SUBROUTINE SINT(XF, & ims, ime, jms, jme, icmask , & its, ite, jts, jte, nf, xstag, ystag ) IMPLICIT NONE INTEGER ims, ime, jms, jme, & its, ite, jts, jte LOGICAL icmask( ims:ime, jms:jme ) LOGICAL xstag, ystag INTEGER nf, ior REAL one12, one24, ep PARAMETER(one12=1./12.,one24=1./24.) PARAMETER(ior=2) ! REAL XF(ims:ime,jms:jme,NF) ! REAL Y(ims:ime,jms:jme,-IOR:IOR), & Z(ims:ime,jms:jme,-IOR:IOR), & F(ims:ime,jms:jme,0:1) ! INTEGER I,J,II,JJ,IIM INTEGER N2STAR, N2END, N1STAR, N1END ! DATA EP/ 1.E-10/ REAL W(ims:ime,jms:jme),OV(ims:ime,jms:jme),UN(ims:ime,jms:jme) REAL MXM(ims:ime,jms:jme),MN(ims:ime,jms:jme) REAL FL(ims:ime,jms:jme,0:1) REAL XIG(NF*NF), XJG(NF*NF) ! NF is parent to child grid refinement ratio integer rr REAL rioff, rjoff ! REAL donor, y1, y2, a DONOR(Y1,Y2,A)=(Y1*AMAX1(0.,SIGN(1.,A))-Y2*AMIN1(0.,SIGN(1.,A)))*A REAL tr4, ym1, y0, yp1, yp2 TR4(YM1,Y0,YP1,YP2,A)=A*ONE12*(7.*(YP1+Y0)-(YP2+YM1)) & -A*A*ONE24*(15.*(YP1-Y0)-(YP2-YM1))-A*A*A*ONE12*((YP1+Y0) & -(YP2+YM1))+A*A*A*A*ONE24*(3.*(YP1-Y0)-(YP2-YM1)) REAL pp, pn, x PP(X)=AMAX1(0.,X) PN(X)=AMIN1(0.,X) rr = nint(sqrt(float(nf))) !! write(6,*) ' nf, rr are ',nf,rr rioff = 0 rjoff = 0 if(xstag .and. (mod(rr,2) .eq. 0)) rioff = 1. if(ystag .and. (mod(rr,2) .eq. 0)) rjoff = 1. DO I=1,rr DO J=1,rr XIG(J+(I-1)*rr)=(float(rr)-1.-rioff)/float(2*rr)-FLOAT(J-1)*1./float(rr) XJG(J+(I-1)*rr)=(float(rr)-1.-rjoff)/float(2*rr)-FLOAT(I-1)*1./float(rr) ENDDO ENDDO N2STAR = jts N2END = jte N1STAR = its N1END = ite DO 2000 IIM=1,NF ! ! HERE STARTS RESIDUAL ADVECTION ! DO 9000 JJ=N2STAR,N2END DO 50 J=-IOR,IOR DO 51 I=-IOR,IOR DO 511 II=N1STAR,N1END IF ( icmask(II,JJ) ) Y(II,JJ,I)=XF(II+I,JJ+J,IIM) 511 CONTINUE 51 CONTINUE DO 811 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN FL(II,JJ,0)=DONOR(Y(II,JJ,-1),Y(II,JJ,0),XIG(IIM)) FL(II,JJ,1)=DONOR(Y(II,JJ,0),Y(II,JJ,1),XIG(IIM)) ENDIF 811 CONTINUE DO 812 II=N1STAR,N1END IF ( icmask(II,JJ) ) W(II,JJ)=Y(II,JJ,0)-(FL(II,JJ,1)-FL(II,JJ,0)) 812 CONTINUE DO 813 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN MXM(II,JJ)= & AMAX1(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1), & W(II,JJ)) MN(II,JJ)=AMIN1(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1),W(II,JJ)) ENDIF 813 CONTINUE DO 312 