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LB_PROCEDURES.F95
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MODULE LB_PROCEDURES
USE RCIMAGEIO
IMPLICIT NONE
TYPE BOUNDARY_CONDITIONS
LOGICAL :: PERIODIC_X, PERIODIC_Y, FIXED_X, FIXED_Y
END TYPE
CONTAINS
!-------------------------------------------------------------------------------
SUBROUTINE ALLOCATE_DATA(DOMAIN, DOMAIN_2, SOLID_VOXELS, B_CONDS, IS_SOLID,&
M, N, NUM_SOLIDS, INPUT, RELAX, END_TIME)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(OUT) :: DOMAIN, DOMAIN_2
INTEGER, ALLOCATABLE, DIMENSION(:,:), INTENT(OUT) :: SOLID_VOXELS
TYPE (BOUNDARY_CONDITIONS), INTENT(OUT) :: B_CONDS
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(OUT) :: IS_SOLID
INTEGER, INTENT(OUT) :: M, N, NUM_SOLIDS, END_TIME
TYPE(RGBIMAGE), INTENT(OUT) :: INPUT
DOUBLE PRECISION, INTENT(OUT) :: RELAX
INTEGER :: ROW, COL
OPEN(UNIT=1,FILE='geometry.ppm',STATUS='OLD')
CALL READ_PPM(1, INPUT)
CLOSE(UNIT=1)
N = INPUT%WIDTH
M = INPUT%HEIGHT
! ALLOCATE THE SIMULATION DOMAIN INCLUDING GHOST POINTS
ALLOCATE(DOMAIN(0:8,0:M+1,0:N+1))
ALLOCATE(DOMAIN_2(0:8,0:M+1,0:N+1))
ALLOCATE(IS_SOLID(M,N))
NUM_SOLIDS = 0
! SEARCH FOR AND COUNT ALL ELEMENTS FROM THE INPUT GEOMETRY
DO COL = 1, N
DO ROW = 1, M
IS_SOLID(ROW,COL) = .FALSE.
IF (INPUT%RED(COL,ROW) == 0 .AND. &
INPUT%GREEN(COL,ROW) == 0 .AND. &
INPUT%BLUE(COL,ROW) == 0 ) THEN
NUM_SOLIDS = NUM_SOLIDS + 1
IS_SOLID(ROW,COL) = .TRUE.
END IF
END DO
END DO
PRINT *, NUM_SOLIDS
! ALLOCATE THE INDEX OF ALL SOLID ELEMENTS IN THE SIMULATION
ALLOCATE(SOLID_VOXELS(NUM_SOLIDS,2))
! SEARCH FOR AND STORE COORDINATES OF ALL ELEMENTS FROM THE INPUT GEOMETRY
NUM_SOLIDS = 0
DO COL = 1, N
DO ROW = 1, M
IF (IS_SOLID(ROW,COL)) THEN
NUM_SOLIDS = NUM_SOLIDS + 1
SOLID_VOXELS(NUM_SOLIDS,1) = ROW
SOLID_VOXELS(NUM_SOLIDS,2) = COL
END IF
END DO
END DO
OPEN(UNIT=1,FILE='input',STATUS='OLD')
! SKIP TITLES IN INPUT FILE
READ(UNIT=1,FMT=*)
READ(UNIT=1,FMT=*) B_CONDS%PERIODIC_X, B_CONDS%PERIODIC_Y, &
B_CONDS%FIXED_X, B_CONDS%FIXED_Y
READ(UNIT=1,FMT=*)
READ(UNIT=1,FMT=*) RELAX
READ(UNIT=1,FMT=*)
READ(UNIT=1,FMT=*) END_TIME
CLOSE(UNIT=1)
END SUBROUTINE ALLOCATE_DATA
!-------------------------------------------------------------------------------
