| 1 | module sponge_mod |
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| 2 | |
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| 3 | implicit none |
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| 4 | |
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| 5 | ! sponge parameters (set/read via defrun_new.F) |
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| 6 | logical,save :: callsponge ! do we use a sponge on upper layers |
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| 7 | integer,save :: mode_sponge ! sponge mode |
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| 8 | integer,save :: nsponge ! number of sponge layers |
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| 9 | real,save :: tetasponge ! sponge time scale (s) at topmost layer |
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| 10 | |
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| 11 | |
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| 12 | contains |
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| 13 | |
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| 14 | subroutine sponge(ucov,vcov,h,pext,dt,mode) |
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| 15 | |
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| 16 | ! Sponge routine: Quench ucov, vcov and potential temperature near the |
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| 17 | ! top of the model |
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| 18 | ! Depending on 'mode' relaxation of variables is towards: |
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| 19 | ! mode = 0 : h -> h_mean , ucov -> 0 , vcov -> 0 |
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| 20 | ! mode = 1 : h -> h_mean , ucov -> ucov_mean , vcov -> 0 |
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| 21 | ! mode >= 2 : h -> h_mean , ucov -> ucov_mean , vcov -> vcov_mean |
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| 22 | ! Number of layer over which sponge is applied is 'nsponge' (read from def file) |
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| 23 | ! Time scale for quenching at top level is given by 'tetasponge' (read from |
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| 24 | ! def file) and doubles as level indexes decrease. |
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| 25 | ! Quenching is modeled as: A(t)=Am+A0exp(-lambda*t) |
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| 26 | ! where Am is the zonal average of the field (or zero), and lambda the inverse |
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| 27 | ! of the characteristic quenching/relaxation time scale |
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| 28 | ! Thus, assuming Am to be time-independent, field at time t+dt is given by: |
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| 29 | ! A(t+dt)=A(t)-(A(t)-Am)*(1-exp(-lambda*t)) |
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| 30 | |
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| 31 | |
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| 32 | implicit none |
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| 33 | #include "dimensions.h" |
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| 34 | #include "paramet.h" |
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| 35 | #include "comdissip.h" |
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| 36 | #include "comvert.h" |
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| 37 | #include "comgeom2.h" |
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| 38 | |
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| 39 | ! Arguments: |
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| 40 | !------------ |
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| 41 | real,intent(inout) :: ucov(iip1,jjp1,llm) ! covariant zonal wind |
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| 42 | real,intent(inout) :: vcov(iip1,jjm,llm) ! covariant meridional wind |
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| 43 | real,intent(inout) :: h(iip1,jjp1,llm) ! potential temperature |
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| 44 | real,intent(in) :: pext(iip1,jjp1) ! extensive pressure |
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| 45 | real,intent(in) :: dt ! time step |
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| 46 | integer,intent(in) :: mode ! sponge mode |
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| 47 | |
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| 48 | ! Local: |
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| 49 | ! ------ |
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| 50 | |
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| 51 | real,save :: sig_s(llm) !sigma au milieu des couches |
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| 52 | REAL vm,um,hm,ptot(jjp1) |
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| 53 | real,save :: cst(llm) |
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| 54 | |
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| 55 | INTEGER l,i,j |
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| 56 | integer,save :: l0 ! layer down to which sponge is applied |
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| 57 | |
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| 58 | real ssum |
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| 59 | |
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| 60 | real echelle,zkm |
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| 61 | logical,save :: firstcall=.true. |
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| 62 | |
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| 63 | |
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| 64 | |
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| 65 | if (firstcall) then |
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| 66 | |
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| 67 | ! build approximative sigma levels at midlayer |
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| 68 | do l=1,llm |
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| 69 | sig_s(l)=((ap(l)+ap(l+1))/preff+bp(l)+bp(l+1))/2. |
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| 70 | enddo |
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| 71 | |
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| 72 | l0=llm-nsponge+1 |
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| 73 | |
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| 74 | PRINT* |
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| 75 | print*,'sponge mode',mode |