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)= & TR4(Y(II,JJ,-2),Y(II,JJ,-1),Y(II,JJ,0), & Y(II,JJ,1),XIG(IIM)) F(II,JJ,1)= & TR4(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1),Y(II,JJ,2),& XIG(IIM)) ENDIF 312 CONTINUE DO 822 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)=F(II,JJ,0)-FL(II,JJ,0) F(II,JJ,1)=F(II,JJ,1)-FL(II,JJ,1) ENDIF 822 CONTINUE DO 823 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN OV(II,JJ)=(MXM(II,JJ)-W(II,JJ))/(-PN(F(II,JJ,1))+ & PP(F(II,JJ,0))+EP) UN(II,JJ)=(W(II,JJ)-MN(II,JJ))/(PP(F(II,JJ,1))- & PN(F(II,JJ,0))+EP) ENDIF 823 CONTINUE DO 824 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)=PP(F(II,JJ,0))*AMIN1(1.,OV(II,JJ))+ & PN(F(II,JJ,0))*AMIN1(1.,UN(II,JJ)) F(II,JJ,1)=PP(F(II,JJ,1))*AMIN1(1.,UN(II,JJ))+ & PN(F(II,JJ,1))*AMIN1(1.,OV(II,JJ)) ENDIF 824 CONTINUE DO 825 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN Y(II,JJ,0)=W(II,JJ)-(F(II,JJ,1)-F(II,JJ,0)) ENDIF 825 CONTINUE DO 361 II=N1STAR,N1END IF ( icmask(II,JJ) ) Z(II,JJ,J)=Y(II,JJ,0) 361 CONTINUE ! ! END IF FIRST J LOOP ! 8000 CONTINUE 50 CONTINUE DO 911 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN FL(II,JJ,0)=DONOR(Z(II,JJ,-1),Z(II,JJ,0),XJG(IIM)) FL(II,JJ,1)=DONOR(Z(II,JJ,0),Z(II,JJ,1),XJG(IIM)) ENDIF 911 CONTINUE DO 912 II=N1STAR,N1END IF ( icmask(II,JJ) ) W(II,JJ)=Z(II,JJ,0)-(FL(II,JJ,1)-FL(II,JJ,0)) 912 CONTINUE DO 913 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN MXM(II,JJ)=AMAX1(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),W(II,JJ)) MN(II,JJ)=AMIN1(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),W(II,JJ)) ENDIF 913 CONTINUE DO 412 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)= & TR4(Z(II,JJ,-2),Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1)& ,XJG(IIM)) F(II,JJ,1)= & TR4(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),Z(II,JJ,2), & XJG(IIM)) ENDIF 412 CONTINUE DO 922 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)=F(II,JJ,0)-FL(II,JJ,0) F(II,JJ,1)=F(II,JJ,1)-FL(II,JJ,1) ENDIF 922 CONTINUE DO 923 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN OV(II,JJ)=(MXM(II,JJ)-W(II,JJ))/(-PN(F(II,JJ,1))+ & PP(F(II,JJ,0))+EP) UN(II,JJ)=(W(II,JJ)-MN(II,JJ))/(PP(F(II,JJ,1))-PN(F(II,JJ,0))+ & EP) ENDIF 923 CONTINUE DO 924 II=N1STAR,N1END IF ( icmask(II,JJ) ) THEN F(II,JJ,0)=PP(F(II,JJ,0))*AMIN1(1.,OV(II,JJ))+PN(F(II,JJ,0)) & *AMIN1(1.,UN(II,JJ)) F(II,JJ,1)=PP(F(II,JJ,1))*AMIN1(1.,UN(II,JJ))+PN(F(II,JJ,1)) & *AMIN1(1.,OV(II,JJ)) ENDIF 924 CONTINUE 9000 CONTINUE DO 925 JJ=N2STAR,N2END DO 925 II=N1STAR,N1END IF ( icmask(II,JJ) ) XF(II,JJ,IIM)=W(II,JJ)-(F(II,JJ,1)-F(II,JJ,0)) 925 CONTINUE ! 