SUBROUTINE INITIALISE_VALUES(DOMAIN, DOMAIN_2, SOLID_VOXELS, NUM_SOLIDS)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN, &
DOMAIN_2
INTEGER, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: SOLID_VOXELS
INTEGER, INTENT(IN) :: NUM_SOLIDS
INTEGER :: I, J
CALL RANDOM_NUMBER(DOMAIN)
DOMAIN = 3*(DOMAIN)
! CALL RANDOM_NUMBER(DOMAIN(:,:,:))
! DOMAIN = 2.0
DO I = 1, NUM_SOLIDS
DO J = 1, 9
DOMAIN(J,SOLID_VOXELS(I,1),SOLID_VOXELS(I,2)) = 0
DOMAIN_2(J,SOLID_VOXELS(I,1),SOLID_VOXELS(I,2)) = 0
END DO
END DO
END SUBROUTINE INITIALISE_VALUES
!-------------------------------------------------------------------------------
SUBROUTINE ACCELERATE_FLOW(DOMAIN, M, IS_SOLID)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN
INTEGER, INTENT(IN) :: M
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: IS_SOLID
INTEGER :: I
DOUBLE PRECISION :: X = 1E-1
DO I = 1, M
IF (.NOT. IS_SOLID(I,1)) THEN
! IF (DOMAIN(2,I,1) - X .GT. 0) THEN
! DOMAIN(2,I,1) = DOMAIN(2,I,1) - X
! DOMAIN(7,I,1) = DOMAIN(7,I,1) + X
! END IF
! IF (DOMAIN(1,I,1) - X .GT. 0) THEN
! DOMAIN(1,I,1) = DOMAIN(1,I,1) - X
! DOMAIN(8,I,1) = DOMAIN(8,I,1) + X
! END IF
! IF (DOMAIN(3,I,1) - X .GT. 0) THEN
! DOMAIN(3,I,1) = DOMAIN(3,I,1) - X
! DOMAIN(6,I,1) = DOMAIN(6,I,1) + X
! END IF
X = SUM(DOMAIN(:,I,1))
DOMAIN(0,I,1) = X/18.0
DOMAIN(1,I,1) = X/18.0
DOMAIN(2,I,1) = X/18.0
DOMAIN(3,I,1) = X/18.0
DOMAIN(4,I,1) = X/18.0
DOMAIN(5,I,1) = X/18.0
DOMAIN(6,I,1) = 3.0*X/18.0
DOMAIN(7,I,1) = 6.0*X/18.0
DOMAIN(8,I,1) = 3.0*X/18.0
END IF
END DO
END SUBROUTINE ACCELERATE_FLOW
!-------------------------------------------------------------------------------
SUBROUTINE ADVECTION (DOMAIN, DOMAIN_2, IS_SOLID, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN, &
DOMAIN_2
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: IS_SOLID
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
! CURRENT VALUES IN THE DOMAIN ARE SHIFTED BY ONE. SOME OF THESE VALUES MOVE
! INTO THE GHOSTPOINTS SURROUNDING THE DOMAIN. THEY WILL BE CAPTURED IN THE
! 'ENFORCE_BOUNDARIES()' SUBROUTINE DEPENDING ON THE BOUNDARY CONDITIONS
! SPECIFIED IN THE INPUT
DO COL = 1, N
DO ROW = 1, M
IF(IS_SOLID(ROW,COL)) THEN
CYCLE
END IF
DOMAIN_2(1,ROW-1,COL-1) = DOMAIN(1,ROW,COL)
DOMAIN_2(2,ROW,COL-1) = DOMAIN(2,ROW,COL)
