | if (nlev.ne.1) then |
|---|
| 574 | |
|---|
| 575 | call hsinsflux (1,2,tlev(1),tgrd(ngrd),hs) |
|---|
| 576 | |
|---|
| 577 | hswalins(5,1)=hs !Bottom room |
|---|
| 578 | |
|---|
| 579 | call hsinsflux (1,2,tlev(1),tflo(1,1),hs) |
|---|
| 580 | |
|---|
| 581 | hswalins(6,1)=hs |
|---|
| 582 | |
|---|
| 583 | call hsinsflux (1,2,tlev(nlev),tflo(nflo,nlev-1),hs) |
|---|
| 584 | |
|---|
| 585 | hswalins(5,nlev)=hs !Top room |
|---|
| 586 | |
|---|
| 587 | call hsinsflux (1,2,tlev(nlev),trof(1),hs) |
|---|
| 588 | |
|---|
| 589 | hswalins(6,nlev)=hs |
|---|
| 590 | |
|---|
| 591 | else ! Bottom<--->Top |
|---|
| 592 | |
|---|
| 593 | call hsinsflux (1,2,tlev(1),tgrd(ngrd),hs) |
|---|
| 594 | |
|---|
| 595 | hswalins(5,1)=hs |
|---|
| 596 | |
|---|
| 597 | call hsinsflux (1,2,tlev(nlev),trof(1),hs) |
|---|
| 598 | |
|---|
| 599 | hswalins(6,nlev)=hs |
|---|
| 600 | |
|---|
| 601 | end if |
|---|
| 602 | |
|---|
| 603 | |
|---|
| 604 | !Calculation of the temperature for the different surfaces |
|---|
| 605 | ! -------------------------------------------------------- |
|---|
| 606 | |
|---|
| 607 | ! Vertical walls |
|---|
| 608 | |
|---|
| 609 | swwal=1 |
|---|
| 610 | do ilev=1,nlev |
|---|
| 611 | do ivw=1,4 |
|---|
| 612 | |
|---|
| 613 | htot(1)=hswalins(ivw,ilev)+hrwalins(ivw,ilev) |
|---|
| 614 | htot(2)=hswalout(ivw,ilev)+hrwalout(ivw,ilev) |
|---|
| 615 | gswal(ivw,ilev)=htot(2) |
|---|
| 616 | |
|---|
| 617 | do iwal=1,nwal |
|---|
| 618 | twal1D(iwal)=twal(ivw,iwal,ilev) |
|---|
| 619 | end do |
|---|
| 620 | |
|---|
| 621 | call wall(swwal,nwal,dt,dzwal,kwal,cswal,htot,twal1D) |
|---|
| 622 | |
|---|
| 623 | do iwal=1,nwal |
|---|
| 624 | twal(ivw,iwal,ilev)=twal1D(iwal) |
|---|
| 625 | end do |
|---|
| 626 | |
|---|
| 627 | end do ! ivw |
|---|
| 628 | end do ! ilev |
|---|
| 629 | |
|---|
| 630 | ! Windows |
|---|
| 631 | |
|---|
| 632 | do ilev=1,nlev |
|---|
| 633 | do ivw=1,4 |
|---|
| 634 | |
|---|
| 635 | htot(1)=hswinins(ivw,ilev)+hrwinins(ivw,ilev) |
|---|
| 636 | htot(2)=hswinout(ivw,ilev)+hrwinout(ivw,ilev) |
|---|
| 637 | |
|---|
| 638 | twin(ivw,ilev)=twin(ivw,ilev)+(dt/(cswin*thickwin))* & |
|---|
| 639 | (htot(1)+htot(2)) |
|---|
| 640 | |
|---|
| 641 | end do ! ivw |
|---|
| 642 | end do ! ilev |
|---|
| 643 | |
|---|
| 644 | ! Horizontal floors |
|---|
| 645 | |
|---|
| 646 | |
|---|
| 647 | if (nlev.gt.1) then |
|---|
| 648 | swwal=1 |
|---|
| 649 | do ilev=1,nlev-1 |
|---|
| 650 | |
|---|
| 651 | htot(1)=hrwalins(6,ilev)+hswalins(6,ilev) |
|---|
| 652 | htot(2)=hrwalins(5,ilev+1)+hswalins(5,ilev+1) |
|---|
| 653 | |
|---|
| 654 | do iflo=1,nflo |
|---|
| 655 | tflo1D(iflo)=tflo(iflo,ilev) |
|---|
| 656 | end do |
|---|
| 657 | |
|---|
| 658 | call wall(swwal,nflo,dt,dzflo,kflo,csflo,htot,tflo1D) |
|---|
| 659 | |
|---|
| 660 | do iflo=1,nflo |
|---|
| 661 | tflo(iflo,ilev)=tflo1D(iflo) |
|---|
| 662 | end do |
|---|
| 663 | |
|---|
| 664 | end do ! ilev |
|---|
| 665 | end if |
|---|
| 666 | |
|---|
| 667 | |
|---|
| 668 | ! Ground |
|---|
| 669 | |
|---|
| 670 | swwal=1 |
|---|
| 671 | |
|---|
| 672 | htot(1)=0. !Diriclet b.c. at the internal boundary |
|---|
| 673 | htot(2)=hswalins(5,1)+hrwalins(5,1) |
|---|
| 674 | |
|---|
| 675 | do igrd=1,ngrd |
|---|
| 676 | tgrd1D(igrd)=tgrd(igrd) |
|---|
| 677 | end do |
|---|
| 678 | |
|---|
| 679 | call wall(swwal,ngrd,dt,dzgrd,kgrd,csgrd,htot,tgrd1D) |
|---|
| 680 | |
|---|
| 681 | do igrd=1,ngrd |
|---|
| 682 | tgrd(igrd)=tgrd1D(igrd) |
|---|
| 683 | end do |
|---|
| 684 | |
|---|
| 685 | |
|---|
| 686 | ! Roof |
|---|
| 687 | |
|---|
| 688 | swwal=1 |
|---|
| 689 | |
|---|
| 690 | htot(1)=hswalins(6,nlev)+hrwalins(6,nlev) |
|---|
| 691 | htot(2)=hsrof+hrrof |
|---|
| 692 | gsrof=htot(2) |
|---|
| 693 | |
|---|
| 694 | do irof=1,nrof |
|---|
| 695 | trof1D(irof)=trof(irof) |
|---|
| 696 | end do |
|---|
| 697 | |
|---|
| 698 | call wall(swwal,nrof,dt,dzrof,krof,csrof,htot,trof1D) |
|---|
| 699 | |
|---|
| 700 | do irof=1,nrof |
|---|
| 701 | trof(irof)=trof1D(irof) |
|---|
| 702 | end do |
|---|
| 703 | |
|---|
| 704 | ! Calculation of the heat fluxes and of the temperature of the rooms |
|---|
| 705 | ! ------------------------------------------------------------------ |
|---|
| 706 | |
|---|
| 707 | do ilev=1,nlev |
|---|
| 708 | |
|---|
| 709 | !Calculation of the heat generated by equipments and occupants |
|---|
| 710 | |
|---|
| 711 | call fluxeqocc(nhourday,bw,bl,perflo,hsesf,hsequip,hseqocc(ilev),hleqocc(ilev)) |
|---|
| 712 | |
|---|
| 713 | !Calculation of the heat generated by natural ventilation |
|---|
| 714 | |
|---|
| 715 | vollev=bw*bl*dzlev |
|---|
| 716 | humdry=shumlev(ilev)/(1.-shumlev(ilev)) |
|---|
| 717 | rhoint=(press(ilev))/(rair*(1.+0.61*humdry)*tlev(ilev)) |
|---|
| 718 | cpint=cp*(1.+0.84*humdry) |
|---|
| 719 | |
|---|
| 720 | |
|---|
| 721 | call fluxvent(cpint,rhoint,vollev,tlev(ilev),tout(ilev), & |
|---|
| 722 | latent,humout(ilev),rhoout(ilev),shumlev(ilev),& |
|---|
| 723 | beta,hsvent(ilev),hlvent(ilev)) |
|---|
| 724 | |
|---|
| 725 | !Calculation of the heat generated by conduction |
|---|
| 726 | |
|---|
| 727 | do iwal=1,6 |
|---|
| 728 | hswalins1D(iwal)=hswalins(iwal,ilev) |
|---|
| 729 | surwal1D(iwal)=surwal(iwal,ilev) |
|---|
| 730 | end do |
|---|
| 731 | |
|---|
| 732 | do iwal=1,4 |
|---|
| 733 | hswinins1D(iwal)=hswinins(iwal,ilev) |
|---|
| 734 | end do |
|---|
| 735 | |
|---|
| 736 | call fluxcond(hswalins1D,hswinins1D,surwal1D,pwin,& |
|---|
| 737 | hscond(ilev)) |
|---|
| 738 | |
|---|
| 739 | !Calculation of the heat generated inside the room |
|---|
| 740 | |
|---|
| 741 | call fluxroo(hseqocc(ilev),hleqocc(ilev),hsvent(ilev), & |
|---|
| 742 | hlvent(ilev),hscond(ilev),hslev(ilev),hllev(ilev)) |
|---|
| 743 | |
|---|
| 744 | |
|---|
| 745 | !Evolution of the temperature and of the specific humidity |
|---|
| 746 | |
|---|
| 747 | Qb=rhoint*cpint*vollev |
|---|
| 748 | |
|---|
| 749 | ! temperature regulation |
|---|
| 750 | |
|---|
| 751 | call regtemp(sw_cond,nhourday,dt,Qb,hslev(ilev), & |
|---|
| 752 | tlev(ilev),timeon,timeoff,targtemp,gaptemp,hsneed(ilev)) |
|---|
| 753 | |
|---|
| 754 | ! humidity regulation |
|---|
| 755 | |
|---|
| 756 | call reghum(sw_cond,nhourday,dt,vollev,rhoint,latent, & |
|---|
| 757 | hllev(ilev),shumlev(ilev),timeon,timeoff,& |
|---|
| 758 | targhum,gaphum,hlneed(ilev)) |
|---|
| 759 | ! |
|---|
| 760 | !performance of the air conditioning system for the test |
|---|
| 761 | ! |
|---|
| 762 | |
|---|
| 763 | call air_cond(hsneed(ilev),hlneed(ilev),dt, & |
|---|
| 764 | hsout(ilev),hlout(ilev),consump(ilev), cop) |
|---|
| 765 | |
|---|
| 766 | tlev(ilev)=tlev(ilev)+(dt/Qb)*(hslev(ilev)-hsneed(ilev)) |
|---|
| 767 | |
|---|
| 768 | shumlev(ilev)=shumlev(ilev)+(dt/(vollev*rhoint*latent))* & |
|---|
| 769 | (hllev(ilev)-hlneed(ilev)) |
|---|
| 770 | |
|---|
| 771 | end do !ilev |
|---|
| 772 | |
|---|
| 773 | call consump_total(nzcanm,nlev,consumpbuild,hsoutbuild, & |
|---|
| 774 | hsout,consump) |
|---|
| 775 | |
|---|
| 776 | return |
|---|
| 777 | end subroutine BEM |
|---|
| 778 | |
|---|
| 779 | !====6=8===============================================================72 |
|---|
| 780 | !====6=8===============================================================72 |
|---|
| 781 | |
|---|
| 782 | subroutine wall(swwall,nz,dt,dz,k,cs,flux,temp) |
|---|
| 783 | |
|---|
| 784 | !______________________________________________________________________ |
|---|
| 785 | |
|---|
| 786 | !The aim of this subroutine is to solve the 1D heat fiffusion equation |
|---|
| 787 | !for roof, walls and streets: |
|---|
| 788 | ! |
|---|
| 789 | ! dT/dt=d/dz[K*dT/dz] where: |
|---|
| 790 | ! |
|---|
| 791 | ! -T is the surface temperature(wall, street, roof) |
|---|
| 792 | ! -Kz is the heat diffusivity inside the material. |
|---|
| 793 | ! |
|---|
| 794 | !The resolution is done implicitly with a FV discretisation along the |
|---|
| 795 | !different layers of the material: |
|---|
| 796 | |
|---|
| 797 | ! ____________________________ |
|---|
| 798 | ! n * |
|---|
| 799 | ! * |
|---|
| 800 | ! * |
|---|
| 801 | ! ____________________________ |
|---|
| 802 | ! i+2 |
|---|
| 803 | ! I+1 |
|---|
| 804 | ! ____________________________ |
|---|
| 805 | ! i+1 |
|---|
| 806 | ! I ==> [T(I,n+1)-T(I,n)]/DT= |
|---|
| 807 | ! ____________________________ [F(i+1)-F(i)]/DZI |
|---|
| 808 | ! i |
|---|
| 809 | ! I-1 ==> A*T(n+1)=B where: |
|---|
| 810 | ! ____________________________ |
|---|
| 811 | ! i-1 * * A is a TRIDIAGONAL matrix. |
|---|
| 812 | ! * * B=T(n)+S takes into account the sources. |
|---|
| 813 | ! * |
|---|
| 814 | ! 1 ____________________________ |
|---|
| 815 | |
|---|
| 816 | !________________________________________________________________ |
|---|
| 817 | |
|---|
| 818 | implicit none |
|---|
| 819 | |
|---|
| 820 | !Input: |
|---|
| 821 | !----- |
|---|
| 822 | integer nz !Number of layers inside the material |
|---|
| 823 | real dt !Time step |
|---|
| 824 | real dz(nz) !Layer sizes [m] |