2000 CONTINUE RETURN END ! Version of sint that replaces mask with detailed ranges for avoiding boundaries ! may help performance by getting the conditionals out of innner loops SUBROUTINE SINTB(XF1, XF , & ims, ime, jms, jme, icmask , & its, ite, jts, jte, nf, xstag, ystag ) IMPLICIT NONE INTEGER ims, ime, jms, jme, & its, ite, jts, jte LOGICAL icmask( ims:ime, jms:jme ) LOGICAL xstag, ystag INTEGER nf, ior REAL one12, one24, ep PARAMETER(one12=1./12.,one24=1./24.) PARAMETER(ior=2) ! REAL XF(ims:ime,jms:jme,NF) REAL XF1(ims:ime,jms:jme,NF) ! REAL Y(ims:ime,jms:jme,-IOR:IOR), & Z(ims:ime,jms:jme,-IOR:IOR), & F(ims:ime,jms:jme,0:1) ! INTEGER I,J,II,JJ,IIM INTEGER N2STAR, N2END, N1STAR, N1END ! DATA EP/ 1.E-10/ ! ! PARAMETER(NONOS=1) ! PARAMETER(N1OS=N1*NONOS+1-NONOS,N2OS=N2*NONOS+1-NONOS) ! REAL W(ims:ime,jms:jme),OV(ims:ime,jms:jme),UN(ims:ime,jms:jme) REAL MXM(ims:ime,jms:jme),MN(ims:ime,jms:jme) REAL FL(ims:ime,jms:jme,0:1) REAL XIG(NF*NF), XJG(NF*NF) ! NF is the parent to child grid refinement ratio integer rr REAL rioff, rjoff ! REAL donor, y1, y2, a DONOR(Y1,Y2,A)=(Y1*AMAX1(0.,SIGN(1.,A))-Y2*AMIN1(0.,SIGN(1.,A)))*A REAL tr4, ym1, y0, yp1, yp2 TR4(YM1,Y0,YP1,YP2,A)=A*ONE12*(7.*(YP1+Y0)-(YP2+YM1)) & -A*A*ONE24*(15.*(YP1-Y0)-(YP2-YM1))-A*A*A*ONE12*((YP1+Y0) & -(YP2+YM1))+A*A*A*A*ONE24*(3.*(YP1-Y0)-(YP2-YM1)) REAL pp, pn, x PP(X)=AMAX1(0.,X) PN(X)=AMIN1(0.,X) rr = nint(sqrt(float(nf))) rioff = 0 rjoff = 0 if(xstag .and. (mod(rr,2) .eq. 0)) rioff = 1. if(ystag .and. (mod(rr,2) .eq. 0)) rjoff = 1. DO I=1,rr DO J=1,rr XIG(J+(I-1)*rr)=(float(rr)-1.-rioff)/float(2*rr)-FLOAT(J-1)*1./float(rr) XJG(J+(I-1)*rr)=(float(rr)-1.-rjoff)/float(2*rr)-FLOAT(I-1)*1./float(rr) ENDDO ENDDO N2STAR = jts N2END = jte N1STAR = its N1END = ite DO 2000 IIM=1,NF ! ! HERE STARTS RESIDUAL ADVECTION ! DO 9000 JJ=N2STAR,N2END !cdir unroll=5 DO 50 J=-IOR,IOR !cdir unroll=5 DO 51 I=-IOR,IOR DO 511 II=N1STAR,N1END Y(II,JJ,I)=XF1(II+I,JJ+J,IIM) 511 CONTINUE 51 CONTINUE DO 811 II=N1STAR,N1END FL(II,JJ,0)=DONOR(Y(II,JJ,-1),Y(II,JJ,0),XIG(IIM)) FL(II,JJ,1)=DONOR(Y(II,JJ,0),Y(II,JJ,1),XIG(IIM)) 811 CONTINUE DO 812 II=N1STAR,N1END W(II,JJ)=Y(II,JJ,0)-(FL(II,JJ,1)-FL(II,JJ,0)) 