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SUBROUTINE THMPV(SPEED, POULET, VCOOL, DCOOL, PCOOL, TCOOL, MUT, XFL, HD, NZ, HZ, EPS, RHOL, RHOG, VGJ, IDFM, ACOOL)
!
!-----------------------------------------------------------------------
!
!Purpose:
! Update the pressure and velocity vectors in the THM model to model the
! pressure drop and the velocity of the fluid in the channel
!
!Copyright:
! Copyright (C) 2025 Ecole Polytechnique de Montreal
!
!Author(s): C. Huet
! 02/2025: C. Huet - Creation
!
!Parameters: input
! SPEED inlet velocity of the fluid in the channel
! POULET Pressure at the outlet
! VCOOL velocity of the fluid in the channel
! DCOOL density of the fluid in the channel
! PCOOL pressure of the fluid in the channel
! TCOOL temperature of the fluid in the channel
! MUT dynamic viscosity of the fluid in the channel
! XFL quality of the fluid in the channel
! HD hydraulic diameter of the channel
! NZ number of nodes in the channel
! HZ height of the channel
! EPS coolant void fraction in the channel
! RHOL density of the liquid fraction
! RHOG density of the vapour fraction
! VGJ drift velocity in the channel
! IDFM flag for the use of the drift flux model
! ACOOL cross-sectional area of the channel
!
!Parameters: output
! VCOOL velocity of the fluid in the channel
! PCOOL pressure of the fluid in the channel
!
!-----------------------------------------------------------------------
!
USE GANLIB
IMPLICIT NONE
!----
! SUBROUTINE ARGUMENTS
!----
INTEGER NZ, IDFM
REAL SPEED, POULET, VCOOL(NZ), DCOOL(NZ), PCOOL(NZ), TCOOL(NZ), MUT(NZ), XFL(NZ)
REAL HZ(NZ),VGJ(NZ),RHOL(NZ), RHOG(NZ), EPS(NZ), HD(NZ), ACOOL(NZ)
!----
! LOCAL VARIABLES
!----
REAL g
REAL(kind=8), ALLOCATABLE, DIMENSION(:,:) :: A
INTEGER K, I, J, IER
REAL PHIL0, TPMULT, TPMULT0
REAL REY, REY0, FRIC,FRIC0,DELTA, UL
REAL CP11, H11, K11, RHO11, MUL
g = 9.81 !gravity
ALLOCATE(A(2*NZ,2*NZ+1))
FORALL (I=1:2*NZ, J=1:2*NZ+1) A(I, J) = 0.0
!----
! MATRIX FILLING FOR THE PRESSURE AND VELOCITY CALCULATION
!----
! BOTTOM OF THE CHANNEL
!----
PRINT *, 'THMPV: Filling the matrix for pressure and velocity calculation'
PRINT *, 'THMPV: NZ = ', NZ
PRINT *, 'POULET = ', POULET
DO K = 1, NZ
IF (K .EQ. 1) THEN
IF(IDFM.GT.0) THEN
! COMPUTE MUL, UL and Reynolds AT K
CALL THMTX(TCOOL(K), 0.0, RHO11, H11, K11, MUL, CP11)
UL = VCOOL(K) - (EPS(K) / (1.0 - EPS(K)))*RHOG(K)/DCOOL(K) * VGJ(K)
REY0 = ABS(UL*RHOL(K)) * HD(K) / MUL
! COMPUTE MUL, UL and Reynolds AT K+1
CALL THMTX(TCOOL(K+1), 0.0, RHO11, H11, K11, MUL, CP11)
UL = VCOOL(K+1) - (EPS(K+1) / (1.0 - EPS(K+1)))*RHOG(K+1)/DCOOL(K+1) * VGJ(K+1)
REY = ABS(UL*RHOL(K+1)) * HD(K+1) / MUL
ELSE
REY = ABS(VCOOL(K+1)*DCOOL(K+1)) * (1.0 - XFL(K+1)) * HD(K+1) / MUT(K+1)
REY0 = ABS(VCOOL(K)*DCOOL(K)) * (1.0 - XFL(K)) * HD(K) / MUT(K)
ENDIF
CALL THMFRI(REY,EPS(K+1),HD(K+1),FRIC)!MUT à isoler vapeur/liquide : passer par THMTX(TCOOL, X=0)
CALL THMFRI(REY0,EPS(K),HD(K),FRIC0)
IF (XFL(K) .GT. 0.0) THEN
CALL THMPLO(PCOOL(K), XFL(K), PHIL0)
