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jmc |
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C $Header: $ |
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C $Name: $ |
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C-- File interpolation_p2c.F: Routines for interpolation |
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C-- Contents |
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C-- o INTERPOLATION_P2C :: Interpolate from Parent to Child |
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C-- o BLINT :: Bilinear interpolation subroutine. |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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SUBROUTINE INTERPOLATION_P2C ( |
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& globalP1,globalP2,globalP3,globalP4,globalP5, |
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& NxP,NyP,NrP, |
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& NxC,NyC,NrC, |
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$ WesternB,EasternB, |
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$ P2C_U,P2C_V,P2C_o,P2C1_V,P2C2_V,P2C1_o,P2C2_o, |
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$ P2C_linU,WO3_linU,P2C_linV,WO3_linV, |
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$ Xv_F,Yv_F,Xv_P,Yv_P, |
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$ T_F,S_F,U_F,V_F,ETA_F, |
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$ DEEP_F,DEEP_P |
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& ) |
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C---------------------------------------------------- |
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IMPLICIT NONE |
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C---------------------------------------------------- |
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INTEGER :: I,J,K,II,JJ |
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INTEGER :: WesternB,EasternB |
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INTEGER :: NrP,NxP,NyP |
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INTEGER :: NrC,NxC,NyC |
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C---------------------------------------------------- |
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REAL*8 :: Fp,Fm,Fo,VEL_MEMO |
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INTEGER :: INDC |
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C---------------------------------------------------- |
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C Define Global Variables to Exchange |
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C---------------------------------------------------- |
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REAL*8 :: globalP1(6,NyP,NrP) |
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REAL*8 :: globalP2(6,NyP,NrP) |
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REAL*8 :: globalP3(6,NyP,NrP) |
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REAL*8 :: globalP4(6,NyP,NrP) |
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REAL*8 :: globalP5(6,NyP,NrP) |
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C---------------------------------------------------- |
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C Define CHILD Model Geometry |
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C---------------------------------------------------- |
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REAL*4 :: Xu_F(NxC,NyC) |
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REAL*4 :: Yu_F(NxC,NyC) |
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REAL*4 :: Xv_F(NxC,NyC) |
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REAL*4 :: Yv_F(NxC,NyC) |
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REAL*4 :: Xo_F(NxC,NyC) |
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REAL*4 :: Yo_F(NxC,NyC) |
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REAL*4 :: Xg_F(NxC,NyC) |
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REAL*4 :: Yg_F(NxC,NyC) |
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REAL*4 :: DEEP_F(NxC,NyC,NrC) |
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C---------------------------------------------------- |
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C Define PARENT Model Geometry |
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C---------------------------------------------------- |
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c REAL*4 :: Xu_P(NxP,NyP) |
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REAL*4 :: Yu_P(NxP,NyP) |
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REAL*4 :: Xv_P(NxP,NyP) |
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REAL*4 :: Yv_P(NxP,NyP) |
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REAL*4 :: Xo_P(NxP,NyP) |
