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implicit_fluxes.f90
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module implicit_fluxes
use declaration
USE LIBRARY
USE TRANSFORM
USE LOCAL
USE RIEMANN
USE FLOW_OPERATIONS
use source
IMPLICIT NONE
contains
SUBROUTINE CALCULATE_JACOBIAN(N)
!> @brief
!> This subroutine computes the approximate jacobian for implicit time stepping in 3D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
REAL,DIMENSION(1:NOF_variables+TURBULENCEEQUATIONS+PASSIVESCALAR)::GODFLUX2
INTEGER::I,L,NGP,KMAXE,IQP,ii,nvar
REAL::sum_detect,NORMS,VPP,ASOUND1,ASOUND2,MUL1,DXB,tempxx
REAL,DIMENSION(NOF_variables,NOF_variables)::IDENTITY1
real,dimension(NOF_variables,NOF_variables)::convj,diffj
KMAXE=XMPIELRANK(N)
IDENTITY1(:,:)=ZERO
DO L=1,NOF_VARIABLES
IDENTITY1(L,L)=1.0D0
END DO
!$OMP DO SCHEDULE (STATIC)
DO II=1,NOF_INTERIOR !for all the interior elements
I=EL_INT(II)
ICONSIDERED=I
IMPDIAG(i,:,:)=zero
IMPOFF(i,:,:,:)=zero
if (turbulence.eq.1)then
impdiagt(i,:)=zero
IMPOFFt(i,:,:)=zero
end if
IF (MRF.EQ.1)THEN
SRF=ILOCAL_RECON3(I)%MRF
END IF
DO L=1,IELEM(N,I)%IFCA !for all their faces
GODFLUX2=ZERO
ANGLE1=IELEM(N,I)%FACEANGLEX(L)
ANGLE2=IELEM(N,I)%FACEANGLEY(L)
NX=(COS(ANGLE1)*SIN(ANGLE2))
NY=(SIN(ANGLE1)*SIN(ANGLE2))
NZ=(COS(ANGLE2))
mul1=IELEM(N,I)%SURF(L)
B_CODE=0
CLEFT(1:nof_variables)=U_C(I)%VAL(1,1:nof_variables)
CRIGHT(1:nof_variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBL(1:turbulenceequations+PASSIVESCALAR)=U_CT(I)%VAL(1,1:turbulenceequations+PASSIVESCALAR)!left additional equations flow state
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
CALL ROTATEF(N,TRI,CRIGHT_ROT,CRIGHT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEF(N,TRI,CLEFT_ROT,CLEFT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
IF ((LMACH.EQ.1))THEN !application of the low mach number correction
LEFTV(1:nof_Variables)=CLEFT_ROT(1:nof_Variables); RIGHTV(1:nof_Variables)=CRIGHT_ROT(1:nof_Variables)
CALL LMACHT(N)
CLEFT_ROT(1:nof_Variables)=LEFTV(1:nof_Variables);CRIGHT_ROT(1:nof_Variables)=RIGHTV(1:nof_Variables);
CALL ROTATEB(N,INVTRI,CRIGHT,CRIGHT_ROT,ANGLE1,ANGLE2)
CALL ROTATEB(N,INVTRI,ClefT,Cleft_ROT,ANGLE1,ANGLE2)
END IF
LEFTV(1:nof_Variables)=CLEFT(1:nof_Variables);RIGHTV(1:nof_Variables)=CRIGHT(1:nof_Variables)
CALL CONS2PRIM2(N)
ASOUND1=SQRT(LEFTV(5)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1))
ASOUND2=SQRT(RIGHTV(5)*GAMMA/RIGHTV(1))+abs(Cright_ROT(2)/Cright_ROT(1))
IF(SRF.EQ.1)THEN
!RETRIEVE THE ROTATIONAL VELOCITY (AT THE GAUSSIAN POINT JUST FOR SECOND ORDER)
SRF_SPEED(2:4)=ILOCAL_RECON3(I)%ROTVEL(L,1,1:3)
CALL ROTATEF(N,TRI,SRF_SPEEDROT,SRF_SPEED,ANGLE1,ANGLE2)
!CALCULATE THE NEW EIGENVALUE FOR ROTATING REFERENCE FRAME
ASOUND1=SQRT(LEFTV(5)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1)-SRF_SPEEDROT(2))
ASOUND2=SQRT(RIGHTV(5)*GAMMA/RIGHTV(1))+abs(Cright_ROT(2)/Cright_ROT(1)-SRF_SPEEDROT(2))
END IF
VPP=MAX(ASOUND1,ASOUND2)
IF (ITESTCASE.EQ.4)THEN
CALL SUTHERLAND(N,LEFTV,RIGHTV)
viscots=(VISCL(1)+VISCL(2))*OO2
mul1=IELEM(N,I)%SURF(L)
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*mul1&