DOMAIN_2(3,ROW+1,COL-1) = DOMAIN(3,ROW,COL)
DOMAIN_2(4,ROW-1,COL) = DOMAIN(4,ROW,COL)
DOMAIN_2(5,ROW+1,COL) = DOMAIN(5,ROW,COL)
DOMAIN_2(6,ROW-1,COL+1) = DOMAIN(6,ROW,COL)
DOMAIN_2(7,ROW,COL+1) = DOMAIN(7,ROW,COL)
DOMAIN_2(8,ROW+1,COL+1) = DOMAIN(8,ROW,COL)
END DO
END DO
END SUBROUTINE ADVECTION
!-------------------------------------------------------------------------------
SUBROUTINE REFLECTION(DOMAIN_2, SOLID_VOXELS, NUM_SOLIDS)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: SOLID_VOXELS
INTEGER, INTENT(IN) :: NUM_SOLIDS
INTEGER :: I, ROW, COL
! ALL VALUES THAT HAVE BEEN ADVECTED INTO ELEMENTS OF THE GEOMETRY ARE
! RETURNED TO THE ELEMENT THEY CAME FROM. HOWEVER WITH OPPOSITE MOMENTA
DO I = 1, NUM_SOLIDS
ROW = SOLID_VOXELS(I,1)
COL = SOLID_VOXELS(I,2)
DOMAIN_2(8,ROW+1,COL+1) = DOMAIN_2(1,ROW,COL)
DOMAIN_2(7,ROW,COL+1) = DOMAIN_2(2,ROW,COL)
DOMAIN_2(6,ROW-1,COL+1) = DOMAIN_2(3,ROW,COL)
DOMAIN_2(5,ROW+1,COL) = DOMAIN_2(4,ROW,COL)
DOMAIN_2(4,ROW-1,COL) = DOMAIN_2(5,ROW,COL)
DOMAIN_2(3,ROW+1,COL-1) = DOMAIN_2(6,ROW,COL)
DOMAIN_2(2,ROW,COL-1) = DOMAIN_2(7,ROW,COL)
DOMAIN_2(1,ROW-1,COL-1) = DOMAIN_2(8,ROW,COL)
! DOMAIN_2(:,ROW,COL) = 0
END DO
END SUBROUTINE REFLECTION
!-------------------------------------------------------------------------------
SUBROUTINE ENFORCE_BOUNDARIES(DOMAIN_2, M, N, B_CONDS)
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
TYPE (BOUNDARY_CONDITIONS), INTENT(IN) :: B_CONDS
! CASE DISTINCTIONS ARE MADE FOR DIFFERENT BOUNDARY CONDITIONS
! PRIMARILY FOR DEALING WITH THE CORNER CASE
!
! BOTH SPACIAL DIMENSIONS ARE PERIODIC
IF (B_CONDS%PERIODIC_X .AND. B_CONDS%PERIODIC_Y) THEN
CALL PERIODIC_BOUNDARIES(DOMAIN_2, M, N)
! X DIMENSION IS PERIODIC, Y DIMENSION IS FIXED
ELSE IF (B_CONDS%PERIODIC_X .AND. B_CONDS%FIXED_Y) THEN
CALL PERIODIC_X(DOMAIN_2, M, N)
! Y DIMENSION IS PERIODIC, X DIMENSION IS FIXED
ELSE IF (B_CONDS%PERIODIC_Y .AND. B_CONDS%FIXED_X) THEN
CALL PERIODIC_Y(DOMAIN_2, M, N)
! NEITHER DIMENSION IS PERIODIC
ELSE IF (B_CONDS%FIXED_X .AND. B_CONDS%FIXED_Y) THEN
CALL SOLID_BOUNDARIES(DOMAIN_2, M, N)
! Y DIMENSION IS FIXED
ELSE IF (B_CONDS%FIXED_Y) THEN
CALL SOLID_Y(DOMAIN_2, M, N)
END IF
END SUBROUTINE ENFORCE_BOUNDARIES
!-------------------------------------------------------------------------------