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REAL*4 :: Yo_P(NxP,NyP) |
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REAL*4 :: Xg_P(NxP,NyP) |
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REAL*4 :: Yg_P(NxP,NyP) |
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REAL*4 :: DEEP_P(NxP,NyP,NrP) |
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REAL*4 :: DEPDEP |
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C----------------------------------------------------- |
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REAL*4 :: X1,X2,X3,X4,Y1,Y2,Y3,Y4 |
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REAL*4 :: f1,f2,f3,f4,f,x,y |
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REAL*4 :: gammaT,gammaS,terzo,dueterzi |
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REAL*4 :: gammaEta |
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REAL*4 :: gammaV |
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C---------------------------------------------------- |
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C Define INDICIES MATRIX |
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C---------------------------------------------------- |
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INTEGER :: P2C_U(NyC) !x imposizione NETTA |
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INTEGER :: P2C_linU(NyC) !x Lineare |
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INTEGER :: WO3_linU(NyC) !x Lineare !Which Of 3 |
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INTEGER :: P2C_linV(NyC) !x Lineare |
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INTEGER :: WO3_linV(NyC) !x Lineare !Which Of 3 |
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INTEGER :: P2C_V(NyC) !x Lineare |
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INTEGER :: P2C_o(NyC) !x Lineare |
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INTEGER :: P2C1_V(NyC) !x BiLineare |
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INTEGER :: P2C2_V(NyC) !x BiLineare |
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INTEGER :: P2C1_o(NyC) !x BiLineare |
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INTEGER :: P2C2_o(NyC) !x BiLineare |
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REAL*8 :: diff(NrC) |
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REAL*8 :: DEPDEP_F_WesternB(NrC) |
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REAL*8 :: DEPDEP_F_EasternB(NrC) |
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C---------------------------------------------------- |
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C Define CHILD model variable |
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C---------------------------------------------------- |
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C _____________ (1) WesternB (2) EasternB |
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C | |
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REAL*8 :: U_F(NyC,NrC,2) |
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REAL*8 :: V_F(NyC,NrC,2) |
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REAL*8 :: T_F(NyC,NrC,2) |
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REAL*8 :: S_F(NyC,NrC,2) |
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REAL*8 :: ETA_F(NyC,NrC,2) |
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C---------------------------------------------------- |
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PARAMETER ( terzo = 1./3.) |
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PARAMETER (dueterzi = 2./3.) |
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C======================================================= |
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C (2) INTERPOLATIONS |
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C======================================================= |
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C (2.1) Linear for normal velocity component (u in this case) |
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C------------------------------------------------------- |
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DO K = 1,NrP |
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DO J = 1,NyP-1 |
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IF (globalP4(2,J,K).eq.0.) THEN !uso la salinite come discriminante |
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globalP1 (2,J,K) = globalP1 (2,J+1,K) |
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ENDIF |
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ENDDO |
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DO J = NyP,2,-1 |
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IF (globalP4(2,J,K).eq.0.) THEN !uso la salinite come discriminante |
