C&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& SUBROUTINE HDIFF C ****************************************************************** C$$$ SUBPROGRAM DOCUMENTATION BLOCK C . . . C SUBPROGRAM: HDIFF HORIZONTAL DIFFUSION C PRGRMMR: JANJIC ORG: W/NP22 DATE: 93-11-17 C C ABSTRACT: C HDIFF CALCULATES THE CONTRIBUTION OF THE HORIZONTAL DIFFUSION C TO THE TENDENCIES OF TEMPERATURE, SPECIFIC HUMIDITY, WIND C COMPONENTS, AND TURBULENT KINETIC ENERGY AND THEN UPDATES THOSE C VARIABLES. A SECOND-ORDER NONLINEAR SCHEME SIMILAR TO C SMAGORINSKY'S IS USED WHERE THE DIFFUSION COEFFICIENT IS ' C A FUNCTION OF THE DEFORMATION FIELD AND OF THE TURBULENT C KINETIC ENERGY. C C PROGRAM HISTORY LOG: C 87-06-?? JANJIC - ORIGINATOR C 95-03-25 BLACK - CONVERSION FROM 1-D TO 2-D IN HORIZONTAL C 96-03-28 BLACK - ADDED EXTERNAL EDGE C 98-10-30 BLACK - MODIFIED FOR DISTRIBUTED MEMORY C C USAGE: CALL HDIFF FROM MAIN PROGRAM EBU C C INPUT ARGUMENT LIST: C NONE C C OUTPUT ARGUMENT LIST: C NONE C C OUTPUT FILES: C NONE C C SUBPROGRAMS CALLED: C C UNIQUE: NONE C C LIBRARY: NONE C C COMMON BLOCKS: CTLBLK C MASKS C PHYS C VRBLS C PVRBLS C INDX C C ATTRIBUTES: C LANGUAGE: FORTRAN 90 C MACHINE : IBM SP C$$$ C ****************************************************************** P A R A M E T E R & (DEFC=8.0,DEFM=32.0,SCQ2=50.0 &, EPSQ2=0.2,FCDIF=1.0,RFCP=.25/1004.6) C---------------------------------------------------------------------- INCLUDE "parmeta" INCLUDE "parm.tbl" INCLUDE "mpp.h" #include "sp.h" C---------------------------------------------------------------------- P A R A M E T E R & (IMJM=IM*JM-JM/2,LP1=LM+1,KSMUD=1) C----------------------------------------------------------------------- L O G I C A L & RUN,FIRST,RESTRT,SIGMA &,SECOND,HEAT,STTDF C---------------------------------------------------------------------- INCLUDE "CTLBLK.comm" C----------------------------------------------------------------------- INCLUDE "MASKS.comm" C----------------------------------------------------------------------- INCLUDE "PHYS.comm" C----------------------------------------------------------------------- INCLUDE "VRBLS.comm" C----------------------------------------------------------------------- INCLUDE "PVRBLS.comm" INCLUDE "CLDWTR.comm" C----------------------------------------------------------------------- INCLUDE "INDX.comm" C----------------------------------------------------------------------- D