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| 76 | print*,'nsponge tetasponge ',nsponge,tetasponge |
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| 77 | print*,'Coeffs for the sponge layer' |
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| 78 | print*,'Z (km) tau cst' |
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| 79 | do l=llm,l0,-1 |
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| 80 | ! double time scale with every level, starting from the top |
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| 81 | cst(l)=1.-exp(-dt/(tetasponge*2**(llm-l))) |
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| 82 | enddo |
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| 83 | |
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| 84 | echelle=10. |
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| 85 | do l=l0,llm |
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| 86 | zkm=-echelle*log(sig_s(l)) |
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| 87 | print*,zkm,tetasponge*2**(llm-l),cst(l) |
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| 88 | enddo |
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| 89 | PRINT* |
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| 90 | |
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| 91 | firstcall=.false. |
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| 92 | endif ! of if (firstcall) |
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| 93 | |
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| 94 | !----------------------------------------------------------------------- |
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| 95 | ! compute sponge relaxation: |
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| 96 | ! ------------------------- |
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| 97 | |
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| 98 | do j=1,jjp1 |
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| 99 | ptot(j)=ssum(iim,pext(1,j),1) |
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| 100 | enddo |
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| 101 | |
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| 102 | ! potential temperature |
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| 103 | do l=l0,llm |
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| 104 | do j=1,jjp1 |
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| 105 | ! compute zonal average |
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| 106 | hm=0. |
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| 107 | do i=1,iim |
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| 108 | hm=hm+h(i,j,l)*pext(i,j) |
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| 109 | enddo |
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| 110 | hm=hm/ptot(j) |
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| 111 | ! update h() |
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| 112 | do i=1,iim |
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| 113 | h(i,j,l)=h(i,j,l)-cst(l)*(h(i,j,l)-hm) |
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| 114 | enddo |
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| 115 | h(iip1,j,l)=h(1,j,l) |
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| 116 | enddo |
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| 117 | enddo |
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| 118 | |
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| 119 | ! zonal wind |
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| 120 | do l=l0,llm |
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| 121 | do j=2,jjm |
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| 122 | um=0. |
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| 123 | if(mode.ge.1) then ! compute zonal average |
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| 124 | do i=1,iim |
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| 125 | um=um+0.5*ucov(i,j,l)*(pext(i,j)+pext(i+1,j))/cu(i,j) |
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| 126 | enddo |
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| 127 | um=um/ptot(j) |
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| 128 | endif |
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| 129 | ! update ucov() |
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| 130 | do i=1,iim |
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| 131 | ucov(i,j,l)=ucov(i,j,l)-cst(l)*(ucov(i,j,l)-um*cu(i,j)) |
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| 132 | enddo |
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| 133 | ucov(iip1,j,l)=ucov(1,j,l) |
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| 134 | enddo |
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| 135 | enddo |
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| 136 | |
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| 137 | ! meridional wind |
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| 138 | do l=l0,llm |
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| 139 | do j=1,jjm |
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| 140 | vm=0. |
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| 141 | if(mode.ge.2) then ! compute zonal average |
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| 142 | do i=1,iim |
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| 143 | vm=vm+vcov(i,j,l)*(pext(i,j)+pext(i,j+1))/cv(i,j) |
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| 144 | enddo |
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| 145 | vm=vm/(ptot(j)+ptot(j+1)) |
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| 146 | endif |
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| 147 | ! update vcov |
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| 148 | do i=1,iim |
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| 149 | vcov(i,j,l)=vcov(i,j,l)-cst(l)*(vcov(i,j,l)-vm*cv(i,j)) |
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| 150 | enddo |
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| 151 | vcov(iip1,j,l)=vcov(1,j,l) |
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| 152 | enddo |
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| 153 | enddo |
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| 154 | |
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| 155 | end subroutine sponge |
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| 156 | |
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| 157 | end module sponge_mod |
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