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globalP1 (2,J,K) = globalP1 (2,J-1,K) |
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ENDIF |
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ENDDO |
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ENDDO |
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C======================================================= |
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C (2.1) NOT Linear but simply imposed |
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C------------------------------------------------------- |
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DO J = 1,3 |
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U_F(J,:,1) = globalP1(2,P2C_U(J),:) |
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U_F(J,:,2) = globalP1(6,P2C_U(J),:) |
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ENDDO |
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DO J = NyC-2,NyC |
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U_F(J,:,1) = globalP1(2,P2C_U(J),:) |
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U_F(J,:,2) = globalP1(6,P2C_U(J),:) |
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ENDDO |
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C================================================= |
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DO J = 4,NyC-3,3 |
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INDC = P2C_U(J) |
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DO K = 1,NrC |
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C-------- WesternB ---------------------- |
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Fp = globalP1(2,INDC+1,K) |
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Fo = globalP1(2,INDC,K) |
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Fm = globalP1(2,INDC-1,K) |
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VEL_MEMO = 0. |
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DO I = -1,1 |
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U_F(J+1+i,K,1) = ((Fp-2.*Fo+Fm)/24.)* |
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& ((12.*float(i)**2+1.)/9.)+ |
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& ((float(i)/6.)*(Fp-Fm))+(26.*Fo-Fp-Fm)/24. |
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VEL_MEMO = VEL_MEMO + U_F(J+1+i,K,1) |
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ENDDO |
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VEL_MEMO = ((3.*Fo) - VEL_MEMO)/3. |
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DO I = -1,1 |
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U_F(J+1+i,K,1) = U_F(J+1+i,K,1) + VEL_MEMO |
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ENDDO |
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C-------- EasternB ---------------------- |
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Fp = globalP1(6,INDC+1,K) |
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Fo = globalP1(6,INDC,K) |
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Fm = globalP1(6,INDC-1,K) |
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VEL_MEMO = 0. |
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DO I = -1,1 |
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U_F(J+1+i,K,2) = ((Fp-2.*Fo+Fm)/24.)* |
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& ((12.*float(i)**2+1.)/9.)+ |
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& ((float(i)/6.)*(Fp-Fm))+(26.*Fo-Fp-Fm)/24. |
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VEL_MEMO = VEL_MEMO + U_F(J+1+i,K,2) |
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ENDDO |
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VEL_MEMO = ((3.*Fo) - VEL_MEMO)/3. |
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DO I = -1,1 |
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U_F(J+1+i,K,2) = U_F(J+1+i,K,2) + VEL_MEMO |
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ENDDO |
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C------------------------------------------------------ |
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ENDDO |
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ENDDO |
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C------------------------------------------------------- |
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C (2.2) BiLinear for tangent velocity component (v in this case) |
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C------------------------------------------------------- |
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I = 1 |
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II = WesternB |
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V_F(:,:,:) = 0. |
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DO K = 1,NrC |
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DO J = 1,NyC |