/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))&
*viscots*mul1/(ielem(n,i)%dih(l)*prandtl)))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=CTURBL(1); TURBMV(2)=CTURBR(1);eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
Call EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
IF (TURBULENCEMODEL.EQ.2)THEN
EDDYFL(1)=IELEM(N,I)%WALLDIST;EDDYFL(2)=CTURBL(1);EDDYFL(3)=CTURBL(2)
EDDYFL(4:6)= ILOCAL_RECON3(I)%GRADs(1,1:3);EDDYFL(7:9)=ILOCAL_RECON3(I)%GRADs(2,1:3)
EDDYFL(10:12)=ILOCAL_RECON3(I)%GRADs(3,1:3);EDDYFL(13:15)=ILOCAL_RECON3(I)%GRADs(5,1:3)
EDDYFL(16:18)=ILOCAL_RECON3(I)%GRADs(6,1:3)
eddyfr=eddyfl
Call EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
VISCOTS=OO2*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*&
mul1/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))*&
viscots*mul1/(ielem(n,i)%dih(l)*(prandtl+prtu))))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
END IF
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
if ((turbulence.eq.1).or.(passivescalar.gt.0))then
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(((OO2*vpp))*mul1)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
VISCL(1)=VISCL(1)/SCHMIDT_LAM
VISCL(2)=VISCL(2)/SCHMIDT_LAM
if (turbulence.eq.1)then
VISCL(3)=VISCL(3)/SCHMIDT_TURB
VISCL(4)=VISCL(4)/SCHMIDT_TURB
viscots=0.5*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
else
viscots=0.5*((viscl(1)+viscl(2)))
end if
VISCOTS=(2.0*VISCOTS)/((cleft(1)+cRIGHT(1))*IELEM(N,I)%DIH(L))
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(OO2*((vpp))*MUL1)
end do
end if
END IF
ELSE
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
END IF
END DO
END DO
!$OMP END DO
!$OMP DO SCHEDULE (STATIC)
DO II=1,NOF_BOUNDED
I=EL_BND(II)
ICONSIDERED=I
IMPDIAG(i,:,:)=0.0
IMPOFF(i,:,:,:)=0.0
if (turbulence.eq.1)then
impdiagt(i,:)=0.0
IMPOFFt(i,:,:)=0.0
end if
IF (MRF.EQ.1)THEN
SRF=ILOCAL_RECON3(I)%MRF
END IF
DO L=1,IELEM(N,I)%IFCA
B_CODE=0
ANGLE1=IELEM(N,I)%FACEANGLEX(L)
ANGLE2=IELEM(N,I)%FACEANGLEY(L)
NX=(COS(ANGLE1)*SIN(ANGLE2))
NY=(SIN(ANGLE1)*SIN(ANGLE2))
NZ=(COS(ANGLE2))
mul1=IELEM(N,I)%SURF(L)
B_CODE=0
CLEFT(1:nof_Variables)=U_C(I)%VAL(1,1:nof_Variables)
IF (SRF.EQ.1) THEN
!RETRIEVE ROTATIONAL VELOCITY IN CASE OF ROTATING REFERENCE FRAME TO CALCULATE THE CORRECT VALUE OF THE BOUNDARY CONDITION
SRF_SPEED(2:4)=ILOCAL_RECON3(I)%ROTVEL(L,1,1:3)
CALL ROTATEF(N,TRI,SRF_SPEEDROT,SRF_SPEED,ANGLE1,ANGLE2)
END IF
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBL(1:turbulenceequations+PASSIVESCALAR)=U_CT(I)%VAL(1,1:turbulenceequations+PASSIVESCALAR)
end if
IF (IELEM(N,I)%INEIGHB(L).EQ.N)THEN !MY CPU ONLY
IF (IELEM(N,I)%IBOUNDS(L).GT.0)THEN !CHECK FOR BOUNDARIES
if ((ibound(n,ielem(n,i)%ibounds(l))%icode.eq.5).or.(ibound(n,ielem(n,i)%ibounds(l))%icode.eq.50))then !PERIODIC IN MY CPU
CRIGHT(1:nof_Variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_Variables)
IF(PER_ROT.EQ.1)THEN
CRIGHT(2:4)=ROTATE_PER_1(CRIGHT(2:4),ibound(n,ielem(n,i)%ibounds(l))%icode,angle_per)
END IF
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
ELSE
!NOT PERIODIC ONES IN MY CPU
facex=l;iconsidered=i