SUBROUTINE UPDATE_BUFFER(DOMAIN, DOMAIN_2, TEMP)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN, &
DOMAIN_2, TEMP
! THIS SUBROUTINE IS CALLED AFTER THE 2ND BUFFER 'DOMAIN_2' HAS BEEN
! COMPLETELY UPDATED FOR THE NEXT TIME STEP. THEN THE 1ST BUFFER 'DOMAIN' IS
! POINTED TO THE UPDATED VALUES FOR THE NEXT ITERATION OF THE TIME LOOP
TEMP => DOMAIN
DOMAIN => DOMAIN_2
DOMAIN_2 => TEMP
END SUBROUTINE UPDATE_BUFFER
!-------------------------------------------------------------------------------
SUBROUTINE PERIODIC_BOUNDARIES(DOMAIN_2, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
! EXCHANGE CORNER GHOSTPOINTS
DOMAIN_2(1,M,N) = DOMAIN_2(1,0,0)
DOMAIN_2(3,M,1) = DOMAIN_2(3,0,N+1)
DOMAIN_2(6,1,N) = DOMAIN_2(6,M+1,0)
DOMAIN_2(8,1,1) = DOMAIN_2(8,M+1,N+1)
! PERIODIC GHOSTPOINT EXCHANGE
DO COL = 1, N
DOMAIN_2(8,1,COL) = DOMAIN_2(8,M+1,COL)
DOMAIN_2(5,1,COL) = DOMAIN_2(5,M+1,COL)
DOMAIN_2(3,1,COL) = DOMAIN_2(3,M+1,COL)
DOMAIN_2(6,M,COL) = DOMAIN_2(6,0,COL)
DOMAIN_2(4,M,COL) = DOMAIN_2(4,0,COL)
DOMAIN_2(1,M,COL) = DOMAIN_2(1,0,COL)
END DO
DO ROW = 1, M
DOMAIN_2(8,ROW,1) = DOMAIN_2(8,ROW,N+1)
DOMAIN_2(7,ROW,1) = DOMAIN_2(7,ROW,N+1)
DOMAIN_2(6,ROW,1) = DOMAIN_2(6,ROW,N+1)
DOMAIN_2(1,ROW,N) = DOMAIN_2(1,ROW,0)
DOMAIN_2(2,ROW,N) = DOMAIN_2(2,ROW,0)
DOMAIN_2(3,ROW,N) = DOMAIN_2(3,ROW,0)
END DO
END SUBROUTINE PERIODIC_BOUNDARIES
!-------------------------------------------------------------------------------
SUBROUTINE PERIODIC_X(DOMAIN_2, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
! CORNERS ARE SOLID
! PERIODIC GHOSTPOINT EXCHANGE
DO ROW = 1, M
DOMAIN_2(8,ROW,1) = DOMAIN_2(8,ROW,N+1)
DOMAIN_2(7,ROW,1) = DOMAIN_2(7,ROW,N+1)
DOMAIN_2(6,ROW,1) = DOMAIN_2(6,ROW,N+1)
DOMAIN_2(1,ROW,N) = DOMAIN_2(1,ROW,0)
DOMAIN_2(2,ROW,N) = DOMAIN_2(2,ROW,0)
DOMAIN_2(3,ROW,N) = DOMAIN_2(3,ROW,0)
END DO
! WALL INTERACTION
DO COL = 1, N
DOMAIN_2(8,1,COL) = DOMAIN_2(1,0,COL-1)
DOMAIN_2(5,1,COL) = DOMAIN_2(4,0,COL)
DOMAIN_2(3,1,COL) = DOMAIN_2(6,0,COL+1)
DOMAIN_2(6,M,COL) = DOMAIN_2(3,M+1,COL-1)
DOMAIN_2(4,M,COL) = DOMAIN_2(5,M+1,COL)
DOMAIN_2(1,M,COL) = DOMAIN_2(8,M+1,COL+1)
END DO
END SUBROUTINE PERIODIC_X
!-------------------------------------------------------------------------------