I M E N S I O N & Q2L (IDIM1:IDIM2,JDIM1:JDIM2),UT (IDIM1:IDIM2,JDIM1:JDIM2) &,HKNE (IDIM1:IDIM2,JDIM1:JDIM2),HKSE (IDIM1:IDIM2,JDIM1:JDIM2) &,VKNE (IDIM1:IDIM2,JDIM1:JDIM2),VKSE (IDIM1:IDIM2,JDIM1:JDIM2) C D I M E N S I O N & TNE (IDIM1:IDIM2,JDIM1:JDIM2),TSE (IDIM1:IDIM2,JDIM1:JDIM2) &,QNE (IDIM1:IDIM2,JDIM1:JDIM2),QSE (IDIM1:IDIM2,JDIM1:JDIM2) &,Q2NE (IDIM1:IDIM2,JDIM1:JDIM2),Q2SE (IDIM1:IDIM2,JDIM1:JDIM2) &,UNE (IDIM1:IDIM2,JDIM1:JDIM2),USE (IDIM1:IDIM2,JDIM1:JDIM2) &,VNE (IDIM1:IDIM2,JDIM1:JDIM2),VSE (IDIM1:IDIM2,JDIM1:JDIM2) &,TDIF (IDIM1:IDIM2,JDIM1:JDIM2),QDIF (IDIM1:IDIM2,JDIM1:JDIM2) &,UDIF (IDIM1:IDIM2,JDIM1:JDIM2),VDIF (IDIM1:IDIM2,JDIM1:JDIM2) &,Q2DIF(IDIM1:IDIM2,JDIM1:JDIM2) &,DEF (IDIM1:IDIM2,JDIM1:JDIM2),CKE (IDIM1:IDIM2,JDIM1:JDIM2) C----------------------------------------------------------------------- C*** C*** DIFFUSING Q2 AT GROUND LEVEL DOESN'T MATTER, USTAR2 IS RECALCULATED ' C*** C----------------------------------------------------------------------- SECOND=.TRUE. HEAT=.FALSE. C----------------------------------------------------------------------- DO 600 KS=1,KSMUD C--------------MAIN VERTICAL INTEGRATION LOOP--------------------------- !$omp parallel do !$omp& private(cke,def,defsk,deftk,hkne,hkse,q2dif,q2l,q2ne,q2se,qdif, !$omp& qne,qse,tdif,tne,tse,udif,une,use,utk,vdif,vkne,vkse, !$omp& vne,vse,vtk) C----------------------------------------------------------------------- DO 500 L=1,LM C CALL ZERO2(DEF) CALL ZERO2(Q2NE) CALL ZERO2(Q2SE) CALL ZERO2(QNE) CALL ZERO2(QSE) CALL ZERO2(TNE) CALL ZERO2(TSE) CALL ZERO2(UNE) CALL ZERO2(USE) CALL ZERO2(VSE) CALL ZERO2(VNE) CALL ZERO2(VSE) CALL ZERO2(TDIF) CALL ZERO2(QDIF) CALL ZERO2(UDIF) CALL ZERO2(VDIF) CALL ZERO2(Q2DIF) C----------------------------------------------------------------------- DO 210 J=MYJS_P1,MYJE_P1 DO 210 I=MYIS_P1,MYIE_P1 Q2L(I,J)=AMAX1(Q2(I,J,L),EPSQ2) 210 CONTINUE C--------------DEFORMATIONS--------------------------------------------- DO 220 J=MYJS1_P1,MYJE1_P1 DO 220 I=MYIS_P1,MYIE1_P1 DEFTK =U(I+IHE(J),J,L)-U(I+IHW(J),J,L)-V(I,J+1,L)+V(I,J-1,L) DEFSK =U(I,J+1,L)-U(I,J-1,L)+V(I+IHE(J),J,L)-V(I+IHW(J),J,L) DEF (I,J)=DEFTK *DEFTK +DEFSK *DEFSK +SCQ2*Q2L(I,J) DEF (I,J)=SQRT(DEF(I,J)+DEF(I,J))*HBM2(I,J) DEF(I,J)=AMAX1(DEF(I,J),DEFC) c DEF(I,J)=AMIN1(DEF(I,J),DEFM) 220 CONTINUE C--------------T,Q, Q2 DIAGONAL