CALL coordinates_face_innerx(N,Iconsidered,facex)
CORDS(1:3)=zero
CORDS(1:3)=CORDINATES3(N,NODES_LIST,N_NODE)
Poy(1)=cords(2)
Pox(1)=cords(1)
poz(1)=cords(3)
LEFTV(1:nof_variables)=CLEFT(1:nof_variables)
B_CODE=ibound(n,ielem(n,i)%ibounds(l))%icode
CALL BOUNDARYS(N,B_CODE,ICONSIDERED)
cright(1:nof_Variables)=rightv(1:nof_Variables)
END IF
ELSE
CRIGHT(1:nof_Variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_Variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
END IF
ELSE !IN OTHER CPUS THEY CAN ONLY BE PERIODIC OR MPI NEIGHBOURS
IF (IELEM(N,I)%IBOUNDS(L).GT.0)THEN !CHECK FOR BOUNDARIES
if ((ibound(n,ielem(n,i)%ibounds(l))%icode.eq.5).or.(ibound(n,ielem(n,i)%ibounds(l))%icode.eq.50))then !PERIODIC IN OTHER CPU
IF (FASTEST.EQ.1)THEN
CRIGHT(1:nof_Variables)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),1:nof_Variables)
ELSE
CRIGHT(1:nof_Variables)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),1:nof_Variables)
END IF
IF(PER_ROT.EQ.1)THEN
CRIGHT(2:4)=ROTATE_PER_1(CRIGHT(2:4),ibound(n,ielem(n,i)%ibounds(l))%icode,angle_per)
END IF
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
IF (FASTEST.EQ.1)THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL&
(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),6:5+TURBULENCEEQUATIONS+PASSIVESCALAR)
ELSE
CTURBR(1:turbulenceequations+PASSIVESCALAR)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),6:5+TURBULENCEEQUATIONS+PASSIVESCALAR)
END IF
END IF
END IF
ELSE
IF (FASTEST.EQ.1)THEN
CRIGHT(1:nof_Variables)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),1:nof_Variables)
ELSE
CRIGHT(1:nof_Variables)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),1:nof_Variables)
END IF
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
IF (FASTEST.EQ.1)THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL&
(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),6:5+TURBULENCEEQUATIONS+PASSIVESCALAR)
ELSE
CTURBR(1:turbulenceequations+PASSIVESCALAR)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),6:5+TURBULENCEEQUATIONS+PASSIVESCALAR)
END IF
END IF
!
END IF
END IF
CALL ROTATEF(N,TRI,CRIGHT_ROT,CRIGHT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEF(N,TRI,CLEFT_ROT,CLEFT,ANGLE1,ANGLE2)
IF ((LMACH.EQ.1))THEN !application of the low mach number correction
LEFTV(1:nof_Variables)=CLEFT_ROT(1:nof_Variables); RIGHTV(1:nof_Variables)=CRIGHT_ROT(1:nof_Variables)
CALL LMACHT(N)
CLEFT_ROT(1:nof_Variables)=LEFTV(1:nof_Variables);CRIGHT_ROT(1:nof_Variables)=RIGHTV(1:nof_Variables);
CALL ROTATEB(N,INVTRI,CRIGHT,CRIGHT_ROT,ANGLE1,ANGLE2)
CALL ROTATEB(N,INVTRI,ClefT,Cleft_ROT,ANGLE1,ANGLE2)
END IF
LEFTV(1:nof_Variables)=CLEFT(1:nof_Variables);RIGHTV(1:nof_Variables)=CRIGHT(1:nof_Variables)
CALL CONS2PRIM2(N)
ASOUND1=SQRT(LEFTV(5)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1))
ASOUND2=SQRT(RIGHTV(5)*GAMMA/RIGHTV(1))+abs(Cright_ROT(2)/Cright_ROT(1))
IF (SRF.EQ.1) THEN
ASOUND1=SQRT(LEFTV(5)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1)-SRF_SPEEDROT(2))
ASOUND2=SQRT(LEFTV(5)*GAMMA/LEFTV(1))+abs(Cright_ROT(2)/Cright_ROT(1)-SRF_SPEEDROT(2))
END IF
VPP=MAX(ASOUND1,ASOUND2)