SUBROUTINE PERIODIC_Y(DOMAIN_2, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
! CORNERS ARE SOLID
! PERIODIC GHOSTPOINT EXCHANGE
DO COL = 1, N
DOMAIN_2(8,1,COL) = DOMAIN_2(8,M+1,COL)
DOMAIN_2(5,1,COL) = DOMAIN_2(5,M+1,COL)
DOMAIN_2(3,1,COL) = DOMAIN_2(3,M+1,COL)
DOMAIN_2(6,M,COL) = DOMAIN_2(6,0,COL)
DOMAIN_2(4,M,COL) = DOMAIN_2(4,0,COL)
DOMAIN_2(1,M,COL) = DOMAIN_2(1,0,COL)
END DO
! WALL INTERACTION
DO ROW = 1, M
DOMAIN_2(6,ROW,1) = DOMAIN_2(3,ROW+1,0)
DOMAIN_2(7,ROW,1) = DOMAIN_2(2,ROW,0)
DOMAIN_2(8,ROW,1) = DOMAIN_2(1,ROW-1,0)
DOMAIN_2(1,ROW,N) = DOMAIN_2(8,ROW+1,N+1)
DOMAIN_2(2,ROW,N) = DOMAIN_2(7,ROW,N+1)
DOMAIN_2(3,ROW,N) = DOMAIN_2(6,ROW-1,N+1)
END DO
END SUBROUTINE PERIODIC_Y
!-------------------------------------------------------------------------------
SUBROUTINE SOLID_BOUNDARIES(DOMAIN_2, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
! WALL INTERACTION
DO COL = 1, N
DOMAIN_2(8,1,COL) = DOMAIN_2(1,0,COL-1)
DOMAIN_2(5,1,COL) = DOMAIN_2(4,0,COL)
DOMAIN_2(3,1,COL) = DOMAIN_2(6,0,COL+1)
DOMAIN_2(6,M,COL) = DOMAIN_2(3,M+1,COL-1)
DOMAIN_2(4,M,COL) = DOMAIN_2(5,M+1,COL)
DOMAIN_2(1,M,COL) = DOMAIN_2(8,M+1,COL+1)
END DO
DO ROW = 1, M
DOMAIN_2(6,ROW,1) = DOMAIN_2(3,ROW+1,0)
DOMAIN_2(7,ROW,1) = DOMAIN_2(2,ROW,0)
DOMAIN_2(8,ROW,1) = DOMAIN_2(1,ROW-1,0)
DOMAIN_2(1,ROW,N) = DOMAIN_2(8,ROW+1,N+1)
DOMAIN_2(2,ROW,N) = DOMAIN_2(7,ROW,N+1)
DOMAIN_2(3,ROW,N) = DOMAIN_2(6,ROW-1,N+1)
END DO
END SUBROUTINE SOLID_BOUNDARIES
!-------------------------------------------------------------------------------
SUBROUTINE SOLID_Y(DOMAIN_2, M, N)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN_2
INTEGER, INTENT(IN) :: M, N
INTEGER :: ROW, COL
DO ROW = 1, M
DOMAIN_2(6,ROW,1) = DOMAIN_2(3,ROW+1,0)
DOMAIN_2(7,ROW,1) = DOMAIN_2(2,ROW,0)
DOMAIN_2(8,ROW,1) = DOMAIN_2(1,ROW-1,0)
DOMAIN_2(1,ROW,N) = DOMAIN_2(8,ROW+1,N+1)
DOMAIN_2(2,ROW,N) = DOMAIN_2(7,ROW,N+1)
DOMAIN_2(3,ROW,N) = DOMAIN_2(6,ROW-1,N+1)
END DO
END SUBROUTINE SOLID_Y
!-------------------------------------------------------------------------------
SUBROUTINE COLLISION(DOMAIN, IS_SOLID, M, N, RELAX)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(INOUT) :: DOMAIN
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: IS_SOLID
INTEGER, INTENT(IN) :: M, N
DOUBLE PRECISION, INTENT(IN) :: RELAX