812 CONTINUE DO 813 II=N1STAR,N1END MXM(II,JJ)= & AMAX1(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1), & W(II,JJ)) MN(II,JJ)=AMIN1(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1),W(II,JJ)) 813 CONTINUE DO 312 II=N1STAR,N1END F(II,JJ,0)= & TR4(Y(II,JJ,-2),Y(II,JJ,-1),Y(II,JJ,0), & Y(II,JJ,1),XIG(IIM)) F(II,JJ,1)= & TR4(Y(II,JJ,-1),Y(II,JJ,0),Y(II,JJ,1),Y(II,JJ,2),& XIG(IIM)) 312 CONTINUE DO 822 II=N1STAR,N1END F(II,JJ,0)=F(II,JJ,0)-FL(II,JJ,0) F(II,JJ,1)=F(II,JJ,1)-FL(II,JJ,1) 822 CONTINUE DO 823 II=N1STAR,N1END OV(II,JJ)=(MXM(II,JJ)-W(II,JJ))/(-PN(F(II,JJ,1))+ & PP(F(II,JJ,0))+EP) UN(II,JJ)=(W(II,JJ)-MN(II,JJ))/(PP(F(II,JJ,1))- & PN(F(II,JJ,0))+EP) 823 CONTINUE DO 824 II=N1STAR,N1END F(II,JJ,0)=PP(F(II,JJ,0))*AMIN1(1.,OV(II,JJ))+ & PN(F(II,JJ,0))*AMIN1(1.,UN(II,JJ)) F(II,JJ,1)=PP(F(II,JJ,1))*AMIN1(1.,UN(II,JJ))+ & PN(F(II,JJ,1))*AMIN1(1.,OV(II,JJ)) 824 CONTINUE DO 825 II=N1STAR,N1END Y(II,JJ,0)=W(II,JJ)-(F(II,JJ,1)-F(II,JJ,0)) 825 CONTINUE DO 361 II=N1STAR,N1END Z(II,JJ,J)=Y(II,JJ,0) 361 CONTINUE ! ! END IF FIRST J LOOP ! 8000 CONTINUE 50 CONTINUE DO 911 II=N1STAR,N1END FL(II,JJ,0)=DONOR(Z(II,JJ,-1),Z(II,JJ,0),XJG(IIM)) FL(II,JJ,1)=DONOR(Z(II,JJ,0),Z(II,JJ,1),XJG(IIM)) 911 CONTINUE DO 912 II=N1STAR,N1END W(II,JJ)=Z(II,JJ,0)-(FL(II,JJ,1)-FL(II,JJ,0)) 912 CONTINUE DO 913 II=N1STAR,N1END MXM(II,JJ)=AMAX1(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),W(II,JJ)) MN(II,JJ)=AMIN1(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),W(II,JJ)) 913 CONTINUE DO 412 II=N1STAR,N1END F(II,JJ,0)= & TR4(Z(II,JJ,-2),Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1)& ,XJG(IIM)) F(II,JJ,1)= & TR4(Z(II,JJ,-1),Z(II,JJ,0),Z(II,JJ,1),Z(II,JJ,2), & XJG(IIM)) 412 CONTINUE DO 922 II=N1STAR,N1END F(II,JJ,0)=F(II,JJ,0)-FL(II,JJ,0) F(II,JJ,1)=F(II,JJ,1)-FL(II,JJ,1) 922 CONTINUE DO 923 II=N1STAR,N1END OV(II,JJ)=(MXM(II,JJ)-W(II,JJ))/(-PN(F(II,JJ,1))+ & PP(F(II,JJ,0))+EP) UN(II,JJ)=(W(II,JJ)-MN(II,JJ))/(PP(F(II,JJ,1))-PN(F(II,JJ,0))+ & EP) 923 CONTINUE DO 924 II=N1STAR,N1END F(II,JJ,0)=PP(F(II,JJ,0))*AMIN1(1.,OV(II,JJ))+PN(F(II,JJ,0)) & *AMIN1(1.,UN(II,JJ)) F(II,JJ,1)=PP(F(II,JJ,1))*AMIN1(1.,UN(II,JJ))+PN(F(II,JJ,1)) & *AMIN1(1.,OV(II,JJ)) 924 CONTINUE 9000 CONTINUE DO 925 JJ=N2STAR,N2END DO 925 II=N1STAR,N1END XF(II,JJ,IIM)=W(II,JJ)-(F(II,JJ,1)-F(II,JJ,0)) 925 CONTINUE ! 2000 CONTINUE RETURN END