IF (ITESTCASE.EQ.4)THEN
CALL SUTHERLAND(N,LEFTV,RIGHTV)
viscots=(VISCL(1)+VISCL(2))*OO2
mul1=IELEM(N,I)%SURF(L)
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*mul1&
/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))&
*viscots*mul1/(ielem(n,i)%dih(l)*prandtl)))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=CTURBL(1); TURBMV(2)=CTURBR(1);eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
Call EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
IF (TURBULENCEMODEL.EQ.2)THEN
EDDYFL(1)=IELEM(N,I)%WALLDIST;EDDYFL(2)=CTURBL(1);EDDYFL(3)=CTURBL(2)
EDDYFL(4:6)= ILOCAL_RECON3(I)%GRADs(1,1:3);EDDYFL(7:9)=ILOCAL_RECON3(I)%GRADs(2,1:3)
EDDYFL(10:12)=ILOCAL_RECON3(I)%GRADs(3,1:3);EDDYFL(13:15)=ILOCAL_RECON3(I)%GRADs(5,1:3)
EDDYFL(16:18)=ILOCAL_RECON3(I)%GRADs(6,1:3)
eddyfr=eddyfl
Call EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
VISCOTS=OO2*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*&
mul1/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))*&
viscots*mul1/(ielem(n,i)%dih(l)*(prandtl+prtu))))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
END IF
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
if ((turbulence.eq.1).or.(passivescalar.gt.0))then
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(((OO2*vpp))*mul1)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
VISCL(1)=VISCL(1)/SCHMIDT_LAM
VISCL(2)=VISCL(2)/SCHMIDT_LAM
if (turbulence.eq.1)then
VISCL(3)=VISCL(3)/SCHMIDT_TURB
VISCL(4)=VISCL(4)/SCHMIDT_TURB
viscots=0.5*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
else
viscots=0.5*((viscl(1)+viscl(2)))
end if
VISCOTS=(2.0*VISCOTS)/((cleft(1)+cRIGHT(1))*IELEM(N,I)%DIH(L))
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(OO2*((vpp))*MUL1)
end do
end if
END IF
ELSE
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
END IF
END DO
END DO
!$OMP END DO
!ADD THE CONTRIBUTION OF THE SOURCE TERM TO THE JACOBIAN OF THE DIAGONAL MATRIX
IF (SRFg.EQ.1) THEN
!$OMP DO SCHEDULE(GUIDED)
DO I=1,KMAXE
IMPDIAG(i,2,3)=-SRF_VELOCITY(3)*ielem(n,I)%totvolume
IMPDIAG(i,2,4)=SRF_VELOCITY(2)*ielem(n,I)%totvolume
IMPDIAG(i,3,2)=SRF_VELOCITY(3)*ielem(n,I)%totvolume
IMPDIAG(i,3,4)=-SRF_VELOCITY(1)*ielem(n,I)%totvolume
IMPDIAG(i,4,2)=-SRF_VELOCITY(2)*ielem(n,I)%totvolume
IMPDIAG(i,4,3)=SRF_VELOCITY(1)*ielem(n,I)%totvolume
END DO
!$OMP END DO
END IF
IF (MRF.EQ.1) THEN
!$OMP DO SCHEDULE(GUIDED)
DO I=1,KMAXE
SRF=ILOCAL_RECON3(I)%MRF
IF(SRF.EQ.1)THEN
IMPDIAG(i,2,3)=-ILOCAL_RECON3(I)%MRF_VELOCITY(3)*ielem(n,I)%totvolume
IMPDIAG(i,2,4)=ILOCAL_RECON3(I)%MRF_VELOCITY(2)*ielem(n,I)%totvolume
IMPDIAG(i,3,2)=ILOCAL_RECON3(I)%MRF_VELOCITY(3)*ielem(n,I)%totvolume
IMPDIAG(i,3,4)=-ILOCAL_RECON3(I)%MRF_VELOCITY(1)*ielem(n,I)%totvolume
IMPDIAG(i,4,2)=-ILOCAL_RECON3(I)%MRF_VELOCITY(2)*ielem(n,I)%totvolume
IMPDIAG(i,4,3)=ILOCAL_RECON3(I)%MRF_VELOCITY(1)*ielem(n,I)%totvolume
END IF
SRF=0
END DO
!$OMP END DO
END IF
IF (RUNGEKUTTA.EQ.10)THEN
!$OMP DO SCHEDULE(STATIC)
do i=1,kmaxe
DO L=1,NOF_VARIABLES
IMPDIAG(i,L,L)=IMPDIAG(i,L,L)+(ielem(n,I)%totvolume/ielem(n,I)%dtl)
END DO
end do
!$OMP END DO
ELSE
!$OMP DO SCHEDULE(STATIC)
!