DOUBLE PRECISION, DIMENSION(0:8) :: TP, EQUI
DOUBLE PRECISION :: VEL_X, VEL_Y, DENSITY, CS = 1.0/3.0
DOUBLE PRECISION :: COMMON_VAL, DENOM, THREE
INTEGER :: ROW, COL, I
TP(0) = 4.0/9.0
TP(1) = 1.0/36.0
TP(2) = 1.0/9.0
TP(3) = 1.0/36.0
TP(4) = 1.0/9.0
TP(5) = 1.0/9.0
TP(6) = 1.0/36.0
TP(7) = 1.0/9.0
TP(8) = 1.0/36.0
DENOM = 1.0/(2*CS*CS)
THREE = 1.0/CS
DO COL = 1, N
DO ROW = 1, M
IF(IS_SOLID(ROW,COL)) THEN
CYCLE
END IF
DENSITY = SUM(DOMAIN(:,ROW,COL))
VEL_X = (-DOMAIN(1,ROW,COL)-DOMAIN(2,ROW,COL)-DOMAIN(3,ROW,COL) &
+ DOMAIN(6,ROW,COL)+DOMAIN(7,ROW,COL)+DOMAIN(8,ROW,COL)) &
/ DENSITY
VEL_Y = (DOMAIN(1,ROW,COL)-DOMAIN(3,ROW,COL)+DOMAIN(4,ROW,COL) &
-DOMAIN(5,ROW,COL)+DOMAIN(6,ROW,COL)-DOMAIN(8,ROW,COL)) &
/ DENSITY
COMMON_VAL = - (VEL_X*VEL_X + VEL_Y*VEL_Y)*THREE*0.5
EQUI(0) = TP(0)*DENSITY*(1 + COMMON_VAL)
! -(VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(1) = TP(1)*DENSITY*(1 + ((-VEL_X + VEL_Y)*THREE) &
+ (-VEL_X+VEL_Y)*(-VEL_X+VEL_Y)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(2) = TP(2)*DENSITY*(1 + (-VEL_X*THREE)+ (VEL_X*VEL_X)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(3) = TP(3)*DENSITY*(1 + ((-VEL_X - VEL_Y)*THREE) &
+ (-VEL_X-VEL_Y)*(-VEL_X-VEL_Y)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(4) = TP(4)*DENSITY*(1 + ((VEL_Y)*THREE)+ (VEL_Y*VEL_Y)*DENOM &
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
+ COMMON_VAL)
EQUI(5) = TP(5)*DENSITY*(1 + (-VEL_Y*THREE)+ (VEL_Y*VEL_Y)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(6) = TP(6)*DENSITY*(1 + ((VEL_X + VEL_Y)*THREE) &
+ (VEL_X+VEL_Y)*(VEL_X+VEL_Y)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(7) = TP(7)*DENSITY*(1 + (VEL_X*THREE) + (VEL_X*VEL_X)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
EQUI(8) = TP(8)*DENSITY*(1 + ((VEL_X - VEL_Y)*THREE) &
+ (VEL_X-VEL_Y)*(VEL_X-VEL_Y)*DENOM &
+ COMMON_VAL)
! - (VEL_X*VEL_X + VEL_Y*VEL_Y)/(2*CS))
DO I = 0, 8
!DO WHILE (DOMAIN(I,ROW,COL) + &
! EFF_OMEGA*(EQUI(I) - DOMAIN(I,ROW,COL)) < 0 &
! .AND. EFF_OMEGA > 1E-2)
! EFF_OMEGA = EFF_OMEGA / 2.0
!END DO
DOMAIN(I,ROW,COL) = DOMAIN(I,ROW,COL) + &
RELAX*(EQUI(I) - DOMAIN(I,ROW,COL))
!EFF_OMEGA = RELAX
IF (DOMAIN(I,ROW,COL) < 0) THEN
DOMAIN(I,ROW,COL) = 0
END IF
END DO
END DO
END DO
END SUBROUTINE COLLISION