CONTRIBUTIONS--------------------------- DO 250 J=MYJS_P1,MYJE1_P1 DO 250 I=MYIS_P1,MYIE1_P1 HKNE(I,J)=(DEF(I,J)+DEF(I+IHE(J),J+1)) 1 *HTM(I,J,L)*HTM(I+IHE(J),J+1,L) TNE (I,J)=(T (I+IHE(J),J+1,L)-T (I,J,L))*HKNE(I,J) QNE (I,J)=(Q (I+IHE(J),J+1,L)-Q (I,J,L))*HKNE(I,J) Q2NE(I,J)=(Q2(I+IHE(J),J+1,L)-Q2(I,J,L))*HKNE(I,J) 250 CONTINUE C DO 260 J=MYJS1_P1,MYJE_P1 DO 260 I=MYIS_P1,MYIE1_P1 HKSE(I,J)=(DEF(I+IHE(J),J-1)+DEF(I,J)) 1 *HTM(I+IHE(J),J-1,L)*HTM(I,J,L) TSE (I,J)=(T (I+IHE(J),J-1,L)-T (I,J,L))*HKSE(I,J) QSE (I,J)=(Q (I+IHE(J),J-1,L)-Q (I,J,L))*HKSE(I,J) Q2SE(I,J)=(Q2(I+IHE(J),J-1,L)-Q2(I,J,L))*HKSE(I,J) 260 CONTINUE C----------------------------------------------------------------------- DO 270 J=MYJS1,MYJE1 DO 270 I=MYIS1,MYIE TDIF (I,J)=(TNE (I,J)-TNE (I+IHW(J),J-1) 1 +TSE (I,J)-TSE (I+IHW(J),J+1))*HDAC(I,J) QDIF (I,J)=(QNE (I,J)-QNE (I+IHW(J),J-1) 1 +QSE (I,J)-QSE (I+IHW(J),J+1))*HDAC(I,J)*FCDIF Q2DIF(I,J)=(Q2NE(I,J)-Q2NE(I+IHW(J),J-1) 1 +Q2SE(I,J)-Q2SE(I+IHW(J),J+1))*HDAC(I,J) 270 CONTINUE C--------------2-ND ORDER DIFFUSION------------------------------------- IF(SECOND)THEN DO 280 J=MYJS2,MYJE2 DO 280 I=MYIS1,MYIE1 T (I,J,L)=T (I,J,L)+TDIF (I,J) Q (I,J,L)=Q (I,J,L)+QDIF (I,J) 280 CONTINUE C C----------------------------------------------------------------------- C IF(L.NE.LM)THEN DO 290 J=MYJS2,MYJE2 DO 290 I=MYIS1,MYIE1 Q2(I,J,L)=Q2(I,J,L)+Q2DIF(I,J) 290 CONTINUE C ENDIF C GO TO 360 ENDIF C--------------4-TH ORDER DIAGONAL CONTRIBUTIONS------------------------ DO 310 J=MYJS,MYJE1 DO 310 I=MYIS,MYIE1 TNE (I,J)=(TDIF (I+IHE(J),J+1)-TDIF (I,J))*HKNE(I,J) QNE (I,J)=(QDIF (I+IHE(J),J+1)-QDIF (I,J))*HKNE(I,J) Q2NE(I,J)=(Q2DIF(I+IHE(J),J+1)-Q2DIF(I,J))*HKNE(I,J) 310 CONTINUE C DO 320 J=MYJS1,MYJE DO 320 I=MYIS,MYIE1 TSE (I,J)=(TDIF (I+IHE(J),J-1)-TDIF (I,J))*HKSE(I,J) QSE (I,J)=(QDIF (I+IHE(J),J-1)-QDIF (I,J))*HKSE(I,J) Q2SE(I,J)=(Q2DIF(I+IHE(J),J-1)-Q2DIF(I,J))*HKSE(I,J) 320 CONTINUE C----------------------------------------------------------------------- DO 330 J=MYJS2,MYJE2 DO 330 I=MYIS1,MYIE1 T(I,J,L)=T(I,J,L)-(TNE (I,J)-TNE (I+IHW(J),J-1) 1 +TSE (I,J)-TSE (I+IHW(J),J+1))*HDAC(I,J) Q(I,J,L)=Q(I,J,L)-(QNE (I,J)-QNE (I+IHW(J),J-1) 1 +QSE (I,J)-QSE (I+IHW(J),J+1))*HDAC(I,J) 2 *FCDIF 330 CONTINUE C C----------------------------------------------------------------------- C IF(L.NE.LM)THEN DO 340 J=MYJS2,MYJE2 DO 340 I=MYIS1,MYIE1 