do i=1,kmaxe
DO L=1,NOF_VARIABLES
IMPDIAG(I,L,L)=ielem(n,I)%totvolume*((1.0D0/ielem(n,I)%dtl)+(1.5D0/DT))+(IMPDIAG(i,L,L))
END DO
end do
!$OMP END DO
END IF
if ((turbulence.gt.0).or.(passivescalar.gt.0))then
if (turbulence.eq.1)CALL SOURCES_derivatives_COMPUTATION(N)
if (rungekutta.eq.10)then
!$OMP DO SCHEDULE(STATIC)
do i=1,kmaxe
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
IMPDIAGt(i,nvar)=IMPDIAGt(i,nvar)+(ielem(n,I)%totvolume/(ielem(n,I)%dtl))-sht(i,nvar)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
IMPDIAGt(i,nvar)=IMPDIAGt(i,nvar)+(ielem(n,I)%totvolume/ielem(n,I)%dtl)
end do
end if
end do
!$OMP END DO
else
!$OMP DO SCHEDULE(STATIC)
do i=1,kmaxe
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
!IMPDIAGt(i,nvar)=ielem(n,I)%totvolume*(((dt+1.5d0*ielem(n,I)%dtl)/dt) +(IMPDIAGt(i,nvar)*ielem(n,i)%dtl/ielem(n,I)%totvolume)-(sht(i,nvar)/ielem(n,I)%totvolume))/ielem(n,i)%dtl
! IMPDIAGt(i,nvar)=(ielem(n,I)%totvolume*(((dt+1.5d0*ielem(n,I)%dtl)/dt) +(IMPDIAGt(i,nvar)*ielem(n,i)%dtl/ielem(n,I)%totvolume))/ielem(n,i)%dtl)-(sht(i,nvar))
IMPDIAGt(i,nvar)=ielem(n,I)%totvolume*((1.0D0/ielem(n,I)%dtl)+(1.5D0/DT))+(IMPDIAGt(i,nvar))-sht(i,nvar)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
IMPDIAGt(i,nvar)=ielem(n,I)%totvolume*((1.0D0/ielem(n,I)%dtl)+(1.5D0/DT))+(IMPDIAGt(i,1))
! IMPDIAGt(i,nvar)=(ielem(n,I)%totvolume*(((dt+1.5d0*ielem(n,I)%dtl)/dt)+(IMPDIAGt(i,nvar)*ielem(n,i)%dtl/ielem(n,I)%totvolume))/ielem(n,i)%dtl)
end do
end if
end do
!$OMP END DO
end if
end if
END SUBROUTINE CALCULATE_JACOBIAN
SUBROUTINE CALCULATE_JACOBIAN_2D(N)
!> @brief
!> This subroutine computes the approximate jacobian for implicit time stepping in 2D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
REAL,DIMENSION(1:NOF_variables+TURBULENCEEQUATIONS+PASSIVESCALAR)::GODFLUX2
INTEGER::I,L,NGP,KMAXE,IQP,ii,nvar,KAS
REAL::sum_detect,NORMS,VPP,ASOUND1,ASOUND2,MUL1
REAL,DIMENSION(4,4)::IDENTITY1
real,dimension(4,4)::convj,diffj
KMAXE=XMPIELRANK(N)
IDENTITY1(:,:)=ZERO
IDENTITY1(1,1)=1.0D0
IDENTITY1(2,2)=1.0D0
IDENTITY1(3,3)=1.0D0
IDENTITY1(4,4)=1.0D0
!$OMP DO SCHEDULE (STATIC)
DO II=1,NOF_INTERIOR !for all the interior elements
I=EL_INT(II)
ICONSIDERED=I
IMPDIAG(i,:,:)=zero
IMPOFF(i,:,:,:)=zero
if (turbulence.eq.1)then
impdiagt(i,:)=zero
IMPOFFt(i,:,:)=zero
end if
DO L=1,IELEM(N,I)%IFCA !for all their faces
B_CODE=0
ANGLE1=IELEM(N,I)%FACEANGLEX(L)
ANGLE2=IELEM(N,I)%FACEANGLEY(L)
NX=ANGLE1
NY=ANGLE2
mul1=IELEM(N,I)%SURF(L)
CLEFT(1:nof_variables)=U_C(I)%VAL(1,1:nof_variables)
CRIGHT(1:nof_variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBL(1:turbulenceequations+PASSIVESCALAR)=U_CT(I)%VAL(1,1:turbulenceequations+PASSIVESCALAR)!left additional equations flow state
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
CALL ROTATEF2D(N,TRI,CRIGHT_ROT,CRIGHT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEF2D(N,TRI,CLEFT_ROT,CLEFT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