TPMULT0 = PHIL0
CALL THMPLO(PCOOL(K+1), XFL(K+1), PHIL0)
TPMULT = PHIL0
ELSE
TPMULT = 1.0
TPMULT0 = 1.0
ENDIF
A(1,1) = 1.0
! MOMENTUM CONSERVATION EQUATION
IF (IDFM .GT. 0) THEN
DELTA = ((EPS(K)/1-EPS(K))*RHOL(K)*RHOG(K)/DCOOL(K)*VGJ(K)**2) - &
((EPS(K+1)/1-EPS(K+1))*RHOL(K+1)*RHOG(K+1)/DCOOL(K+1)*VGJ(K+1)* &
ACOOL(K+1)/ACOOL(K)**2)
ELSE
DELTA = 0.0
ENDIF
A(K+NZ,K) = - (VCOOL(K)*DCOOL(K))*(1.0 - (TPMULT0*FRIC0*HZ(K))/(2.0*HD(K)))
A(K+NZ,K+1) = (VCOOL(K+1)*DCOOL(K+1))*(1.0 + (TPMULT*FRIC*HZ(K))/ &
(2.0*HD(K+1)))*ACOOL(K+1)/ACOOL(K)
A(K+NZ, 2*NZ+1) = - ((DCOOL(K+1)* HZ(K+1)*ACOOL(K+1)/ACOOL(K) + DCOOL(K)* HZ(K)) &
* g ) /2 + DELTA
A(K+NZ,K-1+NZ) = 0.0
A(K+NZ,K+NZ) = -1.0
A(K+NZ,K+1+NZ) = ACOOL(K+1)/ACOOL(K)
! MASS CONSERVATION EQUATION
A(1, 2*NZ+1) = SPEED
!----
! TOP OF THE CHANNEL
!----
ELSE IF (K .EQ. NZ) THEN
! MASS CONSERVATION EQUATION
A(K,K-1) = - DCOOL(K-1)*ACOOL(K-1)/ACOOL(K)
A(K,K) = DCOOL(K)
! MOMENTUM CONSERVATION EQUATION
A(K, 2*NZ+1) = 0.0
A(2*NZ, 2*NZ+1) = POULET
A(2*NZ, 2*NZ) = 1.0
!----
! MIDDLE OF THE CHANNEL
!----
ELSE
IF (IDFM.GT.0) THEN
! COMPUTE MUL, UL and Reynolds AT K
CALL THMTX(TCOOL(K), 0.0, RHO11, H11, K11, MUL, CP11)
UL = VCOOL(K) - (EPS(K) / (1.0 - EPS(K)))*RHOG(K)/DCOOL(K) * VGJ(K)
REY0 = ABS(UL*RHOL(K)) * HD(K) / MUL
! COMPUTE MUL, UL and Reynolds AT K+1
CALL THMTX(TCOOL(K+1), 0.0, RHO11, H11, K11, MUL, CP11)
UL = VCOOL(K+1) - (EPS(K+1) / (1.0 - EPS(K+1)))*RHOG(K+1)/DCOOL(K+1) * VGJ(K+1)
REY = ABS(UL*RHOL(K+1)) * HD(K+1) / MUL
ELSE
REY = ABS(VCOOL(K+1)*DCOOL(K+1)) * (1.0 - XFL(K+1)) * HD(K+1) / MUT(K+1)
REY0 = ABS(VCOOL(K)*DCOOL(K)) * (1.0 - XFL(K)) * HD(K) / MUT(K)
ENDIF
CALL THMFRI(REY,EPS(K+1),HD(K+1),FRIC)
CALL THMFRI(REY0,EPS(K),HD(K),FRIC0)
IF (XFL(K) .GT. 0.0) THEN
CALL THMPLO(PCOOL(K+1), XFL(K+1), PHIL0)
TPMULT = PHIL0
CALL THMPLO(PCOOL(K), XFL(K), PHIL0)
TPMULT0 = PHIL0
ELSE
TPMULT = 1.0
TPMULT0 = 1.0
ENDIF
! MASS CONSERVATION EQUATION
A(K,K-1) = - DCOOL(K-1)*ACOOL(K-1)/ACOOL(K)
A(K,K) = DCOOL(K)
A(K,K+1) = 0.0
A(K, 2*NZ+1) = 0.0
!----
! MOMENTUM CONSERVATION EQUATION
!----
IF (IDFM .GT. 0) THEN
DELTA = ((EPS(K)/1-EPS(K))*RHOL(K)*RHOG(K)/DCOOL(K)*VGJ(K)**2) - &
((EPS(K+1)/1-EPS(K+1))*RHOL(K+1)*RHOG(K+1)/DCOOL(K+1)*VGJ(K+1)**2*ACOOL(K+1) &
/ACOOL(K))
ELSE
DELTA = 0.0
ENDIF
A(K+NZ,K) = - (VCOOL(K)*DCOOL(K))*(1.0 - (TPMULT0*FRIC0*HZ(K))/(2.0*HD(K)))
A(K+NZ,K+1) = (VCOOL(K+1)*DCOOL(K+1))*(1.0 + (TPMULT*FRIC*HZ(K))/ &
(2.0*HD(K+1)))*ACOOL(K+1)/ACOOL(K)
A(K+NZ, 2*NZ+1) = - ((DCOOL(K+1)* HZ(K+1)*ACOOL(K+1)/ACOOL(K) + DCOOL(K)* &
HZ(K)) * g ) /2 + DELTA
A(K+NZ,K-1+NZ) = 0.0
A(K+NZ,K+NZ) = -1.0
A(K+NZ,K+1+NZ) = ACOOL(K+1)/ACOOL(K)
ENDIF
END DO
!----
! SOLVING THE LINEAR SYSTEM
!----
call ALSBD(2*NZ, 1, A, IER, 2*NZ)
if (IER /= 0) CALL XABORT('THMPV: SINGULAR MATRIX.')
!----
! RECOVER THE PRESSURE AND VELOCITY VECTORS
!----
DO K = 1, NZ
VCOOL(K) = REAL(A(K, 2*NZ+1))
PCOOL(K) = REAL(A(K+NZ, 2*NZ+1))
END DO
DEALLOCATE(A)
RETURN
END
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