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x1 = Xv_P(II,P2C1_V(J)) |
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x2 = Xv_P(II,P2C2_V(J)) |
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x3 = Xv_P(II+1,P2C1_V(J)) |
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x4 = Xv_P(II+1,P2C2_V(J)) |
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y1 = Yv_P(II,P2C1_V(J)) |
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y2 = Yv_P(II,P2C2_V(J)) |
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y3 = Yv_P(II+1,P2C1_V(J)) |
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y4 = Yv_P(II+1,P2C2_V(J)) |
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x = Xv_F(I,J) |
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y = Yv_F(I,J) |
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f1 = globalP2(1,P2C1_V(J),K) |
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f2 = globalP2(1,P2C2_V(J),K) |
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f3 = globalP2(2,P2C1_V(J),K) |
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f4 = globalP2(2,P2C2_V(J),K) |
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call blint(x1,x2,x3,x4,y1,y2,y3,y4,f1,f2,f3,f4,x,y,f) |
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V_F(J,K,1) = f |
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ENDDO |
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ENDDO |
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C.............................................. |
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I = NxC |
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II = EasternB |
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DO K = 1,NrC |
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DO J = 1,NyC |
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x1 = Xv_P(II,P2C1_V(J)) |
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x2 = Xv_P(II,P2C2_V(J)) |
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x3 = Xv_P(II-1,P2C1_V(J)) |
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x4 = Xv_P(II-1,P2C2_V(J)) |
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y1 = Yv_P(II,P2C1_V(J)) |
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y2 = Yv_P(II,P2C2_V(J)) |
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y3 = Yv_P(II-1,P2C1_V(J)) |
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y4 = Yv_P(II-1,P2C2_V(J)) |
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x = Xv_F(I,J) |
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y = Yv_F(I,J) |
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f1 = globalP2(6,P2C1_V(J),K) |
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f2 = globalP2(6,P2C2_V(J),K) |
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f3 = globalP2(5,P2C1_V(J),K) |
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f4 = globalP2(5,P2C2_V(J),K) |
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call blint(x1,x2,x3,x4,y1,y2,y3,y4,f1,f2,f3,f4,x,y,f) |
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V_F(J,K,2) = f |
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ENDDO |
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ENDDO |
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C------------------------------------------------------- |
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C (2.3.1) Linear |
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C------------------------------------------------------- |
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C-- WesternB |
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DO K = 1,NrP |
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DO J = 1,NyP |
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DEPDEP = DEEP_P(WesternB,J,K) * DEEP_P(WesternB+1,J,K) |
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gammaT =(globalP3(2,J,K)-globalP3(1,J,K))*DEPDEP |
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gammaS =(globalP4(2,J,K)-globalP4(1,J,K))*DEPDEP |
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gammaeta =(globalP5(2,J,K)-globalP5(1,J,K))*DEPDEP |
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Cgm------- |
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c gammaV =(globalP2(2,J,K)-globalP2(1,J,K))*DEPDEP |
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Cgm--------- |
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globalP3(1,J,K) = globalP3(1,J,K) + terzo* gammaT |
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globalP4(1,J,K) = globalP4(1,J,K) + terzo* gammaS |
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globalP5(1,J,K) = globalP5(1,J,K) + terzo* gammaeta |
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Cgm------- |
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c globalP2(1,J,K) = globalP2(1,J,K) + terzo* gammaV |