IF ((LMACH.EQ.1))THEN !application of the low mach number correction
LEFTV(1:nof_Variables)=CLEFT_ROT(1:nof_Variables); RIGHTV(1:nof_Variables)=CRIGHT_ROT(1:nof_Variables)
CALL LMACHT2d(N)
CLEFT_ROT(1:nof_Variables)=LEFTV(1:nof_Variables);CRIGHT_ROT(1:nof_Variables)=RIGHTV(1:nof_Variables);
CALL ROTATEb2D(N,invTRI,CRIGHT,CRIGHT_ROT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEb2D(N,invTRI,CLEFT,CLEFT_ROT,ANGLE1,ANGLE2)
END IF
LEFTV(1:nof_Variables)=CLEFT(1:nof_Variables);RIGHTV(1:nof_Variables)=CRIGHT(1:nof_Variables)
CALL CONS2PRIM2D2(N)
ASOUND1=SQRT(LEFTV(4)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1))
ASOUND2=SQRT(RIGHTV(4)*GAMMA/RIGHTV(1))+abs(Cright_ROT(2)/Cright_ROT(1))
VPP=MAX(ASOUND1,ASOUND2)
IF (ITESTCASE.EQ.4)THEN
CALL SUTHERLAND2D(N,LEFTV,RIGHTV)
viscots=(VISCL(1)+VISCL(2))*OO2
mul1=IELEM(N,I)%SURF(L)
! viscots=viscots/((0.5*(cleft(1)+cRIGHT(1)))*ielem(n,i)%dih(l))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*mul1&
/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))&
*viscots*mul1/(ielem(n,i)%dih(l)*prandtl)))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=CTURBL(1); TURBMV(2)=CTURBR(1);eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
Call EDDYVISCO2d(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
IF (TURBULENCEMODEL.EQ.2)THEN
EDDYFL(1)=IELEM(N,I)%WALLDIST;EDDYFL(2)=CTURBL(1);EDDYFL(3)=CTURBL(2)
EDDYFL(4:5)= ILOCAL_RECON3(I)%GRADs(1,1:2);EDDYFL(6:7)=ILOCAL_RECON3(I)%GRADs(2,1:2)
EDDYFL(8:9)=ILOCAL_RECON3(I)%GRADs(4,1:2)
EDDYFL(10:11)=ILOCAL_RECON3(I)%GRADs(5,1:2)
eddyfr=eddyfl
Call EDDYVISCO2d(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
VISCOTS=OO2*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
! viscots=viscots/((0.5*(cleft(1)+cRIGHT(1)))*ielem(n,i)%dih(l))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*&
mul1/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))*&
viscots*mul1/(ielem(n,i)%dih(l)*(prandtl+prtu))))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
END IF
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE2D(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
if ((turbulence.eq.1).or.(passivescalar.gt.0))then
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(((OO2*vpp))*mul1)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
VISCL(1)=VISCL(1)/SCHMIDT_LAM
VISCL(2)=VISCL(2)/SCHMIDT_LAM
if (turbulence.eq.1)then
VISCL(3)=VISCL(3)/SCHMIDT_TURB
VISCL(4)=VISCL(4)/SCHMIDT_TURB
viscots=0.5*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
else
viscots=0.5*((viscl(1)+viscl(2)))
end if
VISCOTS=(2.0*VISCOTS)/((cleft(1)+cRIGHT(1))*IELEM(N,I)%DIH(L))
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(OO2*((vpp))*MUL1)
end do
end if
END IF
ELSE
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE2d(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
END IF
END DO
END DO
!$OMP END DO
!$OMP DO SCHEDULE (STATIC)