!-------------------------------------------------------------------------------
SUBROUTINE PRINT_DENSITY(DOMAIN, IS_SOLID, M, N, FILE_NUMBER, DENSITY_IMAGE)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(IN) :: DOMAIN
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: IS_SOLID
INTEGER, INTENT(IN) :: M, N, FILE_NUMBER
TYPE(RGBIMAGE), INTENT(OUT) :: DENSITY_IMAGE
DOUBLE PRECISION, DIMENSION(M,N) :: DENSITY
INTEGER :: ROW, COL, TEMP_1, TEMP_2
DOUBLE PRECISION :: INTERPOLANT, MAXIMUM = 0
CHARACTER(LEN=32) :: FILENAME
DO COL = 1, N
DO ROW = 1, M
DENSITY(ROW,COL) = SUM(DOMAIN(:,ROW,COL))
IF (DENSITY(ROW,COL) > MAXIMUM) THEN
MAXIMUM = DENSITY(ROW,COL)
END IF
END DO
END DO
DO ROW = 1, M
DO COL = 1, N
INTERPOLANT = (EXP(-(DENSITY(ROW,COL)/7.0)))*5
TEMP_1 = FLOOR(INTERPOLANT)
TEMP_2 = FLOOR(255*(INTERPOLANT-TEMP_1))
SELECT CASE (TEMP_1)
CASE (0)
DENSITY_IMAGE%RED(COL,ROW) = 255
DENSITY_IMAGE%GREEN(COL,ROW) = TEMP_2
DENSITY_IMAGE%BLUE(COL,ROW) = 0
CASE (1)
DENSITY_IMAGE%RED(COL,ROW) = 255 - TEMP_2
DENSITY_IMAGE%GREEN(COL,ROW) = 255
DENSITY_IMAGE%BLUE(COL,ROW) = 0
CASE (2)
DENSITY_IMAGE%RED(COL,ROW) = 0
DENSITY_IMAGE%GREEN(COL,ROW) = 255
DENSITY_IMAGE%BLUE(COL,ROW) = TEMP_2
CASE (3)
DENSITY_IMAGE%RED(COL,ROW) = 0
DENSITY_IMAGE%GREEN(COL,ROW) = 255 - TEMP_2
DENSITY_IMAGE%BLUE(COL,ROW) = 255
CASE (4)
DENSITY_IMAGE%RED(COL,ROW) = TEMP_2
DENSITY_IMAGE%GREEN(COL,ROW) = 0
DENSITY_IMAGE%BLUE(COL,ROW) = 255
CASE (5)
DENSITY_IMAGE%RED(COL,ROW) = 255
DENSITY_IMAGE%GREEN(COL,ROW) = 0
DENSITY_IMAGE%BLUE(COL,ROW) = 255
END SELECT
IF(IS_SOLID(ROW,COL)) THEN
DENSITY_IMAGE%RED(COL,ROW) = 0
DENSITY_IMAGE%GREEN(COL,ROW) = 0
DENSITY_IMAGE%BLUE(COL,ROW) = 0
END IF
END DO
END DO
WRITE (FILENAME, 10) FILE_NUMBER
10 FORMAT ('./img/density', I5.5, '.ppm')
OPEN(UNIT=1, ACCESS='SEQUENTIAL', FILE=FILENAME)
CALL OUTPUT_PPM(1, DENSITY_IMAGE)
CLOSE(UNIT=1)
END SUBROUTINE PRINT_DENSITY
!-------------------------------------------------------------------------------
SUBROUTINE PRINT_VELOCITY(DOMAIN, IS_SOLID, M, N, FILE_NUMBER, VELOCITY_IMAGE)
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(:,:,:), POINTER, INTENT(IN) :: DOMAIN
LOGICAL, ALLOCATABLE, DIMENSION(:,:), INTENT(IN) :: IS_SOLID
INTEGER, INTENT(IN) :: M, N, FILE_NUMBER
TYPE(RGBIMAGE), INTENT(OUT) :: VELOCITY_IMAGE