|---|
| 825 | real cs(nz) !Specific heat of the material [J/(m3.K)] |
|---|
| 826 | real k(nz+1) !Thermal conductivity in each layers (face) [W/(m.K)] |
|---|
| 827 | real flux(2) !Internal and external flux terms. |
|---|
| 828 | |
|---|
| 829 | !Input-Output: |
|---|
| 830 | !------------- |
|---|
| 831 | |
|---|
| 832 | integer swwall !swich for the physical coefficients calculation |
|---|
| 833 | real temp(nz) !Temperature at each layer |
|---|
| 834 | |
|---|
| 835 | !Local: |
|---|
| 836 | !----- |
|---|
| 837 | |
|---|
| 838 | real a(-1:1,nz) ! a(-1,*) lower diagonal A(i,i-1) |
|---|
| 839 | ! a(0,*) principal diagonal A(i,i) |
|---|
| 840 | ! a(1,*) upper diagonal A(i,i+1). |
|---|
| 841 | |
|---|
| 842 | real b(nz) !Coefficients of the second term. |
|---|
| 843 | real k1(20) |
|---|
| 844 | real k2(20) |
|---|
| 845 | real kc(20) |
|---|
| 846 | save k1,k2,kc |
|---|
| 847 | integer iz |
|---|
| 848 | |
|---|
| 849 | !________________________________________________________________ |
|---|
| 850 | ! |
|---|
| 851 | !Calculation of the coefficients |
|---|
| 852 | |
|---|
| 853 | if (swwall.eq.1) then |
|---|
| 854 | |
|---|
| 855 | if (nz.gt.20) then |
|---|
| 856 | write(*,*) 'number of layers in the walls/roofs too big ',nz |
|---|
| 857 | write(*,*) 'please decrease under of',20 |
|---|
| 858 | stop |
|---|
| 859 | endif |
|---|
| 860 | |
|---|
| 861 | call wall_coeff(nz,dt,dz,cs,k,k1,k2,kc) |
|---|
| 862 | swwall=0 |
|---|
| 863 | |
|---|
| 864 | end if |
|---|
| 865 | |
|---|
| 866 | !Computation of the first value (iz=1) of A and B: |
|---|
| 867 | |
|---|
| 868 | a(-1,1)=0. |
|---|
| 869 | a(0,1)=1+k2(1) |
|---|
| 870 | a(1,1)=-k2(1) |
|---|
| 871 | |
|---|
| 872 | b(1)=temp(1)+flux(1)*kc(1) |
|---|
| 873 | |
|---|
| 874 | !! |
|---|
| 875 | !!We can fixed the internal temperature |
|---|
| 876 | !! |
|---|
| 877 | !! a(-1,1)=0. |
|---|
| 878 | !! a(0,1)=1 |
|---|
| 879 | !! a(1,1)=0. |
|---|
| 880 | !! |
|---|
| 881 | !! b(1)=temp(1) |
|---|
| 882 | !! |
|---|
| 883 | !Computation of the internal values (iz=2,...,n-1) of A and B: |
|---|
| 884 | |
|---|
| 885 | do iz=2,nz-1 |
|---|
| 886 | a(-1,iz)=-k1(iz) |
|---|
| 887 | a(0,iz)=1+k1(iz)+k2(iz) |
|---|
| 888 | a(1,iz)=-k2(iz) |
|---|
| 889 | b(iz)=temp(iz) |
|---|
| 890 | end do |
|---|
| 891 | |
|---|
| 892 | !Computation of the external value (iz=n) of A and B: |
|---|
| 893 | |
|---|
| 894 | a(-1,nz)=-k1(nz) |
|---|
| 895 | a(0,nz)=1+k1(nz) |
|---|
| 896 | a(1,nz)=0. |
|---|
| 897 | |
|---|
| 898 | b(nz)=temp(nz)+flux(2)*kc(nz) |
|---|
| 899 | |
|---|
| 900 | !Resolution of the system A*T(n+1)=B |
|---|
| 901 | |
|---|
| 902 | call tridia(nz,a,b,temp) |
|---|
| 903 | |
|---|
| 904 | return |
|---|
| 905 | end subroutine wall |
|---|
| 906 | |
|---|
| 907 | !====6=8===============================================================72 |
|---|
| 908 | !====6=8===============================================================72 |
|---|
| 909 | |
|---|
| 910 | subroutine wall_coeff(nz,dt,dz,cs,k,k1,k2,kc) |
|---|
| 911 | |
|---|
| 912 | implicit none |
|---|
| 913 | |
|---|
| 914 | !--------------------------------------------------------------------- |
|---|
| 915 | !Input |
|---|
| 916 | !----- |
|---|
| 917 | integer nz !Number of layers inside the material |
|---|
| 918 | real dt !Time step |
|---|
| 919 | real dz(nz) !Layer sizes [m] |
|---|
| 920 | real cs(nz) !Specific heat of the material [J/(m3.K)] |
|---|
| 921 | real k(nz+1) !Thermal diffusivity in each layers (face) [W/(m.K)] |
|---|
| 922 | |
|---|
| 923 | |
|---|
| 924 | !Input-Output |
|---|
| 925 | !------------ |
|---|
| 926 | |
|---|
| 927 | real flux(2) !Internal and external flux terms. |
|---|
| 928 | |
|---|
| 929 | |
|---|
| 930 | !Output |
|---|
| 931 | !------ |
|---|
| 932 | real k1(20) |
|---|
| 933 | real k2(20) |
|---|
| 934 | real kc(20) |
|---|
| 935 | |
|---|
| 936 | !Local |
|---|
| 937 | !----- |
|---|
| 938 | integer iz |
|---|
| 939 | real kf(nz) |
|---|
| 940 | |
|---|
| 941 | !------------------------------------------------------------------ |
|---|
| 942 | |
|---|
| 943 | do iz=2,nz |
|---|
| 944 | kc(iz)=dt/(dz(iz)*cs(iz)) |
|---|
| 945 | kf(iz)=2*k(iz)/(dz(iz)+dz(iz-1)) |
|---|
| 946 | end do |
|---|
| 947 | |
|---|
| 948 | kc(1)=dt/(dz(1)*cs(1)) |
|---|
| 949 | kf(1)=2*k(1)/(dz(1)) |
|---|
| 950 | |
|---|
| 951 | do iz=1,nz |
|---|
| 952 | k1(iz)=kc(iz)*kf(iz) |
|---|
| 953 | end do |
|---|
| 954 | |
|---|
| 955 | do iz=1,nz-1 |
|---|
| 956 | k2(iz)=kc(iz)*kf(iz+1)*cs(iz)/cs(iz+1) |
|---|
| 957 | end do |
|---|
| 958 | |
|---|
| 959 | return |
|---|
| 960 | end subroutine wall_coeff |
|---|
| 961 | |
|---|
| 962 | !====6=8===============================================================72 |
|---|
| 963 | !====6=8===============================================================72 |
|---|
| 964 | subroutine hsinsflux(swsurf,swwin,tin,tw,hsins) |
|---|
| 965 | |
|---|
| 966 | implicit none |
|---|
| 967 | |
|---|
| 968 | ! -------------------------------------------------------------------- |
|---|
| 969 | ! This routine computes the internal sensible heat flux. |
|---|
| 970 | ! The swsurf, makes rhe difference between a vertical and a |
|---|
| 971 | ! horizontal surface. |
|---|
| 972 | ! The values of the heat conduction coefficients hc are obtained from the book |
|---|
| 973 | ! "Energy Simulation in Building Design". J.A. Clarke. |
|---|
| 974 | ! Adam Hilger, Bristol, 362 pp. |
|---|
| 975 | ! -------------------------------------------------------------------- |
|---|
| 976 | !Input |
|---|
| 977 | !---- |
|---|
| 978 | integer swsurf !swich for the type of surface (horizontal/vertical) |
|---|
| 979 | integer swwin !swich for the type of surface (window/wall) |
|---|
| 980 | real tin !Inside temperature [K] |
|---|
| 981 | real tw !Internal wall temperature [K] |
|---|
| 982 | |
|---|
| 983 | |
|---|
| 984 | !Output |
|---|
| 985 | !------ |
|---|
| 986 | real hsins !internal sensible heat flux [W/m2] |
|---|
| 987 | !Local |
|---|
| 988 | !----- |
|---|
| 989 | real hc !heat conduction coefficient [W/°C.m2] |
|---|
| 990 | !-------------------------------------------------------------------- |
|---|
| 991 | |
|---|
| 992 | if (swsurf.eq.2) then !vertical surface |
|---|
| 993 | if (swwin.eq.1) then |
|---|
| 994 | hc=5.678*0.99 !window surface (smooth surface) |
|---|
| 995 | else |
|---|
| 996 | hc=5.678*1.09 !wall surface (rough surface) |
|---|
| 997 | endif |
|---|
| 998 | hsins=hc*(tin-tw) |
|---|
| 999 | endif |
|---|
| 1000 | |
|---|
| 1001 | if (swsurf.eq.1) then !horizontal surface |
|---|
| 1002 | if (swwin.eq.1) then |
|---|
| 1003 | hc=5.678*0.99 !window surface (smooth surface) |
|---|
| 1004 | else |
|---|
| 1005 | hc=5.678*1.09 !wall surface (rough surface) |
|---|
| 1006 | endif |
|---|
| 1007 | hsins=hc*(tin-tw) |
|---|
| 1008 | endif |
|---|
| 1009 | |
|---|
| 1010 | return |
|---|
| 1011 | end subroutine hsinsflux |
|---|
| 1012 | !====6=8===============================================================72 |
|---|
| 1013 | !====6=8===============================================================72 |
|---|
| 1014 | |
|---|
| 1015 | subroutine int_rsrad(albwin,albwal,pwin,rswal,& |
|---|
| 1016 | surwal,bw,bl,zw,rsint) |
|---|
| 1017 | |
|---|
| 1018 | ! ------------------------------------------------------------------ |
|---|
| 1019 | implicit none |
|---|
| 1020 | ! ------------------------------------------------------------------ |
|---|
| 1021 | |
|---|
| 1022 | !Input |
|---|
| 1023 | !----- |
|---|
| 1024 | real albwin !albedo of the windows |
|---|
| 1025 | real albwal !albedo of the internal wall |
|---|
| 1026 | real rswal(4) !incoming short wave radiation [W/m2] |
|---|
| 1027 | real surwal(6) !surface of the indoor walls [m2] |
|---|
| 1028 | real bw,bl !width of the walls [m] |
|---|
| 1029 | real zw !height of the wall [m] |
|---|
| 1030 | real pwin !window proportion |
|---|
| 1031 | |
|---|
| 1032 | !Output |
|---|
| 1033 | !------ |
|---|
| 1034 | real rsint(6) !internal walls short wave radiation [W/m2] |
|---|
| 1035 | |
|---|
| 1036 | !Local |
|---|
| 1037 | !----- |
|---|
| 1038 | real transmit !transmittance of the direct/diffused radiation |
|---|
| 1039 | real rstr !solar radiation transmitted through the windows |
|---|
| 1040 | real surtotwal !total indoor surface of the walls in the room |
|---|
| 1041 | integer iw |
|---|
| 1042 | real b(6) !second member for the system |
|---|
| 1043 | real a(6,6) !matrix for the system |
|---|
| 1044 | |
|---|
| 1045 | !------------------------------------------------------------------- |
|---|
| 1046 | |
|---|
| 1047 | |
|---|
| 1048 | ! Calculation of the solar radiation transmitted through windows |
|---|
| 1049 | |
|---|
| 1050 | rstr = 0. |
|---|
| 1051 | do iw=1,4 |
|---|
| 1052 | transmit=1.-albwin |
|---|
| 1053 | rstr = rstr+(surwal(iw)*pwin)*(transmit*rswal(iw)) |
|---|
| 1054 | enddo |
|---|
| 1055 | |
|---|
| 1056 | !We suppose that the radiation is spread isotropically within the |
|---|