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Cgm--------- |
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ENDDO |
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C-------------------------------------------------------------- |
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DO J = 1,NyP-1 |
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IF (globalP4(1,J,K).eq.0.) THEN !uso la salinità come discriminante |
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globalP3(1,J,K) = globalP3(1,J+1,K) |
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globalP4(1,J,K) = globalP4(1,J+1,K) |
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globalP5(1,J,K) = globalP5(1,J+1,K) |
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ENDIF |
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ENDDO |
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DO J = NyP,2,-1 |
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IF (globalP4(1,J,K).eq.0.) THEN !uso la salinità come discriminante |
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globalP3(1,J,K) = globalP3(1,J-1,K) |
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globalP4(1,J,K) = globalP4(1,J-1,K) |
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globalP5(1,J,K) = globalP5(1,J-1,K) |
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Cgm--------- |
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c globalP2(1,J,K) = globalP2(1,J-1,K) |
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Cgm------------- |
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ENDIF |
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ENDDO |
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C--------------------------------------------------------------- |
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ENDDO |
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C-- EasternB |
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DO K = 1,NrP |
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DO J = 1,NyP |
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DEPDEP = DEEP_P(EasternB,J,K) * DEEP_P(EasternB-1,J,K) |
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gammaT =(globalP3(5,J,K)-globalP3(6,J,K))*DEPDEP |
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gammaS =(globalP4(5,J,K)-globalP4(6,J,K))*DEPDEP |
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gammaeta =(globalP5(5,J,K)-globalP5(6,J,K))*DEPDEP |
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Cgm------------- |
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c gammaV =(globalP2(5,J,K)-globalP2(6,J,K))*DEPDEP |
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Cgm---------------- |
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globalP3(6,J,K) = globalP3(6,J,K) + terzo* gammaT |
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globalP4(6,J,K) = globalP4(6,J,K) + terzo* gammaS |
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globalP5(6,J,K) = globalP5(6,J,K) + terzo* gammaeta |
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Cgm---------------- |
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c globalP2(6,J,K) = globalP2(6,J,K) + terzo* gammaV |
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Cgm---------------- |
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ENDDO |
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C-------------------------------------------------------------- |
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DO J = 1,NyP-1 |
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IF (globalP4(6,J,K).eq.0.) THEN !uso la salinità come discriminante |
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globalP3(6,J,K) = globalP3(6,J+1,K) |
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globalP4(6,J,K) = globalP4(6,J+1,K) |
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globalP5(6,J,K) = globalP5(6,J+1,K) |
| 315 |
|
|
Cgm---------------- |
| 316 |
|
|
c globalP2(6,J,K) = globalP2(6,J+1,K) |
| 317 |
|
|
Cgm---------------- |
| 318 |
|
|
ENDIF |
| 319 |
|
|
ENDDO |
| 320 |
|
|
|
| 321 |
|
|
DO J = NyP,2,-1 |
| 322 |
|
|
IF (globalP4(6,J,K).eq.0.) THEN !uso la salinità come discriminante |
| 323 |
|
|
globalP3(6,J,K) = globalP3(6,J-1,K) |
| 324 |
|
|
globalP4(6,J,K) = globalP4(6,J-1,K) |
| 325 |
|
|
globalP5(6,J,K) = globalP5(6,J-1,K) |
| 326 |
|
|
Cgm---------------- |
| 327 |
|
|
c globalP2(6,J,K) = globalP2(6,J-1,K) |
| 328 |
|
|
Cgm---------------- |
| 329 |
|
|
ENDIF |
| 330 |
|
|
ENDDO |
| 331 |
|
|
C--------------------------------------------------------------- |
| 332 |
|
|
ENDDO |
| 333 |
|
|
C------------------------------------------------------- |
| 334 |
|
|
C (2.3.2) Linear |
| 335 |
|
|
C------------------------------------------------------- |
| 336 |
|
|
DO J = 1,NyC |
| 337 |
|
|
C....MASK DEEP_F |