DO II=1,NOF_BOUNDED
I=EL_BND(II)
ICONSIDERED=I
IMPDIAG(i,:,:)=zero
IMPOFF(i,:,:,:)=zero
if (turbulence.eq.1)then
impdiagt(i,:)=zero
IMPOFFt(i,:,:)=zero
end if
DO L=1,IELEM(N,I)%IFCA
mul1=IELEM(N,I)%SURF(L)
ANGLE1=IELEM(N,I)%FACEANGLEX(L)
ANGLE2=IELEM(N,I)%FACEANGLEY(L)
NX=ANGLE1
NY=ANGLE2
B_CODE=0
CLEFT(1:nof_Variables)=U_C(I)%VAL(1,1:nof_Variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBL(1:turbulenceequations+PASSIVESCALAR)=U_CT(I)%VAL(1,1:turbulenceequations+PASSIVESCALAR)
end if
IF (IELEM(N,I)%INEIGHB(L).EQ.N)THEN !MY CPU ONLY
IF (IELEM(N,I)%IBOUNDS(L).GT.0)THEN !CHECK FOR BOUNDARIES
if (ibound(n,ielem(n,i)%ibounds(L))%icode.eq.5)then !PERIODIC IN MY CPU
CRIGHT(1:nof_Variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_Variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
KAS=1
ELSE
!NOT PERIODIC ONES IN MY CPU
facex=l;iconsidered=i
CALL coordinates_face_inner2Dx(N,Iconsidered,facex)
CORDS(1:2)=zero
CORDS(1:2)=CORDINATES2(N,NODES_LIST,N_NODE)
Poy(1)=cords(2)
Pox(1)=cords(1)
LEFTV(1:nof_variables)=CLEFT(1:nof_variables)
B_CODE=ibound(n,ielem(n,i)%ibounds(l))%icode
CALL BOUNDARYS2d(N,B_CODE,ICONSIDERED)
cright(1:nof_Variables)=rightv(1:nof_Variables)
KAS=2
END IF
ELSE
CRIGHT(1:nof_Variables)=U_C(IELEM(N,I)%INEIGH(L))%VAL(1,1:nof_Variables)
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=U_CT(IELEM(N,I)%INEIGH(L))%VAL(1,1:turbulenceequations+PASSIVESCALAR)
END IF
KAS=3
END IF
ELSE !IN OTHER CPUS THEY CAN ONLY BE PERIODIC OR MPI NEIGHBOURS
IF (IELEM(N,I)%IBOUNDS(L).GT.0)THEN !CHECK FOR BOUNDARIES
if (ibound(n,ielem(n,i)%ibounds(L))%icode.eq.5)then !PERIODIC IN OTHER CPU
IF (FASTEST.EQ.1)THEN
CRIGHT(1:nof_Variables)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),1:nof_Variables)
ELSE
CRIGHT(1:nof_Variables)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),1:nof_Variables)
END IF
KAS=4
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
IF (FASTEST.EQ.1)THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL&
(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),5:4+TURBULENCEEQUATIONS+PASSIVESCALAR)
ELSE
CTURBR(1:turbulenceequations+PASSIVESCALAR)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),5:4+TURBULENCEEQUATIONS+PASSIVESCALAR)
END IF
END IF
END IF
ELSE
KAS=5
IF (FASTEST.EQ.1)THEN
CRIGHT(1:nof_Variables)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),1:nof_Variables)
ELSE
CRIGHT(1:nof_Variables)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),1:nof_Variables)
END IF
IF ((TURBULENCE.EQ.1).OR.(PASSIVESCALAR.GT.0))THEN
IF (FASTEST.EQ.1)THEN
CTURBR(1:turbulenceequations+PASSIVESCALAR)=SOLCHANGER(IELEM(N,I)%INEIGHN(l))%SOL&
(IELEM(N,i)%Q_FACE(l)%Q_MAPL(1),5:4+TURBULENCEEQUATIONS+PASSIVESCALAR)
ELSE
CTURBR(1:turbulenceequations+PASSIVESCALAR)=IEXSOLHIR(ILOCAL_RECON3(I)%IHEXN(1,IELEM(N,I)%INDEXI(l)))%SOL&
(ILOCAL_RECON3(I)%IHEXL(1,IELEM(N,I)%INDEXI(l)),5:4+TURBULENCEEQUATIONS+PASSIVESCALAR)
END IF
END IF
!