| 1057 | !room when it passes through the windows, so the flux [W/m²] in every |
|---|
| 1058 | !wall is: |
|---|
| 1059 | |
|---|
| 1060 | surtotwal=0. |
|---|
| 1061 | do iw=1,6 |
|---|
| 1062 | surtotwal=surtotwal+surwal(iw) |
|---|
| 1063 | enddo |
|---|
| 1064 | |
|---|
| 1065 | rstr=rstr/surtotwal |
|---|
| 1066 | |
|---|
| 1067 | !Computation of the short wave radiation reaching the internal walls |
|---|
| 1068 | |
|---|
| 1069 | call algebra_short(rstr,albwal,albwin,bw,bl,zw,pwin,a,b) |
|---|
| 1070 | |
|---|
| 1071 | call gaussjbem(a,6,b,6) |
|---|
| 1072 | |
|---|
| 1073 | do iw=1,6 |
|---|
| 1074 | rsint(iw)=b(iw) |
|---|
| 1075 | enddo |
|---|
| 1076 | |
|---|
| 1077 | return |
|---|
| 1078 | end subroutine int_rsrad |
|---|
| 1079 | |
|---|
| 1080 | !====6=8===============================================================72 |
|---|
| 1081 | !====6=8===============================================================72 |
|---|
| 1082 | |
|---|
| 1083 | subroutine int_rlrad(emwal,emwin,sigma,twal_int,twin,& |
|---|
| 1084 | pwin,bw,bl,zw,rlint) |
|---|
| 1085 | |
|---|
| 1086 | ! ------------------------------------------------------------------ |
|---|
| 1087 | implicit none |
|---|
| 1088 | ! ------------------------------------------------------------------ |
|---|
| 1089 | |
|---|
| 1090 | !Input |
|---|
| 1091 | !----- |
|---|
| 1092 | |
|---|
| 1093 | real emwal !emissivity of the internal walls |
|---|
| 1094 | real emwin !emissivity of the window |
|---|
| 1095 | real sigma !Stefan-Boltzmann constant [W/m2.K4] |
|---|
| 1096 | real twal_int(6)!temperature of the first internal layers of a room [K] |
|---|
| 1097 | real twin(4) !temperature of the windows [K] |
|---|
| 1098 | real bw !width of the wall |
|---|
| 1099 | real bl !length of the wall |
|---|
| 1100 | real zw !height of the wall |
|---|
| 1101 | real pwin !window proportion |
|---|
| 1102 | |
|---|
| 1103 | !Output |
|---|
| 1104 | !------ |
|---|
| 1105 | |
|---|
| 1106 | real rlint(6) !internal walls long wave radiation [W/m2] |
|---|
| 1107 | |
|---|
| 1108 | !Local |
|---|
| 1109 | !------ |
|---|
| 1110 | |
|---|
| 1111 | real b(6) !second member vector for the system |
|---|
| 1112 | real a(6,6) !matrix for the system |
|---|
| 1113 | integer iw |
|---|
| 1114 | !---------------------------------------------------------------- |
|---|
| 1115 | |
|---|
| 1116 | !Compute the long wave radiation reachs the internal walls |
|---|
| 1117 | |
|---|
| 1118 | call algebra_long(emwal,emwin,sigma,twal_int,twin,pwin,& |
|---|
| 1119 | bw,bl,zw,a,b) |
|---|
| 1120 | |
|---|
| 1121 | call gaussjbem(a,6,b,6) |
|---|
| 1122 | |
|---|
| 1123 | do iw=1,6 |
|---|
| 1124 | rlint(iw)=b(iw) |
|---|
| 1125 | enddo |
|---|
| 1126 | |
|---|
| 1127 | return |
|---|
| 1128 | end subroutine int_rlrad |
|---|
| 1129 | |
|---|
| 1130 | !====6=8===============================================================72 |
|---|
| 1131 | !====6=8===============================================================72 |
|---|
| 1132 | |
|---|
| 1133 | subroutine algebra_short(rstr,albwal,albwin,aw,bw,zw,pwin,a,b) |
|---|
| 1134 | |
|---|
| 1135 | !-------------------------------------------------------------------- |
|---|
| 1136 | !This routine calculates the algebraic system that will be solved for |
|---|
| 1137 | !the computation of the total shortwave radiation that reachs every |
|---|
| 1138 | !indoor wall in a floor. |
|---|
| 1139 | !Write the matrix system ax=b to solve |
|---|
| 1140 | ! |
|---|
| 1141 | ! -Rs(1)+a(1,2)Rs(2)+.................+a(1,6)Rs(6)=-Rs=b(1) |
|---|
| 1142 | !a(2,1)Rs(1)- Rs(2)+.................+a(2,6)Rs(6)=-Rs=b(2) |
|---|
| 1143 | !a(3,1)Rs(1)+a(3,2)Rs(3)-Rs(3)+...........+a(3,6)Rs(6)=-Rs=b(3) |
|---|
| 1144 | !a(4,1)Rs(1)+.................-Rs(4)+.....+a(4,6)Rs(6)=-Rs=b(4) |
|---|
| 1145 | !a(5,1)Rs(1)+.......................-Rs(5)+a(5,6)Rs(6)=-Rs=b(5) |
|---|
| 1146 | !a(6,1)Rs(1)+....................................-R(6)=-Rs=b(6) |
|---|
| 1147 | ! |
|---|
| 1148 | !This version suppose the albedo of the indoor walls is the same. |
|---|
| 1149 | !-------------------------------------------------------------------- |
|---|
| 1150 | implicit none |
|---|
| 1151 | !-------------------------------------------------------------------- |
|---|
| 1152 | |
|---|
| 1153 | !Input |
|---|
| 1154 | !----- |
|---|
| 1155 | real rstr !solar radiation transmitted through the windows |
|---|
| 1156 | real albwal !albedo of the internal walls |
|---|
| 1157 | real albwin !albedo of the windows. |
|---|
| 1158 | real bw !length of the wall |
|---|
| 1159 | real aw !width of the wall |
|---|
| 1160 | real zw !height of the wall |
|---|
| 1161 | real fprl_int !view factor |
|---|
| 1162 | real fnrm_int !view factor |
|---|
| 1163 | real pwin !window proportion |
|---|
| 1164 | !Output |
|---|
| 1165 | !------ |
|---|
| 1166 | real a(6,6) !Matrix for the system |
|---|
| 1167 | real b(6) !Second member for the system |
|---|
| 1168 | !Local |
|---|
| 1169 | !----- |
|---|
| 1170 | integer iw,jw |
|---|
| 1171 | real albm !averaged albedo |
|---|
| 1172 | !---------------------------------------------------------------- |
|---|
| 1173 | |
|---|
| 1174 | !Initialise the variables |
|---|
| 1175 | |
|---|
| 1176 | do iw=1,6 |
|---|
| 1177 | b(iw)= 0. |
|---|
| 1178 | do jw=1,6 |
|---|
| 1179 | a(iw,jw)= 0. |
|---|
| 1180 | enddo |
|---|
| 1181 | enddo |
|---|
| 1182 | |
|---|
| 1183 | !Calculation of the second member b |
|---|
| 1184 | |
|---|
| 1185 | do iw=1,6 |
|---|
| 1186 | b(iw)=-rstr |
|---|
| 1187 | end do |
|---|
| 1188 | |
|---|
| 1189 | !Calculation of the averaged albedo |
|---|
| 1190 | |
|---|
| 1191 | albm=pwin*albwin+(1-pwin)*albwal |
|---|
| 1192 | |
|---|
| 1193 | !Calculation of the matrix a |
|---|
| 1194 | |
|---|
| 1195 | a(1,1)=-1. |
|---|
| 1196 | |
|---|
| 1197 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1198 | |
|---|
| 1199 | a(1,2)=albm*fprl_int |
|---|
| 1200 | |
|---|
| 1201 | call fnrm_ints(fnrm_int,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1202 | |
|---|
| 1203 | a(1,3)=albm*(bw/aw)*fnrm_int |
|---|
| 1204 | |
|---|
| 1205 | a(1,4)=a(1,3) |
|---|
| 1206 | |
|---|
| 1207 | call fnrm_ints(fnrm_int,zw/aw,bw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1208 | |
|---|
| 1209 | a(1,5)=albwal*(bw/zw)*fnrm_int |
|---|
| 1210 | |
|---|
| 1211 | a(1,6)=a(1,5) |
|---|
| 1212 | |
|---|
| 1213 | |
|---|
| 1214 | a(2,1)=a(1,2) |
|---|
| 1215 | a(2,2)=-1. |
|---|
| 1216 | a(2,3)=a(1,3) |
|---|
| 1217 | a(2,4)=a(1,4) |
|---|
| 1218 | a(2,5)=a(1,5) |
|---|
| 1219 | a(2,6)=a(1,6) |
|---|
| 1220 | |
|---|
| 1221 | |
|---|
| 1222 | call fnrm_ints(fnrm_int,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1223 | |
|---|
| 1224 | a(3,1)=albm*(aw/bw)*fnrm_int |
|---|
| 1225 | a(3,2)=a(3,1) |
|---|
| 1226 | a(3,3)=-1. |
|---|
| 1227 | |
|---|
| 1228 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1229 | |
|---|
| 1230 | a(3,4)=albm*fprl_int |
|---|
| 1231 | |
|---|
| 1232 | call fnrm_ints(fnrm_int,zw/bw,aw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1233 | |
|---|
| 1234 | a(3,5)=albwal*(aw/zw)*fnrm_int |
|---|
| 1235 | a(3,6)=a(3,5) |
|---|
| 1236 | |
|---|
| 1237 | |
|---|
| 1238 | a(4,1)=a(3,1) |
|---|
| 1239 | a(4,2)=a(3,2) |
|---|
| 1240 | a(4,3)=a(3,4) |
|---|
| 1241 | a(4,4)=-1. |
|---|
| 1242 | a(4,5)=a(3,5) |
|---|
| 1243 | a(4,6)=a(3,6) |
|---|
| 1244 | |
|---|
| 1245 | call fnrm_ints(fnrm_int,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1246 | |
|---|
| 1247 | a(5,1)=albm*(zw/bw)*fnrm_int |
|---|
| 1248 | |
|---|
| 1249 | a(5,2)=a(5,1) |
|---|
| 1250 | |
|---|
| 1251 | call fnrm_ints(fnrm_int,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1252 | |
|---|
| 1253 | a(5,3)=albm*(zw/aw)*fnrm_int |
|---|
| 1254 | |
|---|
| 1255 | a(5,4)=a(5,3) |
|---|
| 1256 | a(5,5)=-1. |
|---|
| 1257 | |
|---|
| 1258 | call fprl_ints(fprl_int,aw/zw,bw/zw) |
|---|
| 1259 | |
|---|
| 1260 | a(5,6)=albwal*fprl_int |
|---|
| 1261 | |
|---|
| 1262 | |
|---|
| 1263 | a(6,1)=a(5,1) |
|---|
| 1264 | a(6,2)=a(5,2) |
|---|
| 1265 | a(6,3)=a(5,3) |
|---|
| 1266 | a(6,4)=a(5,4) |
|---|
| 1267 | a(6,5)=a(5,6) |
|---|
| 1268 | a(6,6)=-1. |
|---|
| 1269 | |
|---|
| 1270 | return |
|---|
| 1271 | end subroutine algebra_short |
|---|
| 1272 | |
|---|
| 1273 | !====6=8===============================================================72 |
|---|
| 1274 | !====6=8===============================================================72 |
|---|
| 1275 | |
|---|
| 1276 | subroutine algebra_long(emwal,emwin,sigma,twalint,twinint,& |
|---|
| 1277 | pwin,aw,bw,zw,a,b) |
|---|
| 1278 | |
|---|
| 1279 | !-------------------------------------------------------------------- |
|---|
| 1280 | !This routine computes the algebraic system that will be solved to |
|---|
| 1281 | !compute the longwave radiation that reachs the indoor |
|---|
| 1282 | !walls in a floor. |
|---|
| 1283 | !Write the matrix system ax=b to solve |
|---|
| 1284 | ! |
|---|