Q2(I,J,L)=Q2(I,J,L)-(Q2NE(I,J)-Q2NE(I+IHW(J),J-1) 1 +Q2SE(I,J)-Q2SE(I+IHW(J),J+1))*HDAC(I,J) 340 CONTINUE C ENDIF C--------------U,V, DIAGONAL CONTRIBUTIONS------------------------------ 360 DO 410 J=MYJS_P1,MYJE1_P1 DO 410 I=MYIS_P1,MYIE1_P1 VKNE(I,J)=(DEF(I+IVE(J),J)+DEF(I,J+1)) 1 *VTM(I,J,L)*VTM(I+IVE(J),J+1,L) UNE(I,J)=(U(I+IVE(J),J+1,L)-U(I,J,L))*VKNE(I,J) VNE(I,J)=(V(I+IVE(J),J+1,L)-V(I,J,L))*VKNE(I,J) 410 CONTINUE C DO 420 J=MYJS1_P1,MYJE_P1 DO 420 I=MYIS_P1,MYIE1_P1 VKSE(I,J)=(DEF(I,J-1)+DEF(I+IVE(J),J)) 1 *VTM(I+IVE(J),J-1,L)*VTM(I,J,L) USE(I,J)=(U(I+IVE(J),J-1,L)-U(I,J,L))*VKSE(I,J) VSE(I,J)=(V(I+IVE(J),J-1,L)-V(I,J,L))*VKSE(I,J) 420 CONTINUE C----------------------------------------------------------------------- DO 430 J=MYJS1,MYJE1 DO 430 I=MYIS,MYIE1 UDIF(I,J)=(UNE(I,J)-UNE(I+IVW(J),J-1) 1 +USE(I,J)-USE(I+IVW(J),J+1))*HDACV(I,J) VDIF(I,J)=(VNE(I,J)-VNE(I+IVW(J),J-1) 1 +VSE(I,J)-VSE(I+IVW(J),J+1))*HDACV(I,J) 430 CONTINUE C--------------2-ND ORDER DIFFUSION------------------------------------- IF(SECOND)THEN DO 440 J=MYJS2,MYJE2 DO 440 I=MYIS1,MYIE1 U(I,J,L)=U(I,J,L)+UDIF(I,J) V(I,J,L)=V(I,J,L)+VDIF(I,J) 440 CONTINUE ELSE c GO TO 500 c ENDIF C--------------4-TH ORDER DIAGONAL CONTRIBUTIONS------------------------ DO 450 J=MYJS,MYJE1 DO 450 I=MYIS,MYIE1 UNE(I,J)=(UDIF(I+IVE(J),J+1)-UDIF(I,J))*VKNE(I,J) VNE(I,J)=(VDIF(I+IVE(J),J+1)-VDIF(I,J))*VKNE(I,J) 450 CONTINUE C DO 460 J=MYJS1,MYJE DO 460 I=MYIS,MYIE1 USE(I,J)=(UDIF(I+IVE(J),J-1)-UDIF(I,J))*VKSE(I,J) VSE(I,J)=(VDIF(I+IVE(J),J-1)-VDIF(I,J))*VKSE(I,J) 460 CONTINUE C----------------------------------------------------------------------- DO 470 J=MYJS2,MYJE2 DO 470 I=MYIS1,MYIE1 UTK=U(I,J,L) VTK=V(I,J,L) U(I,J,L)=U(I,J,L)-(UNE(I,J)-UNE(I+IVW(J),J-1) 1 +USE(I,J)-USE(I+IVW(J),J+1))*HDACV(I,J) V(I,J,L)=V(I,J,L)-(VNE(I,J)-VNE(I+IVW(J),J-1) 1 +VSE(I,J)-VSE(I+IVW(J),J+1))*HDACV(I,J) CKE(I,J)=0.5*(U(I,J,L)*U(I,J,L)-UTK*UTK 1 +V(I,J,L)*V(I,J,L)-VTK*VTK) 470 CONTINUE C----------------------------------------------------------------------- IF(HEAT)THEN DO 480 J=MYJS2,MYJE2 DO 480 I=MYIS1,MYIE1 T(I,J,L)=-RFCP*(CKE(I+IHE(J),J)+CKE(I,J+1) 1 +CKE(I+IHW(J),J)+CKE(I,J-1))*HBM2(I,J) 2 +T(I,J,L) 480 CONTINUE ENDIF ENDIF C----------------------------------------------------------------------- 500 CONTINUE 600 CONTINUE C----------------------------------------------------------------------- RETURN END