END IF
END IF
CALL ROTATEF2D(N,TRI,CRIGHT_ROT,CRIGHT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEF2D(N,TRI,CLEFT_ROT,CLEFT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
IF ((LMACH.EQ.1))THEN !application of the low mach number correction
LEFTV(1:nof_Variables)=CLEFT_ROT(1:nof_Variables); RIGHTV(1:nof_Variables)=CRIGHT_ROT(1:nof_Variables)
CALL LMACHT2d(N)
CLEFT_ROT(1:nof_Variables)=LEFTV(1:nof_Variables);CRIGHT_ROT(1:nof_Variables)=RIGHTV(1:nof_Variables);
CALL ROTATEb2D(N,invTRI,CRIGHT,CRIGHT_ROT,ANGLE1,ANGLE2) !rotate wrt to normalvector of face and solve 1D Riemann problem
CALL ROTATEb2D(N,invTRI,CLEFT,CLEFT_ROT,ANGLE1,ANGLE2)
END IF
LEFTV(1:nof_Variables)=CLEFT(1:nof_Variables);RIGHTV(1:nof_Variables)=CRIGHT(1:nof_Variables)
CALL CONS2PRIM2D2(N)
ASOUND1=SQRT(LEFTV(4)*GAMMA/LEFTV(1))+abs(CLEFT_ROT(2)/CLEFT_ROT(1))
ASOUND2=SQRT(RIGHTV(4)*GAMMA/RIGHTV(1))+abs(Cright_ROT(2)/Cright_ROT(1))
VPP=MAX(ASOUND1,ASOUND2)
IF (ITESTCASE.EQ.4)THEN
CALL SUTHERLAND2D(N,LEFTV,RIGHTV)
viscots=(VISCL(1)+VISCL(2))*OO2
mul1=IELEM(N,I)%SURF(L)
! viscots=viscots/((0.5*(cleft(1)+cRIGHT(1)))*ielem(n,i)%dih(l))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*mul1&
/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))&
*viscots*mul1/(ielem(n,i)%dih(l)*prandtl)))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=CTURBL(1); TURBMV(2)=CTURBR(1);eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
Call EDDYVISCO2d(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
IF (TURBULENCEMODEL.EQ.2)THEN
EDDYFL(1)=IELEM(N,I)%WALLDIST;EDDYFL(2)=CTURBL(1);EDDYFL(3)=CTURBL(2)
EDDYFL(4:5)= ILOCAL_RECON3(I)%GRADs(1,1:2);EDDYFL(6:7)=ILOCAL_RECON3(I)%GRADs(2,1:2)
EDDYFL(8:9)=ILOCAL_RECON3(I)%GRADs(4,1:2)
EDDYFL(10:11)=ILOCAL_RECON3(I)%GRADs(5,1:2)
eddyfr=eddyfl
Call EDDYVISCO2d(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
END IF
VISCOTS=OO2*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
! viscots=viscots/((0.5*(cleft(1)+cRIGHT(1)))*ielem(n,i)%dih(l))
viscots=max((4.0/(3.0*0.5*(cleft(1)+cRIGHT(1))))*viscots*&
mul1/ielem(n,i)%dih(l),((gamma/(0.5*(cleft(1)+cRIGHT(1))))*&
viscots*mul1/(ielem(n,i)%dih(l)*(prandtl+prtu))))
VPP=MAX(ASOUND1,ASOUND2)+VISCOTS
END IF
IMPDIAG(i,1:nof_Variables,1:nof_Variables)=IMPDIAG(i,1:nof_Variables,1:nof_Variables)+(OO2*((vpp*identity1))*MUL1)
CALL COMPUTE_JACOBIANSE2D(N,EIGVL,Cright,GAMMA,ANGLE1,ANGLE2)
convj=eigvl
IMPOFF(i,l,1:nof_Variables,1:nof_Variables)=IMPOFF(i,l,1:nof_Variables,1:nof_Variables)+(((OO2*CONVJ(1:nof_Variables,1:nof_Variables))&
-((OO2*vpp)*IDENTITY1))*MUL1)
if ((turbulence.eq.1).or.(passivescalar.gt.0))then
if (turbulence.eq.1)then
do nvar=1,turbulenceequations
vpp=MAX(ASOUND1,ASOUND2)+viscots
!
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(((OO2*vpp))*mul1)
end do
end if
if (passivescalar.gt.0)then
do nvar=turbulenceequations+1,turbulenceequations+passivescalar
VISCL(1)=VISCL(1)/SCHMIDT_LAM
VISCL(2)=VISCL(2)/SCHMIDT_LAM
if (turbulence.eq.1)then
VISCL(3)=VISCL(3)/SCHMIDT_TURB
VISCL(4)=VISCL(4)/SCHMIDT_TURB
viscots=0.5*((viscl(1)+viscl(3))+(viscl(2)+viscl(4)))
else
viscots=0.5*((viscl(1)+viscl(2)))
end if
VISCOTS=(2.0*VISCOTS)/((cleft(1)+cRIGHT(1))*IELEM(N,I)%DIH(L))
vpp=MAX(ASOUND1,ASOUND2)+viscots
impdiagt(i,nvar)=impdiagt(i,nvar)+(OO2*((vpp))*MUL1)
IMPOFFt(i,l,nvar)=impofft(i,l,nvar)-(OO2*((vpp))*MUL1)
end do
end if