| 1285 | !a(1,1)Rl(1)+.............................+Rl(6)=b(1) |
|---|
| 1286 | !a(2,1)Rl(1)+.................+Rl(5)+a(2,6)Rl(6)=b(2) |
|---|
| 1287 | !a(3,1)Rl(1)+.....+Rl(3)+...........+a(3,6)Rl(6)=b(3) |
|---|
| 1288 | !a(4,1)Rl(1)+...........+Rl(4)+.....+a(4,6)Rl(6)=b(4) |
|---|
| 1289 | ! Rl(1)+.......................+a(5,6)Rl(6)=b(5) |
|---|
| 1290 | !a(6,1)Rl(1)+Rl(2)+.................+a(6,6)Rl(6)=b(6) |
|---|
| 1291 | ! |
|---|
| 1292 | !-------------------------------------------------------------------- |
|---|
| 1293 | implicit none |
|---|
| 1294 | |
|---|
| 1295 | !-------------------------------------------------------------------- |
|---|
| 1296 | |
|---|
| 1297 | !Input |
|---|
| 1298 | !----- |
|---|
| 1299 | |
|---|
| 1300 | real pwin !window proportion |
|---|
| 1301 | real emwal !emissivity of the internal walls |
|---|
| 1302 | real emwin !emissivity of the window |
|---|
| 1303 | real sigma !Stefan-Boltzmann constant [W/m2.K4] |
|---|
| 1304 | real twalint(6) !temperature of the first internal layers of a room [K] |
|---|
| 1305 | real twinint(4) !temperature of the windows [K] |
|---|
| 1306 | real aw !width of the wall |
|---|
| 1307 | real bw !length of the wall |
|---|
| 1308 | real zw !height of the wall |
|---|
| 1309 | real fprl_int !view factor |
|---|
| 1310 | real fnrm_int !view factor |
|---|
| 1311 | real fnrm_intx !view factor |
|---|
| 1312 | real fnrm_inty !view factor |
|---|
| 1313 | |
|---|
| 1314 | !Output |
|---|
| 1315 | !------ |
|---|
| 1316 | real b(6) !second member vector for the system |
|---|
| 1317 | real a(6,6) !matrix for the system |
|---|
| 1318 | !Local |
|---|
| 1319 | !----- |
|---|
| 1320 | integer iw,jw |
|---|
| 1321 | real b_wall(6) |
|---|
| 1322 | real b_wind(6) |
|---|
| 1323 | real emwal_av !averadge emissivity of the wall |
|---|
| 1324 | real emwin_av !averadge emissivity of the window |
|---|
| 1325 | real em_av !averadge emissivity |
|---|
| 1326 | real twal_int(6) !twalint |
|---|
| 1327 | real twin(4) !twinint |
|---|
| 1328 | !------------------------------------------------------------------ |
|---|
| 1329 | |
|---|
| 1330 | !Initialise the variables |
|---|
| 1331 | !------------------------- |
|---|
| 1332 | |
|---|
| 1333 | do iw=1,6 |
|---|
| 1334 | b(iw)= 0. |
|---|
| 1335 | b_wall(iw)=0. |
|---|
| 1336 | b_wind(iw)=0. |
|---|
| 1337 | do jw=1,6 |
|---|
| 1338 | a(iw,jw)= 0. |
|---|
| 1339 | enddo |
|---|
| 1340 | enddo |
|---|
| 1341 | |
|---|
| 1342 | do iw=1,6 |
|---|
| 1343 | twal_int(iw)=twalint(iw) |
|---|
| 1344 | enddo |
|---|
| 1345 | |
|---|
| 1346 | do iw=1,4 |
|---|
| 1347 | twin(iw)=twinint(iw) |
|---|
| 1348 | enddo |
|---|
| 1349 | |
|---|
| 1350 | !Calculation of the averadge emissivities |
|---|
| 1351 | !----------------------------------------- |
|---|
| 1352 | |
|---|
| 1353 | emwal_av=(1-pwin)*emwal |
|---|
| 1354 | emwin_av=pwin*emwin |
|---|
| 1355 | em_av=emwal_av+emwin_av |
|---|
| 1356 | |
|---|
| 1357 | !Calculation of the second term for the walls |
|---|
| 1358 | !------------------------------------------- |
|---|
| 1359 | |
|---|
| 1360 | call fprl_ints(fprl_int,aw/zw,bw/zw) |
|---|
| 1361 | call fnrm_ints(fnrm_intx,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1362 | call fnrm_ints(fnrm_inty,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1363 | |
|---|
| 1364 | b_wall(1)=(emwal*sigma*(twal_int(5)**4)* & |
|---|
| 1365 | fprl_int)+ & |
|---|
| 1366 | (sigma*(emwal_av*(twal_int(3)**4)+ & |
|---|
| 1367 | emwal_av*(twal_int(4)**4))* & |
|---|
| 1368 | (zw/aw)*fnrm_intx)+ & |
|---|
| 1369 | (sigma*(emwal_av*(twal_int(1)**4)+ & |
|---|
| 1370 | emwal_av*(twal_int(2)**4))* & |
|---|
| 1371 | (zw/bw)*fnrm_inty) |
|---|
| 1372 | |
|---|
| 1373 | call fprl_ints(fprl_int,aw/zw,bw/zw) |
|---|
| 1374 | call fnrm_ints(fnrm_intx,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1375 | call fnrm_ints(fnrm_inty,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1376 | |
|---|
| 1377 | b_wall(2)=(emwal*sigma*(twal_int(6)**4)* & |
|---|
| 1378 | fprl_int)+ & |
|---|
| 1379 | (sigma*(emwal_av*(twal_int(3)**4)+ & |
|---|
| 1380 | emwal_av*(twal_int(4)**4))* & |
|---|
| 1381 | (zw/aw)*fnrm_intx)+ & |
|---|
| 1382 | (sigma*(emwal_av*(twal_int(1)**4)+ & |
|---|
| 1383 | emwal_av*(twal_int(2)**4))* & |
|---|
| 1384 | (zw/bw)*fnrm_inty) |
|---|
| 1385 | |
|---|
| 1386 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1387 | call fnrm_ints(fnrm_intx,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1388 | call fnrm_ints(fnrm_inty,zw/bw,aw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1389 | |
|---|
| 1390 | b_wall(3)=(emwal_av*sigma*(twal_int(4)**4)* & |
|---|
| 1391 | fprl_int)+ & |
|---|
| 1392 | (sigma*(emwal_av*(twal_int(2)**4)+ & |
|---|
| 1393 | emwal_av*(twal_int(1)**4))* & |
|---|
| 1394 | (aw/bw)*fnrm_intx)+ & |
|---|
| 1395 | (sigma*(emwal*(twal_int(5)**4)+ & |
|---|
| 1396 | emwal*(twal_int(6)**4))* & |
|---|
| 1397 | (aw/zw)*fnrm_inty) |
|---|
| 1398 | |
|---|
| 1399 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1400 | call fnrm_ints(fnrm_intx,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1401 | call fnrm_ints(fnrm_inty,zw/bw,aw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1402 | |
|---|
| 1403 | b_wall(4)=(emwal_av*sigma*(twal_int(3)**4)* & |
|---|
| 1404 | fprl_int)+ & |
|---|
| 1405 | (sigma*(emwal_av*(twal_int(2)**4)+ & |
|---|
| 1406 | emwal_av*(twal_int(1)**4))* & |
|---|
| 1407 | (aw/bw)*fnrm_intx)+ & |
|---|
| 1408 | (sigma*(emwal*(twal_int(5)**4)+ & |
|---|
| 1409 | emwal*(twal_int(6)**4))* & |
|---|
| 1410 | (aw/zw)*fnrm_inty) |
|---|
| 1411 | |
|---|
| 1412 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1413 | call fnrm_ints(fnrm_intx,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1414 | call fnrm_ints(fnrm_inty,zw/aw,bw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1415 | |
|---|
| 1416 | b_wall(5)=(emwal_av*sigma*(twal_int(2)**4)* & |
|---|
| 1417 | fprl_int)+ & |
|---|
| 1418 | (sigma*(emwal_av*(twal_int(3)**4)+ & |
|---|
| 1419 | emwal_av*(twal_int(4)**4))* & |
|---|
| 1420 | (bw/aw)*fnrm_intx)+ & |
|---|
| 1421 | (sigma*(emwal*(twal_int(5)**4)+ & |
|---|
| 1422 | emwal*(twal_int(6)**4))* & |
|---|
| 1423 | (bw/zw)*fnrm_inty) |
|---|
| 1424 | |
|---|
| 1425 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1426 | call fnrm_ints(fnrm_intx,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1427 | call fnrm_ints(fnrm_inty,zw/aw,bw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1428 | |
|---|
| 1429 | b_wall(6)=(emwal_av*sigma*(twal_int(1)**4)* & |
|---|
| 1430 | fprl_int)+ & |
|---|
| 1431 | (sigma*(emwal_av*(twal_int(3)**4)+ & |
|---|
| 1432 | emwal_av*(twal_int(4)**4))* & |
|---|
| 1433 | (bw/aw)*fnrm_intx)+ & |
|---|
| 1434 | (sigma*(emwal*(twal_int(5)**4)+ & |
|---|
| 1435 | emwal*(twal_int(6)**4))* & |
|---|
| 1436 | (bw/zw)*fnrm_inty) |
|---|
| 1437 | |
|---|
| 1438 | !Calculation of the second term for the windows |
|---|
| 1439 | !--------------------------------------------- |
|---|
| 1440 | call fnrm_ints(fnrm_intx,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1441 | call fnrm_ints(fnrm_inty,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1442 | |
|---|
| 1443 | b_wind(1)=(sigma*(emwin_av*(twin(3)**4)+ & |
|---|
| 1444 | emwin_av*(twin(4)**4))* & |
|---|
| 1445 | (zw/aw)*fnrm_intx)+ & |
|---|
| 1446 | (sigma*(emwin_av*(twin(1)**4)+ & |
|---|
| 1447 | emwin_av*(twin(2)**4))* & |
|---|
| 1448 | (zw/bw)*fnrm_inty) |
|---|
| 1449 | |
|---|
| 1450 | call fnrm_ints(fnrm_intx,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1451 | call fnrm_ints(fnrm_inty,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1452 | |
|---|
| 1453 | b_wind(2)=(sigma*(emwin_av*(twin(3)**4)+ & |
|---|
| 1454 | emwin_av*(twin(4)**4))* & |
|---|
| 1455 | (zw/aw)*fnrm_intx)+ & |
|---|
| 1456 | (sigma*(emwin_av*(twin(1)**4)+ & |
|---|
| 1457 | emwin_av*(twin(2)**4))* & |
|---|
| 1458 | (zw/bw)*fnrm_inty) |
|---|
| 1459 | |
|---|
| 1460 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1461 | call fnrm_ints(fnrm_int,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1462 | |
|---|
| 1463 | b_wind(3)=emwin_av*sigma*(twin(4)**4)* & |
|---|
| 1464 | fprl_int+(sigma*(emwin_av* & |
|---|
| 1465 | (twin(2)**4)+emwin_av*(twin(1)**4))* & |
|---|
| 1466 | (aw/bw)*fnrm_int) |
|---|
| 1467 | |
|---|
| 1468 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1469 | call fnrm_ints(fnrm_int,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1470 | |
|---|
| 1471 | b_wind(4)=emwin_av*sigma*(twin(3)**4)* & |
|---|
| 1472 | fprl_int+(sigma*(emwin_av* & |
|---|
| 1473 | (twin(2)**4)+emwin_av*(twin(1)**4))* & |
|---|
| 1474 | (aw/bw)*fnrm_int) |
|---|
| 1475 | |
|---|
| 1476 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1477 | call fnrm_ints(fnrm_int,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1478 | |
|---|
| 1479 | b_wind(5)=emwin_av*sigma*(twin(2)**4)* & |
|---|
| 1480 | fprl_int+(sigma*(emwin_av* & |
|---|
| 1481 | (twin(3)**4)+emwin_av*(twin(4)**4))* & |
|---|
| 1482 | (bw/aw)*fnrm_int) |