DOUBLE PRECISION, DIMENSION(M,N) :: VELOCITY
INTEGER :: ROW, COL, TEMP_1, TEMP_2
DOUBLE PRECISION :: INTERPOLANT, VEL_X, VEL_Y, DENSITY, MAXIMUM = 0
CHARACTER(LEN=32) :: FILENAME
DO COL = 1, N
DO ROW = 1, M
DENSITY = SUM(DOMAIN(:,ROW,COL))
VEL_X = (-DOMAIN(1,ROW,COL)-DOMAIN(2,ROW,COL)-DOMAIN(3,ROW,COL) &
+ DOMAIN(6,ROW,COL)+DOMAIN(7,ROW,COL)+DOMAIN(8,ROW,COL)) &
/ DENSITY
VEL_Y = (DOMAIN(1,ROW,COL)-DOMAIN(3,ROW,COL)+DOMAIN(4,ROW,COL) &
-DOMAIN(5,ROW,COL)+DOMAIN(6,ROW,COL)-DOMAIN(8,ROW,COL)) &
/ DENSITY
! IF ((VEL_X .LT. 1E-10) .AND. (VEL_Y .LT. 1E-10)) THEN
! VELOCITY(ROW,COL) = 0
! ELSE
VELOCITY(ROW,COL) = SQRT((VEL_X * VEL_X) + (VEL_Y * VEL_Y))
! END IF
! IF (VELOCITY(ROW,COL) < 1E-10) THEN
! VELOCITY(ROW,COL) = 0
! END IF
! print *,VELOCITY(ROW,COL)
! IF (VELOCITY(ROW,COL) > MAXIMUM) THEN
! MAXIMUM = VELOCITY(ROW,COL)
! print *, MAXIMUM
! END IF
END DO
END DO
DO ROW = 1, M
DO COL = 1, N
! print *,VELOCITY(ROW,COL)
INTERPOLANT = (EXP(-(VELOCITY(ROW,COL)*10)))*5
TEMP_1 = FLOOR(INTERPOLANT)
TEMP_2 = FLOOR(255*(INTERPOLANT-TEMP_1))
SELECT CASE (TEMP_1)
CASE (0)
VELOCITY_IMAGE%RED(COL,ROW) = 255
VELOCITY_IMAGE%GREEN(COL,ROW) = TEMP_2
VELOCITY_IMAGE%BLUE(COL,ROW) = 0
CASE (1)
VELOCITY_IMAGE%RED(COL,ROW) = 255 - TEMP_2
VELOCITY_IMAGE%GREEN(COL,ROW) = 255
VELOCITY_IMAGE%BLUE(COL,ROW) = 0
CASE (2)
VELOCITY_IMAGE%RED(COL,ROW) = 0
VELOCITY_IMAGE%GREEN(COL,ROW) = 255
VELOCITY_IMAGE%BLUE(COL,ROW) = TEMP_2
CASE (3)
VELOCITY_IMAGE%RED(COL,ROW) = 0
VELOCITY_IMAGE%GREEN(COL,ROW) = 255 - TEMP_2
VELOCITY_IMAGE%BLUE(COL,ROW) = 255
CASE (4)
VELOCITY_IMAGE%RED(COL,ROW) = TEMP_2
VELOCITY_IMAGE%GREEN(COL,ROW) = 0
VELOCITY_IMAGE%BLUE(COL,ROW) = 255
CASE (5)
VELOCITY_IMAGE%RED(COL,ROW) = 255
VELOCITY_IMAGE%GREEN(COL,ROW) = 0
VELOCITY_IMAGE%BLUE(COL,ROW) = 255
END SELECT
IF(IS_SOLID(ROW,COL)) THEN
VELOCITY_IMAGE%RED(COL,ROW) = 0
VELOCITY_IMAGE%GREEN(COL,ROW) = 0
VELOCITY_IMAGE%BLUE(COL,ROW) = 0
END IF
END DO
END DO
WRITE (FILENAME, 10) FILE_NUMBER
10 FORMAT ('./img/velocity', I5.5, '.ppm')
OPEN(UNIT=1, ACCESS='SEQUENTIAL', FILE=FILENAME)
CALL OUTPUT_PPM(1, VELOCITY_IMAGE)
CLOSE(UNIT=1)
END SUBROUTINE PRINT_VELOCITY
!-------------------------------------------------------------------------------
END MODULE LB_PROCEDURES