| 338 |
|
|
IF (J.EQ.NyC) THEN !EVITO ERRORI DI CHECK BOUND x Vittorio |
| 339 |
|
|
DEPDEP_F_WesternB (:) = DEEP_F(1 ,J,:)*DEEP_F(1 ,J,:) |
| 340 |
|
|
DEPDEP_F_EasternB(:) = DEEP_F(NxC,J,:)*DEEP_F(NxC,J,:) |
| 341 |
|
|
ELSE |
| 342 |
|
|
DEPDEP_F_WesternB (:) = DEEP_F(1 ,J,:)*DEEP_F(1 ,J+1,:) |
| 343 |
|
|
DEPDEP_F_EasternB(:) = DEEP_F(NxC,J,:)*DEEP_F(NxC,J+1,:) |
| 344 |
|
|
ENDIF |
| 345 |
|
|
|
| 346 |
|
|
C....WesternB...T..................... |
| 347 |
|
|
diff(:) = globalP3(1,P2C_linU(J)+1,:)- |
| 348 |
|
|
& globalP3(1,P2C_linU(J) ,:) |
| 349 |
|
|
|
| 350 |
|
|
T_F(J,:,1) = globalP3(1,P2C_linU(J) ,:)+ |
| 351 |
|
|
& (diff(:)/3.)*float((WO3_linU(J))) |
| 352 |
|
|
& *DEPDEP_F_WesternB(:) |
| 353 |
|
|
C.....EasternB..T..................... |
| 354 |
|
|
diff(:) = globalP3(6,P2C_linU(J)+1,:)- |
| 355 |
|
|
& globalP3(6,P2C_linU(J) ,:) |
| 356 |
|
|
|
| 357 |
|
|
T_F(J,:,2) = globalP3(6,P2C_linU(J) ,:)+ |
| 358 |
|
|
& (diff(:)/3.)*float((WO3_linU(J))) |
| 359 |
|
|
& *DEPDEP_F_EasternB(:) |
| 360 |
|
|
C.....WesternB...S..................... |
| 361 |
|
|
diff(:) = globalP4(1,P2C_linU(J)+1,:)- |
| 362 |
|
|
& globalP4 (1,P2C_linU(J) ,:) |
| 363 |
|
|
|
| 364 |
|
|
S_F(J,:,1) = globalP4(1,P2C_linU(J) ,:)+ |
| 365 |
|
|
& (diff(:)/3.)*float((WO3_linU(J))) |
| 366 |
|
|
& *DEPDEP_F_WesternB(:) |
| 367 |
|
|
C.... EasternB..S..................... |
| 368 |
|
|
diff(:) = (globalP4(6,P2C_linU(J)+1,:)- |
| 369 |
|
|
& globalP4 (6,P2C_linU(J) ,:)) |
| 370 |
|
|
|
| 371 |
|
|
S_F(J,:,2) = globalP4(6,P2C_linU(J) ,:)+ |
| 372 |
|
|
& (diff(:)/3.)*float((WO3_linU(J))) |
| 373 |
|
|
& *DEPDEP_F_EasternB(:) |
| 374 |
|
|
C.... WesternB...Eta..................... |
| 375 |
|
|
diff(:) = globalP5(1,P2C_linU(J)+1,:)- |
| 376 |
|
|
& globalP5(1,P2C_linU(J) ,:) |
| 377 |
|
|
|
| 378 |
|
|
eta_F(J,:,1) = globalP5(1,P2C_linU(J) ,:)+ |
| 379 |
|
|
& (diff(:)/3.)*float((WO3_linU(J))) |
| 380 |
|
|
& *DEPDEP_F_WesternB(:) |
| 381 |
|
|
C.... EasternB..Eta..................... |
| 382 |
|
|
diff(:) = globalP5(6,P2C_linU(J)+1,:)- |
| 383 |
|
|
& globalP5(6,P2C_linU(J) ,:) |
| 384 |
|
|
|
| 385 |
|
|
eta_F(J,:,2) = globalP5(6,P2C_linU(J) ,:)+ |
| 386 |
|
|
& (diff(:)/3.)*float(WO3_linU(J)) |
| 387 |
|
|
& *DEPDEP_F_EasternB(:) |
| 388 |
|
|
|
| 389 |
|
|
Cgm-------------------------- |
| 390 |
|
|
|
| 391 |
|
|
C.... WesternB...V..................... |
| 392 |
|
|
c diff(:) = globalP2(1,P2C_linU(J)+1,:)- |
| 393 |
|
|
c & globalP2(1,P2C_linU(J) ,:) |
| 394 |
|
|
C V_F(J,:,1) = globalP2(1,P2C_linU(J) ,:)+ |
| 395 |
|
|
C & (diff(:)/3.)*float((WO3_linU(J))) |
| 396 |
|
|
C & *DEPDEP_F_WesternB(:) |
| 397 |
|
|
C.... EasternB..V..................... |
| 398 |
|
|
C diff(:) = globalP2(6,P2C_linU(J)+1,:)- |
| 399 |
|
|
C & globalP2(6,P2C_linU(J) ,:) |
| 400 |
|
|
C V_F(J,:,2) = globalP2(6,P2C_linU(J) ,:)+ |
| 401 |
|
|
C & (diff(:)/3.)*float((WO3_linU(J))) |
| 402 |
|
|
C & *DEPDEP_F_EasternB(:) |
| 403 |
|
|
Cgm---------------------------- |
| 404 |
|
|
ENDDO |
| 405 |
|
|
|
| 406 |
|
|
8765 CONTINUE |
| 407 |
|
|
C=============== END INTERPOLAZIONI x CHILD ==================== |
| 408 |
|
|
|
| 409 |
|
|
RETURN |
| 410 |
|
|
END |
| 411 |
|
|
|
| 412 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 413 |
|
|
|
| 414 |
|
|
C================================================================ |
| 415 |
|
|
SUBROUTINE BLINT(x1,x2,x3,x4,y1,y2,y3,y4,f1,f2,f3,f4,x,y,f) |
| 416 |
|
|
C================================================================ |
| 417 |
|
|
C |
| 418 |
|
|
C Bilinear interpolation subroutine. |
| 419 |
|
|
C (Xi,Yi,fi) = data grid & values surounding model point (x,y) |
| 420 |
|
|
C f = interpolated value at the model grid point. |
| 421 |
|
|
IMPLICIT NONE |
| 422 |
|
|
real*4 a1,a2,a3,a4 |
| 423 |
|
|
real*4 b1,b2,b3,b4 |
| 424 |
|
|
real*4 x1,x2,x3,x4 |
| 425 |
|
|
real*4 y1,y2,y3,y4 |
| 426 |
|
|
real*4 f1,f2,f3,f4 |
| 427 |
|
|
real*4 x,y,A,B,C,t,f,s |
| 428 |
|
|
C |
| 429 |
|
|
a1=x1-x2+x3-x4 |
| 430 |
|
|
a2=-x1+x4 |
| 431 |
|
|
a3=-x1+x2 |
| 432 |
|
|
a4=x1-x |
| 433 |
|
|
b1=y1-y2+y3-y4 |
| 434 |
|
|
b2=-y1+y4 |
| 435 |
|
|
b3=-y1+y2 |
| 436 |
|
|
b4=y1-y |
| 437 |
|
|
A=a3*b1-a1*b3 |
| 438 |
|
|
B=b2*a3+b1*a4-a1*b4-a2*b3 |
| 439 |
|
|
C=-a2*b4+a4*b2 |
| 440 |
|
|
if(ABS(A*C).gt.0.002*B**2) then |
| 441 |
|
|
t=(-B-sqrt(B*B-4.*A*C))/(2.*A) |
| 442 |
|
|
else |
| 443 |
|
|
t=C/ABS(B) |
| 444 |
|
|
endif |
| 445 |
|
|
10 CONTINUE |
| 446 |
|
|
A=a2*b1-a1*b2 |
| 447 |
|
|
B=b3*a2+b1*a4-a1*b4-a3*b2 |
| 448 |
|
|
C=-a3*b4+a4*b3 |
| 449 |
|
|
if(ABS(A*C).gt.0.002*B**2) then |
| 450 |
|
|
s=(-B+sqrt(B*B-4.*A*C))/(2.*A) |
| 451 |
|
|
else |
| 452 |
|
|
s=-C/ABS(B) |
| 453 |
|
|
endif |
| 454 |
|
|
20 CONTINUE |
| 455 |
|
|
f=f1*(1.-t)*(1.-s)+f2*t*(1.-s)+f3*s*t+f4*(1.-t)*s |
| 456 |
|
|
return |
| 457 |
|
|
end |
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