|---|
| 1483 | |
|---|
| 1484 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1485 | call fnrm_ints(fnrm_int,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1486 | |
|---|
| 1487 | b_wind(6)=emwin_av*sigma*(twin(1)**4)* & |
|---|
| 1488 | fprl_int+(sigma*(emwin_av* & |
|---|
| 1489 | (twin(3)**4)+emwin_av*(twin(4)**4))* & |
|---|
| 1490 | (bw/aw)*fnrm_int) |
|---|
| 1491 | |
|---|
| 1492 | !Calculation of the total b term |
|---|
| 1493 | !------------------------------- |
|---|
| 1494 | |
|---|
| 1495 | do iw=1,6 |
|---|
| 1496 | b(iw)=b_wall(iw)+b_wind(iw) |
|---|
| 1497 | end do |
|---|
| 1498 | |
|---|
| 1499 | |
|---|
| 1500 | !Calculation of the matrix of the system |
|---|
| 1501 | !---------------------------------------- |
|---|
| 1502 | |
|---|
| 1503 | call fnrm_ints(fnrm_int,bw/aw,zw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1504 | |
|---|
| 1505 | a(1,1)=(em_av-1.)*(zw/bw)*fnrm_int |
|---|
| 1506 | |
|---|
| 1507 | a(1,2)=a(1,1) |
|---|
| 1508 | |
|---|
| 1509 | call fnrm_ints(fnrm_int,aw/bw,zw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1510 | |
|---|
| 1511 | a(1,3)=(em_av-1.)*(zw/aw)*fnrm_int |
|---|
| 1512 | |
|---|
| 1513 | a(1,4)=a(1,3) |
|---|
| 1514 | |
|---|
| 1515 | call fprl_ints(fprl_int,aw/zw,bw/zw) |
|---|
| 1516 | |
|---|
| 1517 | a(1,5)=(emwal-1.)*fprl_int |
|---|
| 1518 | a(1,6)=1. |
|---|
| 1519 | |
|---|
| 1520 | a(2,1)=a(1,1) |
|---|
| 1521 | a(2,2)=a(1,2) |
|---|
| 1522 | a(2,3)=a(1,3) |
|---|
| 1523 | a(2,4)=a(1,4) |
|---|
| 1524 | a(2,5)=1. |
|---|
| 1525 | a(2,6)=a(1,5) |
|---|
| 1526 | |
|---|
| 1527 | call fnrm_ints(fnrm_int,bw/zw,aw/zw,(bw*bw+aw*aw)/(zw*zw)) |
|---|
| 1528 | |
|---|
| 1529 | a(3,1)=(em_av-1.)*(aw/bw)*fnrm_int |
|---|
| 1530 | |
|---|
| 1531 | a(3,2)=a(3,1) |
|---|
| 1532 | a(3,3)=1. |
|---|
| 1533 | |
|---|
| 1534 | call fprl_ints(fprl_int,zw/aw,bw/aw) |
|---|
| 1535 | |
|---|
| 1536 | a(3,4)=(em_av-1.)*fprl_int |
|---|
| 1537 | |
|---|
| 1538 | call fnrm_ints(fnrm_int,zw/bw,aw/bw,(aw*aw+zw*zw)/(bw*bw)) |
|---|
| 1539 | |
|---|
| 1540 | a(3,5)=(emwal-1.)*(aw/zw)*fnrm_int |
|---|
| 1541 | |
|---|
| 1542 | a(3,6)=a(3,5) |
|---|
| 1543 | |
|---|
| 1544 | a(4,1)=a(3,1) |
|---|
| 1545 | a(4,2)=a(3,2) |
|---|
| 1546 | a(4,3)=a(3,4) |
|---|
| 1547 | a(4,4)=1. |
|---|
| 1548 | a(4,5)=a(3,5) |
|---|
| 1549 | a(4,6)=a(3,6) |
|---|
| 1550 | |
|---|
| 1551 | a(5,1)=1. |
|---|
| 1552 | |
|---|
| 1553 | call fprl_ints(fprl_int,aw/bw,zw/bw) |
|---|
| 1554 | |
|---|
| 1555 | a(5,2)=(em_av-1.)*fprl_int |
|---|
| 1556 | |
|---|
| 1557 | call fnrm_ints(fnrm_int,aw/zw,bw/zw,(aw*aw+bw*bw)/(zw*zw)) |
|---|
| 1558 | |
|---|
| 1559 | a(5,3)=(em_av-1.)*(bw/aw)*fnrm_int |
|---|
| 1560 | |
|---|
| 1561 | a(5,4)=a(5,3) |
|---|
| 1562 | |
|---|
| 1563 | call fnrm_ints(fnrm_int,zw/aw,bw/aw,(bw*bw+zw*zw)/(aw*aw)) |
|---|
| 1564 | |
|---|
| 1565 | a(5,5)=(emwal-1.)*(bw/zw)*fnrm_int |
|---|
| 1566 | |
|---|
| 1567 | a(5,6)=a(5,5) |
|---|
| 1568 | |
|---|
| 1569 | a(6,1)=a(5,2) |
|---|
| 1570 | a(6,2)=1. |
|---|
| 1571 | a(6,3)=a(5,3) |
|---|
| 1572 | a(6,4)=a(5,4) |
|---|
| 1573 | a(6,5)=a(5,5) |
|---|
| 1574 | a(6,6)=a(6,5) |
|---|
| 1575 | |
|---|
| 1576 | return |
|---|
| 1577 | end subroutine algebra_long |
|---|
| 1578 | |
|---|
| 1579 | !====6=8===============================================================72 |
|---|
| 1580 | !====6=8===============================================================72 |
|---|
| 1581 | |
|---|
| 1582 | |
|---|
| 1583 | subroutine fluxroo(hseqocc,hleqocc,hsvent,hlvent, & |
|---|
| 1584 | hscond,hslev,hllev) |
|---|
| 1585 | |
|---|
| 1586 | !----------------------------------------------------------------------- |
|---|
| 1587 | !This routine calculates the heat flux generated inside the room |
|---|
| 1588 | !and the heat ejected to the atmosphere. |
|---|
| 1589 | !---------------------------------------------------------------------- |
|---|
| 1590 | |
|---|
| 1591 | implicit none |
|---|
| 1592 | |
|---|
| 1593 | !----------------------------------------------------------------------- |
|---|
| 1594 | |
|---|
| 1595 | !Input |
|---|
| 1596 | !----- |
|---|
| 1597 | real hseqocc !sensible heat generated by equipments and occupants [W] |
|---|
| 1598 | real hleqocc !latent heat generated by occupants [W] |
|---|
| 1599 | real hsvent !sensible heat generated by natural ventilation [W] |
|---|
| 1600 | real hlvent !latent heat generated by natural ventilation [W] |
|---|
| 1601 | real hscond !sensible heat generated by wall conduction |
|---|
| 1602 | |
|---|
| 1603 | !Output |
|---|
| 1604 | !------ |
|---|
| 1605 | real hslev !sensible heat flux generated inside the room [W] |
|---|
| 1606 | real hllev !latent heat flux generatd inside the room |
|---|
| 1607 | |
|---|
| 1608 | |
|---|
| 1609 | !Calculation of the total sensible heat generated inside the room |
|---|
| 1610 | |
|---|
| 1611 | hslev=hseqocc+hsvent+hscond |
|---|
| 1612 | |
|---|
| 1613 | !Calculation of the total latent heat generated inside the room |
|---|
| 1614 | |
|---|
| 1615 | hllev=hleqocc+hlvent |
|---|
| 1616 | |
|---|
| 1617 | return |
|---|
| 1618 | end subroutine fluxroo |
|---|
| 1619 | |
|---|
| 1620 | !====6=8===============================================================72 |
|---|
| 1621 | !====6=8===============================================================72 |
|---|
| 1622 | |
|---|
| 1623 | subroutine phirat(nhourday,rocc) |
|---|
| 1624 | |
|---|
| 1625 | !---------------------------------------------------------------------- |
|---|
| 1626 | !This routine calculates the occupation ratio of a floor |
|---|
| 1627 | !By now we suppose a constant value |
|---|
| 1628 | !---------------------------------------------------------------------- |
|---|
| 1629 | |
|---|
| 1630 | implicit none |
|---|
| 1631 | |
|---|
| 1632 | !Input |
|---|
| 1633 | !----- |
|---|
| 1634 | |
|---|
| 1635 | real nhourday ! number of hours from midnight (local time) |
|---|
| 1636 | |
|---|
| 1637 | !Output |
|---|
| 1638 | !------ |
|---|
| 1639 | real rocc !value between 0 and 1 |
|---|
| 1640 | |
|---|
| 1641 | !!TEST |
|---|
| 1642 | rocc=1. |
|---|
| 1643 | |
|---|
| 1644 | return |
|---|
| 1645 | end subroutine phirat |
|---|
| 1646 | |
|---|
| 1647 | !====6=8===============================================================72 |
|---|
| 1648 | !====6=8===============================================================72 |
|---|
| 1649 | |
|---|
| 1650 | subroutine phiequ(nhourday,hsesf,hsequip,hsequ) |
|---|
| 1651 | |
|---|
| 1652 | !---------------------------------------------------------------------- |
|---|
| 1653 | !This routine calculates the sensible heat gain from equipments |
|---|
| 1654 | !---------------------------------------------------------------------- |
|---|
| 1655 | implicit none |
|---|
| 1656 | !Input |
|---|
| 1657 | !----- |
|---|
| 1658 | |
|---|
| 1659 | real nhourday ! number of hours from midnight, Local time |
|---|
| 1660 | real, intent(in) :: hsesf |
|---|
| 1661 | real, intent(in), dimension(24) :: hsequip |
|---|
| 1662 | |
|---|
| 1663 | !Output |
|---|
| 1664 | !------ |
|---|
| 1665 | real hsequ !sensible heat gain from equipment [Wm¯2] |
|---|
| 1666 | |
|---|
| 1667 | !--------------------------------------------------------------------- |
|---|
| 1668 | |
|---|
| 1669 | hsequ = hsequip(int(nhourday)+1) * hsesf |
|---|
| 1670 | |
|---|
| 1671 | end subroutine phiequ |
|---|
| 1672 | !====6=8===============================================================72 |
|---|
| 1673 | !====6=8===============================================================72 |
|---|
| 1674 | |
|---|
| 1675 | subroutine fluxeqocc(nhourday,bw,bl,perflo,hsesf,hsequip,hseqocc,hleqocc) |
|---|
| 1676 | |
|---|
| 1677 | implicit none |
|---|
| 1678 | |
|---|
| 1679 | !--------------------------------------------------------------------- |
|---|
| 1680 | !This routine calculates the sensible and the latent heat flux |
|---|
| 1681 | !generated by equipments and occupants |
|---|
| 1682 | !--------------------------------------------------------------------- |
|---|
| 1683 | |
|---|
| 1684 | !Input |
|---|
| 1685 | !----- |
|---|
| 1686 | real bw !Room width [m] |
|---|
| 1687 | real bl !Room lengzh [m] |
|---|
| 1688 | real nhourday !number of hours from the beginning of the day |
|---|
| 1689 | real, intent(in) :: perflo ! Peak number of occupants per unit floor area |
|---|
| 1690 | real, intent(in) :: hsesf |
|---|
| 1691 | real, intent(in), dimension(24) :: hsequip |
|---|
| 1692 | |
|---|
| 1693 | !Output |
|---|
| 1694 | !------ |
|---|
| 1695 | real hseqocc !sensible heat generated by equipments and occupants [W] |
|---|
| 1696 | real hleqocc !latent heat generated by occupants [W] |
|---|
| 1697 | !Local |
|---|
| 1698 | !----- |
|---|
| 1699 | real Af !Air conditioned floor area [m2] |
|---|
| 1700 | real rocc !Occupation ratio of the floor [0,1] |
|---|
| 1701 | real hsequ !Heat generated from equipments |
|---|
| 1702 | |
|---|
| 1703 | real hsocc !Sensible heat generated by a person [W/Person] |
|---|
| 1704 | !Source Boundary Layer Climates,page 195 (book) |
|---|
| 1705 | parameter (hsocc=160.) |
|---|
| 1706 | |
|---|
| 1707 | real hlocc !Latent heat generated by a person [W/Person] |
|---|
| 1708 | !Source Boundary Layer Climates,page 225 (book) |
|---|
| 1709 | parameter (hlocc=1.96e6/86400.) |
|---|
| 1710 | |
|---|
| 1711 | !------------------------------------------------------------------ |
|---|
| 1712 | ! Sensible heat flux |
|---|
| 1713 | ! ------------------ |
|---|
| 1714 | |
|---|
| 1715 | Af=bw*bl |
|---|
| 1716 | |
|---|
| 1717 | call phirat(nhourday,rocc) |
|---|
| 1718 | |
|---|
| 1719 | call phiequ(nhourday,hsesf,hsequip,hsequ) |
|---|
| 1720 | |
|---|
| 1721 | hseqocc=Af*rocc*perflo*hsocc+Af*hsequ |
|---|
| 1722 | |
|---|
| 1723 | ! |
|---|
| 1724 | ! Latent heat |
|---|
| 1725 | ! ----------- |
|---|
| 1726 | ! |
|---|
| 1727 | |
|---|
| 1728 | hleqocc=Af*rocc*perflo*hlocc |
|---|
| 1729 | |
|---|
| 1730 | return |
|---|
| 1731 | end subroutine fluxeqocc |
|---|
| 1732 | |
|---|
| 1733 | !====6=8===============================================================72 |
|---|
| 1734 | !====6=8===============================================================72 |
|---|
| 1735 | |
|---|
| 1736 | subroutine fluxvent(cpint,rhoint,vollev,tlev,tout,latent,& |
|---|
| 1737 | humout,rhoout,humlev,beta,hsvent,hlvent) |
|---|
| 1738 | |
|---|
| 1739 | implicit none |
|---|
| 1740 | |
|---|
| 1741 | !--------------------------------------------------------------------- |
|---|
| 1742 | !This routine calculates the sensible and the latent heat flux |
|---|
| 1743 | !generated by natural ventilation |
|---|
| 1744 | !--------------------------------------------------------------------- |
|---|
| 1745 | |
|---|
| 1746 | !Input |
|---|
| 1747 | !----- |
|---|
| 1748 | real cpint !specific heat of the indoor air [J/kg.K] |
|---|
| 1749 | real rhoint !density of the indoor air [Kg/m3] |
|---|
| 1750 | real vollev !volume of the room [m3] |
|---|
| 1751 | real tlev !Room temperature [K] |
|---|
| 1752 | real tout !outside air temperature [K] |
|---|
| 1753 | real latent !latent heat of evaporation [J/Kg] |
|---|
| 1754 | real humout !outside absolute humidity [Kgwater/Kgair] |
|---|
| 1755 | real rhoout !air density [kg/m3] |
|---|
| 1756 | real humlev !Specific humidity of the indoor air [Kgwater/Kgair] |
|---|
| 1757 | real, intent(in) :: beta!Thermal efficiency of the heat exchanger |
|---|
| 1758 | |
|---|
| 1759 | !Output |
|---|
| 1760 | !------ |
|---|
| 1761 | real hsvent !sensible heat generated by natural ventilation [W] |
|---|
| 1762 | real hlvent !latent heat generated by natural ventilation [W] |
|---|
| 1763 | |
|---|
| 1764 | !Local |
|---|
| 1765 | !----- |
|---|
| 1766 | |
|---|
| 1767 | !---------------------------------------------------------------------- |
|---|
| 1768 | |
|---|
| 1769 | ! Sensible heat flux |
|---|
| 1770 | ! ------------------ |
|---|
| 1771 | |
|---|
| 1772 | hsvent=(1.-beta)*cpint*rhoint*(vollev/3600.)* & |
|---|
| 1773 | (tout-tlev) |
|---|
| 1774 | |
|---|
| 1775 | ! Latent heat flux |
|---|
| 1776 | ! ---------------- |
|---|
| 1777 | |
|---|
| 1778 | hlvent=(1.-beta)*latent*rhoint*(vollev/3600.)* & |
|---|
| 1779 | (humout-humlev) |
|---|
| 1780 | |
|---|
| 1781 | |
|---|
| 1782 | return |
|---|
| 1783 | end subroutine fluxvent |
|---|
| 1784 | |
|---|
| 1785 | !====6=8===============================================================72 |
|---|
| 1786 | !====6=8===============================================================72 |
|---|
| 1787 | |
|---|
| 1788 | subroutine fluxcond(hswalins,hswinins,surwal,pwin,hscond) |
|---|
| 1789 | |
|---|
| 1790 | implicit none |
|---|
| 1791 | |
|---|
| 1792 | !--------------------------------------------------------------------- |
|---|
| 1793 | !This routine calculates the sensible heat flux generated by |
|---|
| 1794 | !wall conduction. |
|---|
| 1795 | !--------------------------------------------------------------------- |
|---|
| 1796 | |
|---|
| 1797 | !Input |
|---|
| 1798 | !----- |
|---|
| 1799 | real hswalins(6) !sensible heat at the internal layers of the wall [W/m2] |
|---|
| 1800 | real hswinins(4) !internal window sensible heat flux [W/m2] |
|---|
| 1801 | real surwal(6) !surfaces of the room walls [m2] |
|---|
| 1802 | real pwin !window proportion |
|---|
| 1803 | |
|---|
| 1804 | |
|---|
| 1805 | !Output |
|---|
| 1806 | !------ |
|---|
| 1807 | |
|---|
| 1808 | real hscond !sensible heat generated by wall conduction [W] |
|---|
| 1809 | |
|---|
| 1810 | !Local |
|---|
| 1811 | !----- |
|---|
| 1812 | |
|---|
| 1813 | integer ivw |
|---|
| 1814 | |
|---|
| 1815 | !---------------------------------------------------------------------- |
|---|
| 1816 | |
|---|
| 1817 | hscond=0. |
|---|
| 1818 | |
|---|
| 1819 | do ivw=1,4 |
|---|
| 1820 | hscond=hscond+surwal(ivw)*(1-pwin)*hswalins(ivw)+ & |
|---|
| 1821 | surwal(ivw)*pwin*hswinins(ivw) |
|---|
| 1822 | end do |
|---|
| 1823 | |
|---|
| 1824 | do ivw=5,6 |
|---|
| 1825 | hscond=hscond+surwal(ivw)*hswalins(ivw) |
|---|
| 1826 | end do |
|---|
| 1827 | ! |
|---|
| 1828 | !Finally we must change the sign in hscond to be proportional |
|---|
| 1829 | !to the difference (Twall-Tindoor). |
|---|
| 1830 | ! |
|---|
| 1831 | hscond=(-1)*hscond |
|---|
| 1832 | |
|---|
| 1833 | return |
|---|
| 1834 | end subroutine fluxcond |
|---|
| 1835 | |
|---|
| 1836 | !====6=8===============================================================72 |
|---|
| 1837 | !====6=8===============================================================72 |
|---|
| 1838 | |
|---|
| 1839 | subroutine regtemp(swcond,nhourday,dt,Qb,hsroo, & |
|---|
| 1840 | tlev,timeon,timeoff,targtemp,gaptemp,hsneed) |
|---|
| 1841 | |
|---|
| 1842 | implicit none |
|---|
| 1843 | |
|---|
| 1844 | !--------------------------------------------------------------------- |
|---|
| 1845 | !This routine calculates the sensible heat fluxes, |
|---|
| 1846 | !after anthropogenic regulation (air conditioning) |
|---|
| 1847 | !--------------------------------------------------------------------- |
|---|
| 1848 | |
|---|
| 1849 | !Input: |
|---|
| 1850 | !-----. |
|---|
| 1851 | integer swcond !swich air conditioning |
|---|
| 1852 | real nhourday !number of hours from the beginning of the day real |
|---|
| 1853 | real dt !time step [s] |
|---|
| 1854 | real Qb !overall heat capacity of the indoor air [J/K] |
|---|
| 1855 | real hsroo !sensible heat flux generated inside the room [W] |
|---|
| 1856 | real tlev !room air temperature [K] |
|---|
| 1857 | real, intent(in) :: timeon ! Initial local time of A/C systems |
|---|
| 1858 | real, intent(in) :: timeoff ! Ending local time of A/C systems |
|---|
| 1859 | real, intent(in) :: targtemp! Target temperature of A/C systems |
|---|
| 1860 | real, intent(in) :: gaptemp ! Comfort range of indoor temperature |
|---|
| 1861 | |
|---|
| 1862 | |
|---|
| 1863 | !Local: |
|---|
| 1864 | !-----. |
|---|
| 1865 | |
|---|
| 1866 | real templev !hipotetical room air temperature [K] |
|---|
| 1867 | real alpha !variable to control the heating/cooling of |
|---|
| 1868 | !the air conditining system |
|---|
| 1869 | !Output: |
|---|
| 1870 | !-----. |
|---|
| 1871 | real hsneed !sensible heat extracted to the indoor air [W] |
|---|
| 1872 | !--------------------------------------------------------------------- |
|---|
| 1873 | !initialize variables |
|---|
| 1874 | !--------------------- |
|---|
| 1875 | templev = 0. |
|---|
| 1876 | alpha = 0. |
|---|
| 1877 | |
|---|
| 1878 | if (swcond.eq.0) then ! there is not air conditioning in the floor |
|---|
| 1879 | hsneed = 0. |
|---|
| 1880 | goto 100 |
|---|
| 1881 | else |
|---|
| 1882 | if ((nhourday.ge.timeon).and.(nhourday.le.timeoff)) then |
|---|
| 1883 | templev=tlev+(dt/Qb)*hsroo |
|---|
| 1884 | goto 200 |
|---|
| 1885 | else |
|---|
| 1886 | hsneed = 0. ! air conditioning is switched off |
|---|
| 1887 | goto 100 |
|---|
| 1888 | endif |
|---|
| 1889 | endif |
|---|
| 1890 | |
|---|
| 1891 | 200 continue |
|---|
| 1892 | |
|---|
| 1893 | if (abs(templev-targtemp).le.gaptemp) then |
|---|
| 1894 | hsneed = 0. |
|---|
| 1895 | else |
|---|
| 1896 | if (templev.gt.(targtemp+gaptemp)) then |
|---|
| 1897 | hsneed=hsroo-(Qb/dt)*(targtemp+gaptemp-tlev) |
|---|
| 1898 | alpha=(abs(hsneed-hsroo)/Qb) |
|---|
| 1899 | if (alpha.gt.temp_rat) then |
|---|
| 1900 | hsneed=hsroo+temp_rat*Qb |
|---|
| 1901 | goto 100 |
|---|
| 1902 | else |
|---|
| 1903 | goto 100 |
|---|
| 1904 | endif |
|---|
| 1905 | else |
|---|
| 1906 | hsneed=hsroo-(Qb/dt)*(targtemp-gaptemp-tlev) |
|---|
| 1907 | alpha=(abs(hsneed-hsroo)/Qb) |
|---|
| 1908 | if (alpha.gt.temp_rat) then |
|---|
| 1909 | hsneed=hsroo-temp_rat*Qb |
|---|
| 1910 | goto 100 |
|---|
| 1911 | else |
|---|
| 1912 | goto 100 |
|---|
| 1913 | endif |
|---|
| 1914 | endif |
|---|
| 1915 | endif |
|---|
| 1916 | |
|---|
| 1917 | 100 continue |
|---|
| 1918 | return |
|---|
| 1919 | end subroutine regtemp |
|---|
| 1920 | |
|---|
| 1921 | !====6=8==============================================================72 |
|---|
| 1922 | !====6=8==============================================================72 |
|---|
| 1923 | |
|---|
| 1924 | subroutine reghum(swcond,nhourday,dt,volroo,rhoint,latent, & |
|---|
| 1925 | hlroo,shumroo,timeon,timeoff,targhum,gaphum,hlneed) |
|---|
| 1926 | |
|---|
| 1927 | implicit none |
|---|
| 1928 | |
|---|
| 1929 | !--------------------------------------------------------------------- |
|---|
| 1930 | !This routine calculates the latent heat fluxes, |
|---|
| 1931 | !after anthropogenic regulation (air conditioning) |
|---|
| 1932 | !--------------------------------------------------------------------- |
|---|
| 1933 | |
|---|
| 1934 | !Input: |
|---|
| 1935 | !-----. |
|---|
| 1936 | integer swcond !swich air conditioning |
|---|
| 1937 | real nhourday !number of hours from the beginning of the day real[h] |
|---|
| 1938 | real dt !time step [s] |
|---|
| 1939 | real volroo !volume of the room [m3] |
|---|
| 1940 | real rhoint !density of the internal air [Kg/m3] |
|---|
| 1941 | real latent !latent heat of evaporation [J/Kg] |
|---|
| 1942 | real hlroo !latent heat flux generated inside the room [W] |
|---|
| 1943 | real shumroo !specific humidity of the indoor air [kg/kg] |
|---|
| 1944 | real, intent(in) :: timeon ! Initial local time of A/C systems |
|---|
| 1945 | real, intent(in) :: timeoff ! Ending local time of A/C systems |
|---|
| 1946 | real, intent(in) :: targhum ! Target humidity of the A/C systems |
|---|
| 1947 | real, intent(in) :: gaphum ! comfort range of the specific humidity |
|---|
| 1948 | |
|---|
| 1949 | !Local: |
|---|
| 1950 | !-----. |
|---|
| 1951 | |
|---|
| 1952 | real humlev !hipotetical specific humidity of the indoor [kg/kg] |
|---|
| 1953 | real betha !variable to control the drying/moistening of |
|---|
| 1954 | !the air conditioning system |
|---|
| 1955 | !Output: |
|---|
| 1956 | !-----. |
|---|
| 1957 | real hlneed !latent heat extracted to the indoor air [W] |
|---|
| 1958 | !------------------------------------------------------------------------ |
|---|
| 1959 | !initialize variables |
|---|
| 1960 | !--------------------- |
|---|
| 1961 | humlev = 0. |
|---|
| 1962 | betha = 0. |
|---|
| 1963 | |
|---|
| 1964 | if (swcond.eq.0) then ! there is not air conditioning in the floor |
|---|
| 1965 | hlneed = 0. |
|---|
| 1966 | goto 100 |
|---|
| 1967 | else |
|---|
| 1968 | if ((nhourday.ge.timeon).and.(nhourday.le.timeoff)) then |
|---|
| 1969 | humlev=shumroo+(dt/(latent*rhoint*volroo))*hlroo |
|---|
| 1970 | goto 200 |
|---|
| 1971 | else |
|---|
| 1972 | hlneed = 0. ! air conditioning is switched off |
|---|
| 1973 | goto 100 |
|---|
| 1974 | endif |
|---|
| 1975 | endif |
|---|
| 1976 | |
|---|
| 1977 | 200 continue |
|---|
| 1978 | |
|---|
| 1979 | if (abs(humlev-targhum).le.gaphum) then |
|---|
| 1980 | hlneed = 0. |
|---|
| 1981 | else |
|---|
| 1982 | if (humlev.gt.(targhum+gaphum)) then |
|---|
| 1983 | hlneed=hlroo-((latent*rhoint*volroo)/dt)* & |
|---|
| 1984 | (targhum+gaphum-shumroo) |
|---|
| 1985 | betha=abs(hlneed-hlroo)/(latent*rhoint*volroo) |
|---|
| 1986 | if (betha.gt.hum_rat) then |
|---|
| 1987 | hlneed=hlroo+hum_rat*(latent*rhoint*volroo) |
|---|
| 1988 | goto 100 |
|---|
| 1989 | else |
|---|
| 1990 | goto 100 |
|---|
| 1991 | endif |
|---|
| 1992 | else |
|---|
| 1993 | hlneed=hlroo-((latent*rhoint*volroo)/dt)* & |
|---|
| 1994 | (targhum-gaphum-shumroo) |
|---|
| 1995 | betha=abs(hlneed-hlroo)/(latent*rhoint*volroo) |
|---|
| 1996 | if (betha.gt.hum_rat) then |
|---|
| 1997 | hlneed=hlroo-hum_rat*(latent*rhoint*volroo) |
|---|
| 1998 | goto 100 |
|---|
| 1999 | else |
|---|
| 2000 | goto 100 |
|---|
| 2001 | endif |
|---|
| 2002 | endif |
|---|
| 2003 | endif |
|---|
| 2004 | |
|---|
| 2005 | 100 continue |
|---|
| 2006 | return |
|---|
| 2007 | end subroutine reghum |
|---|
| 2008 | |
|---|
| 2009 | !====6=8==============================================================72 |
|---|
| 2010 | !====6=8==============================================================72 |
|---|
| 2011 | |
|---|
| 2012 | subroutine air_cond(hsneed,hlneed,dt,hsout,hlout,consump,cop) |
|---|
| 2013 | |
|---|
| 2014 | implicit none |
|---|
| 2015 | |
|---|
| 2016 | ! |
|---|
| 2017 | !Performance of the air conditioning system |
|---|
| 2018 | ! |
|---|
| 2019 | !INPUT/OUTPUT VARIABLES |
|---|
| 2020 | real, intent(in) :: cop |
|---|
| 2021 | ! |
|---|
| 2022 | !INPUT/OUTPUT VARIABLES |
|---|
| 2023 | ! |
|---|
| 2024 | real hsneed !sensible heat that is necessary for cooling/heating |
|---|
| 2025 | !the indoor air temperature [W] |
|---|
| 2026 | real hlneed !latent heat that is necessary for controling |
|---|
| 2027 | !the humidity of the indoor air [W] |
|---|
| 2028 | real dt !time step [s] |
|---|
| 2029 | ! |
|---|
| 2030 | !OUTPUT VARIABLES |
|---|
| 2031 | ! |
|---|
| 2032 | real hsout !sensible heat pumped out into the atmosphere [W] |
|---|
| 2033 | real hlout !latent heat pumped out into the atmosphere [W] |
|---|
| 2034 | real consump !Electrical consumption of the air conditioning system [W] |
|---|
| 2035 | |
|---|
| 2036 | |
|---|
| 2037 | ! |
|---|
| 2038 | !Performance of the air conditioning system |
|---|
| 2039 | ! |
|---|
| 2040 | if (hsneed.gt.0) then ! air conditioning is cooling |
|---|
| 2041 | ! and the heat is pumped out into the atmosphere |
|---|
| 2042 | hsout=(1/cop)*(abs(hsneed)+abs(hlneed))+hsneed |
|---|
| 2043 | hlout=hlneed |
|---|
| 2044 | consump=(1./cop)*(abs(hsneed)+abs(hlneed)) |
|---|
| 2045 | !! hsout=0. |
|---|
| 2046 | !! hlout=0. |
|---|
| 2047 | |
|---|
| 2048 | else if(hsneed.eq.0.) then !air conditioning is not working to regulate the indoor temperature |
|---|
| 2049 | hlneed=0. !no humidity regulation is considered |
|---|
| 2050 | hsout=0. !no output into the atmosphere (sensible heat) |
|---|
| 2051 | hlout=0. !no output into the atmosphere (latent heat) |
|---|
| 2052 | consump=0. !no electrical consumption |
|---|
| 2053 | |
|---|
| 2054 | else !! hsneed < 0. !air conditioning is heating |
|---|
| 2055 | hlneed=0. !no humidity regulation is considered |
|---|
| 2056 | hlout=0. !no output into the atmosphere (latent heat) |
|---|
| 2057 | consump=(1./cop)*(abs(hsneed)+abs(hlneed)) |
|---|
| 2058 | ! |
|---|
| 2059 | !!We have two possibilities |
|---|
| 2060 | ! |
|---|
| 2061 | !! hsout=(1./cop)*(abs(hsneed)+abs(hlneed)) !output into the atmosphere |
|---|
| 2062 | hsout=0. !no output into the atmosphere |
|---|
| 2063 | end if |
|---|
| 2064 | |
|---|
| 2065 | return |
|---|
| 2066 | end subroutine air_cond |
|---|
| 2067 | |
|---|
| 2068 | !====6=8==============================================================72 |
|---|
| 2069 | !====6=8==============================================================72 |
|---|
| 2070 | |
|---|
| 2071 | subroutine consump_total(nzcanm,nlev,consumpbuild,hsoutbuild, & |
|---|
| 2072 | hsout,consump) |
|---|
| 2073 | |
|---|
| 2074 | implicit none |
|---|
| 2075 | |
|---|
| 2076 | !----------------------------------------------------------------------- |
|---|
| 2077 | !Compute the total consumption in kWh/s (1kWh=3.6e+6 J) and sensible heat |
|---|
| 2078 | !ejected into the atmosphere per building |
|---|
| 2079 | !------------------------------------------------------------------------ |
|---|
| 2080 | ! |
|---|
| 2081 | !INPUT VARIABLES |
|---|
| 2082 | ! |
|---|
| 2083 | ! |
|---|
| 2084 | integer nzcanm !Maximum number of vertical levels in the urban grid |
|---|
| 2085 | real hsout(nzcanm) !sensible heat emitted outside the room [W] |
|---|
| 2086 | real consump(nzcanm) !Electricity consumption for the a.c. in each floor[W] |
|---|
| 2087 | ! |
|---|
| 2088 | !OUTPUT VARIABLES |
|---|
| 2089 | ! |
|---|
| 2090 | real consumpbuild !Energetic consumption for the entire building[kWh/s] |
|---|
| 2091 | real hsoutbuild !Total sensible heat ejected into the atmosphere |
|---|
| 2092 | !by the air conditioning systems per building [W] |
|---|
| 2093 | ! |
|---|
| 2094 | !LOCAL VARIABLES |
|---|
| 2095 | ! |
|---|
| 2096 | integer ilev |
|---|
| 2097 | |
|---|
| 2098 | ! |
|---|
| 2099 | !INPUT VARIABLES |
|---|
| 2100 | ! |
|---|
| 2101 | integer nlev |
|---|
| 2102 | |
|---|
| 2103 | ! |
|---|
| 2104 | !INITIALIZE VARIABLES |
|---|
| 2105 | ! |
|---|
| 2106 | consumpbuild=0. |
|---|
| 2107 | hsoutbuild=0. |
|---|
| 2108 | ! |
|---|
| 2109 | do ilev=1,nlev |
|---|
| 2110 | consumpbuild=consumpbuild+consump(ilev) |
|---|
| 2111 | hsoutbuild=hsoutbuild+hsout(ilev) |
|---|
| 2112 | enddo !ilev |
|---|
| 2113 | |
|---|
| 2114 | consumpbuild=consumpbuild/(3.6e+06) |
|---|
| 2115 | |
|---|
| 2116 | return |
|---|
| 2117 | end subroutine consump_total |
|---|
| 2118 | !====6=8==============================================================72 |
|---|
| 2119 | !====6=8==============================================================72 |
|---|
| 2120 | subroutine tridia(n,a,b,x) |
|---|
| 2121 | |
|---|
| 2122 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|---|
| 2123 | ! + by A. Clappier, EPFL, CH 1015 Lausanne + |
|---|
| 2124 | ! + phone: ++41-(0)21-693-61-60 + |
|---|
| 2125 | ! + email:alain.clappier@epfl.ch + |
|---|
| 2126 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|---|
| 2127 | |
|---|
| 2128 | ! ---------------------------------------------------------------------- |
|---|
| 2129 | ! Resolution of a * x = b where a is a tridiagonal matrix |
|---|
| 2130 | ! |
|---|
| 2131 | ! ---------------------------------------------------------------------- |
|---|
| 2132 | |
|---|
| 2133 | implicit none |
|---|
| 2134 | |
|---|
| 2135 | ! Input |
|---|
| 2136 | integer n |
|---|
| 2137 | real a(-1:1,n) ! a(-1,*) lower diagonal A(i,i-1) |
|---|
| 2138 | ! a(0,*) principal diagonal A(i,i) |
|---|
| 2139 | ! a(1,*) upper diagonal A(i,i+1) |
|---|
| 2140 | real b(n) |
|---|
| 2141 | |
|---|
| 2142 | ! Output |
|---|
| 2143 | real x(n) |
|---|
| 2144 | |
|---|
| 2145 | ! Local |
|---|
| 2146 | integer i |
|---|
| 2147 | |
|---|
| 2148 | ! ---------------------------------------------------------------------- |
|---|
| 2149 | |
|---|
| 2150 | do i=n-1,1,-1 |
|---|
| 2151 | b(i)=b(i)-a(1,i)*b(i+1)/a(0,i+1) |
|---|
| 2152 | a(0,i)=a(0,i)-a(1,i)*a(-1,i+1)/a(0,i+1) |
|---|
| 2153 | enddo |
|---|
| 2154 | |
|---|
| 2155 | do i=2,n |
|---|
| 2156 | b(i)=b(i)-a(-1,i)*b(i-1)/a(0,i-1) |
|---|
| 2157 | enddo |
|---|
| 2158 | |
|---|
| 2159 | do i=1,n |
|---|
| 2160 | x(i)=b(i)/a(0,i) |
|---|
| 2161 | enddo |
|---|
| 2162 | |
|---|
| 2163 | return |
|---|
| 2164 | end subroutine tridia |
|---|
| 2165 | !====6=8===============================================================72 |
|---|
| 2166 | !====6=8===============================================================72 |
|---|
| 2167 | |
|---|
| 2168 | subroutine gaussjbem(a,n,b,np) |
|---|
| 2169 | |
|---|
| 2170 | ! ---------------------------------------------------------------------- |
|---|
| 2171 | ! This routine solve a linear system of n equations of the form |
|---|
| 2172 | ! A X = B |
|---|
| 2173 | ! where A is a matrix a(i,j) |
|---|
| 2174 | ! B a vector and X the solution |
|---|
| 2175 | ! In output b is replaced by the solution |
|---|
| 2176 | ! ---------------------------------------------------------------------- |
|---|
| 2177 | |
|---|
| 2178 | implicit none |
|---|
| 2179 | |
|---|
| 2180 | ! ---------------------------------------------------------------------- |
|---|
| 2181 | ! INPUT: |
|---|
| 2182 | ! ---------------------------------------------------------------------- |
|---|
| 2183 | integer np |
|---|
| 2184 | real a(np,np) |
|---|
| 2185 | |
|---|
| 2186 | ! ---------------------------------------------------------------------- |
|---|
| 2187 | ! OUTPUT: |
|---|
| 2188 | ! ---------------------------------------------------------------------- |
|---|
| 2189 | real b(np) |
|---|
| 2190 | |
|---|
| 2191 | ! ---------------------------------------------------------------------- |
|---|
| 2192 | ! LOCAL: |
|---|
| 2193 | ! ---------------------------------------------------------------------- |
|---|
| 2194 | integer nmax |
|---|
| 2195 | parameter (nmax=150) |
|---|
| 2196 | |
|---|
| 2197 | real big,dum |
|---|
| 2198 | integer i,icol,irow |
|---|
| 2199 | integer j,k,l,ll,n |
|---|
| 2200 | integer ipiv(nmax) |
|---|
| 2201 | real pivinv |
|---|
| 2202 | |
|---|
| 2203 | ! ---------------------------------------------------------------------- |
|---|
| 2204 | ! END VARIABLES DEFINITIONS |
|---|
| 2205 | ! ---------------------------------------------------------------------- |
|---|
| 2206 | |
|---|
| 2207 | do j=1,n |
|---|
| 2208 | ipiv(j)=0. |
|---|
| 2209 | enddo |
|---|
| 2210 | |
|---|
| 2211 | do i=1,n |
|---|
| 2212 | big=0. |
|---|
| 2213 | do j=1,n |
|---|
| 2214 | if(ipiv(j).ne.1)then |
|---|
| 2215 | do k=1,n |
|---|
| 2216 | if(ipiv(k).eq.0)then |
|---|
| 2217 | if(abs(a(j,k)).ge.big)then |
|---|
| 2218 | big=abs(a(j,k)) |
|---|
| 2219 | irow=j |
|---|
| 2220 | icol=k |
|---|
| 2221 | endif |
|---|
| 2222 | elseif(ipiv(k).gt.1)then |
|---|
| 2223 | pause 'singular matrix in gaussjbem' |
|---|
| 2224 | endif |
|---|
| 2225 | enddo |
|---|
| 2226 | endif |
|---|
| 2227 | enddo |
|---|
| 2228 | |
|---|
| 2229 | ipiv(icol)=ipiv(icol)+1 |
|---|
| 2230 | |
|---|
| 2231 | if(irow.ne.icol)then |
|---|
| 2232 | do l=1,n |
|---|
| 2233 | dum=a(irow,l) |
|---|
| 2234 | a(irow,l)=a(icol,l) |
|---|
| 2235 | a(icol,l)=dum |
|---|
| 2236 | enddo |
|---|
| 2237 | |
|---|
| 2238 | dum=b(irow) |
|---|
| 2239 | b(irow)=b(icol) |
|---|
| 2240 | b(icol)=dum |
|---|
| 2241 | |
|---|
| 2242 | endif |
|---|
| 2243 | |
|---|
| 2244 | if(a(icol,icol).eq.0)pause 'singular matrix in gaussjbem' |
|---|
| 2245 | |
|---|
| 2246 | pivinv=1./a(icol,icol) |
|---|
| 2247 | a(icol,icol)=1 |
|---|
| 2248 | |
|---|
| 2249 | do l=1,n |
|---|
| 2250 | a(icol,l)=a(icol,l)*pivinv |
|---|
| 2251 | enddo |
|---|
| 2252 | |
|---|
| 2253 | b(icol)=b(icol)*pivinv |
|---|
| 2254 | |
|---|
| 2255 | do ll=1,n |
|---|
| 2256 | if(ll.ne.icol)then |
|---|
| 2257 | dum=a(ll,icol) |
|---|
| 2258 | a(ll,icol)=0. |
|---|
| 2259 | do l=1,n |
|---|
| 2260 | a(ll,l)=a(ll,l)-a(icol,l)*dum |
|---|
| 2261 | enddo |
|---|
| 2262 | |
|---|
| 2263 | b(ll)=b(ll)-b(icol)*dum |
|---|
| 2264 | |
|---|
| 2265 | endif |
|---|
| 2266 | enddo |
|---|
| 2267 | enddo |
|---|
| 2268 | |
|---|
| 2269 | return |
|---|
| 2270 | end subroutine gaussjbem |
|---|
| 2271 | |
|---|
| 2272 | !====6=8===============================================================72 |
|---|
| 2273 | !====6=8===============================================================72 |
|---|
| 2274 | |
|---|
| 2275 | subroutine radfluxs(radflux,alb,rs,em,rl,sigma,twal) |
|---|
| 2276 | |
|---|
| 2277 | implicit none |
|---|
| 2278 | !------------------------------------------------------------------- |
|---|
| 2279 | !This function calculates the radiative fluxe at a surface |
|---|
| 2280 | !------------------------------------------------------------------- |
|---|
| 2281 | |
|---|
| 2282 | |
|---|
| 2283 | real alb !albedo of the surface |
|---|
| 2284 | real rs !shor wave radiation |
|---|
| 2285 | real em !emissivity of the surface |
|---|
| 2286 | real rl !lon wave radiation |
|---|
| 2287 | real sigma !parameter (wall is not black body) [W/m2.K4] |
|---|
| 2288 | real twal !wall temperature [K] |
|---|
| 2289 | real radflux |
|---|
| 2290 | |
|---|
| 2291 | radflux=(1.-alb)*rs+em*rl-em*sigma*twal**4 |
|---|
| 2292 | |
|---|
| 2293 | return |
|---|
| 2294 | end subroutine radfluxs |
|---|
| 2295 | |
|---|
| 2296 | !====6=8==============================================================72 |
|---|
| 2297 | !====6=8==============================================================72 |
|---|
| 2298 | ! |
|---|
| 2299 | ! we define the view factors fprl and fnrm, which are the angle |
|---|
| 2300 | ! factors between two equal and parallel planes, fprl, and two |
|---|
| 2301 | ! equal and orthogonal planes, fnrm, respectively |
|---|
| 2302 | ! |
|---|
| 2303 | subroutine fprl_ints(fprl_int,vx,vy) |
|---|
| 2304 | |
|---|
| 2305 | implicit none |
|---|
| 2306 | |
|---|
| 2307 | real vx,vy |
|---|
| 2308 | real fprl_int |
|---|
| 2309 | |
|---|
| 2310 | fprl_int=(2./(3.141592653*vx*vy))* & |
|---|
| 2311 | (log(sqrt((1.+vx*vx)*(1.+vy*vy)/(1.+vx*vx+vy*vy)))+ & |
|---|
| 2312 | (vy*sqrt(1.+vx*vx)*atan(vy/sqrt(1.+vx*vx)))+ & |
|---|
| 2313 | (vx*sqrt(1.+vy*vy)*atan(vx/sqrt(1.+vy*vy)))- & |
|---|
| 2314 | vy*atan(vy)-vx*atan(vx)) |
|---|
| 2315 | |
|---|
| 2316 | return |
|---|
| 2317 | end subroutine fprl_ints |
|---|
| 2318 | |
|---|
| 2319 | !====6=8==============================================================72 |
|---|
| 2320 | !====6=8==============================================================72 |
|---|
| 2321 | ! |
|---|
| 2322 | ! we define the view factors fprl and fnrm, which are the angle |
|---|
| 2323 | ! factors between two equal and parallel planes, fprl, and two |
|---|
| 2324 | ! equal and orthogonal planes, fnrm, respectively |
|---|
| 2325 | ! |
|---|
| 2326 | |
|---|
| 2327 | subroutine fnrm_ints(fnrm_int,wx,wy,wz) |
|---|
| 2328 | |
|---|
| 2329 | implicit none |
|---|
| 2330 | |
|---|
| 2331 | real wx,wy,wz |
|---|
| 2332 | real fnrm_int |
|---|
| 2333 | |
|---|
| 2334 | fnrm_int=(1./(3.141592653*wy))*(wy*atan(1./wy)+wx*atan(1./wx)- & |
|---|
| 2335 | (sqrt(wz)*atan(1./sqrt(wz)))+ & |
|---|
| 2336 | (1./4.)*(log((1.+wx*wx)*(1.+wy*wy)/(1.+wz))+ & |
|---|
| 2337 | wy*wy*log(wy*wy*(1.+wz)/(wz*(1.+wy*wy)))+ & |
|---|
| 2338 | wx*wx*log(wx*wx*(1.+wz)/(wz*(1.+wx*wx))))) |
|---|
| 2339 | |
|---|
| 2340 | return |
|---|
| 2341 | end subroutine fnrm_ints |
|---|
| 2342 | |
|---|
| 2343 | !====6=8==============================================================72 |
|---|
| 2344 | !====6=8==============================================================72 |
|---|
| 2345 | END MODULE module_sf_bem |
|---|
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