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airfoil.f90
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subroutine MATRIX_PARSEC(myid,zc,yc,AOA, POINT)
implicit none
real*8 :: yc
real*8 :: zc
integer, intent(in) :: myid, AOA, POINT
!---------------------------------------------------!
! LOCAL VARIABLES !
!---------------------------------------------------!
INTEGER,PARAMETER:: N=6,M=6
DOUBLE PRECISION :: PI
DOUBLE PRECISION :: A_UP(N,M),X_UP(N),B_UP(N)
DOUBLE PRECISION :: A_LO(N,M),X_LO(N),B_LO(N)
DOUBLE PRECISION :: P1,P2,P3,P4,P5,P6,P7,P8,P9,P10,P11
DOUBLE PRECISION :: TEMP_UP,TEMP_LO,ANG_UP,ANG_LO
DOUBLE PRECISION :: PARTONE,PARTTWO,PIECES
DOUBLE PRECISION :: Y(1:POINT),X(1:POINT),Z1,Z2
INTEGER :: I,J
CHARACTER(LEN=20) :: POSITIONNAME
!!$ Original value NACA 0012
P1 = 0.0155
P2 = 0.296632
P3 = 0.060015
P4 = -0.4515
P5 = 0.296632
P6 = -0.06055
P7 = 0.453
P8 = 0.00
P9 = 0.00126
P10 = 0.0
P11 = 7.36
POSITIONNAME='NACA0012.DAT'
!------------------UPPER FUNCTION-------------------
A_UP=RESHAPE((/DBLE(1.0),DBLE(1),DBLE(0.5),P2**(0.5),(0.5)*P2**(-0.5),(-0.25)*P2**(-1.5),&
DBLE(0.0),DBLE(1),DBLE(1.5),P2**(1.5),(1.5)*P2**(0.5),(0.75)*P2**(-0.5),&
DBLE(0.0),DBLE(1),DBLE(2.5),P2**(2.5),(2.5)*P2**(1.5),(3.75)*P2**(0.5),&
DBLE(0.0),DBLE(1),DBLE(3.5),P2**(3.5),(3.5)*P2**(2.5),(3.75)*P2**(0.5),& !MODIFIED THE COEFFICIENT
DBLE(0.0),DBLE(1),DBLE(4.5),P2**(4.5),(4.5)*P2**(3.5),(15.75)*P2**(2.5),&
DBLE(0.0),DBLE(1),DBLE(5.5),P2**(5.5),(5.5)*P2**(4.5),(24.75)*P2**(3.5)/),(/N,M/)) ! RESHAPING 6*6
PI=4*ATAN(1.0) !DEFINE 'PI'
ANG_UP=(P10-(P11/2.0))*PI/180 !CONVERT THE ANGLE TO ARC
B_UP=(/(2*P1)**0.5,(P8+(P9/2.0)),TAN(ANG_UP),P3,DBLE(0),P4/) !CONSTANT VALUES !TAN(A),'A' CANNOT BE CALCULATE IN THE MATRIX
!!$ DO I=1,N
!!$ !WRITE(*,*)'MATRIX_B_UP',B_UP(I)
!!$ END DO
!------------------LOWER FUNCTION-------------------
!
A_LO=RESHAPE((/DBLE(1.0),DBLE(1),DBLE(0.5),P5**(0.5),(0.5)*P5**(-0.5),(-0.25)*P5**(-1.5),&
DBLE(0.0),DBLE(1),DBLE(1.5),P5**(1.5),(1.5)*P5**(0.5),(0.75)*P5**(-0.5),&
DBLE(0.0),DBLE(1),DBLE(2.5),P5**(2.5),(2.5)*P5**(1.5),(3.75)*P5**(0.5),&
DBLE(0.0),DBLE(1),DBLE(3.5),P5**(3.5),(3.5)*P5**(2.5),(3.75)*P5**(0.5),&
DBLE(0.0),DBLE(1),DBLE(4.5),P5**(4.5),(4.5)*P5**(3.5),(15.75)*P5**(2.5),&
DBLE(0.0),DBLE(1),DBLE(5.5),P5**(5.5),(5.5)*P5**(4.5),(24.75)*P5**(3.5)/),(/N,M/)) ! RESHAPING IN TO 6*6
ANG_LO=(P10+(P11/2.0))*PI/180 !CONVERT THE ANGLE TO ARC
B_LO=(/-(2*P1)**0.5,(P8-(P9/2.0)),TAN(ANG_LO),P6,DBLE(0),P7/) !CONSTANT VALUES AND TAN(A),'A' CANNOT BE CALCULATE IN THE MATRIX
!------------------------------------GAUSS ELIMINATION
!-----------------------------PART ONE /2ND ROW -------------------------------------------------------------------------------------
DO I=2,N
TEMP_UP = -(A_UP(I,1)/A_UP(1,1))
TEMP_LO = -(A_LO(I,1)/A_LO(1,1))
B_UP(I) = B_UP(I)+TEMP_UP*B_UP(1) !TOTAL MATRIX_B_UP COEFFICIENTS
B_LO(I)= B_LO(I)+TEMP_LO*B_LO(1) !TOTAL MATRIX_B_LO COEFFICIENTS
DO J=1,M
A_UP(I,J)=A_UP(I,J)+TEMP_UP*A_UP(1,J) ! FIRST ROW AND SECOND ROW ADDTION TO CANCEL X1 FROM 2ND ROW
A_LO(I,J)=A_LO(I,J)+TEMP_LO*A_LO(1,J)
!WRITE(*,*)'A_UP(I,J)',A_UP(I,J)
END DO
END DO
DO I=1,N
DO J=1,M
!WRITE(*,*)'MATRIX_A_UP',A_UP(I,J),J
!WRITE(*,*)'MATRIX_A_LO',A_LO(I,J),J
END DO
END DO
DO I=1,N
!WRITE(*,*)'MATRIX_B',B_UP(I)
END DO
!----------------------PART TWO /3RD ROW --------------------------------------------------------------
DO I=3,N
TEMP_UP=-(A_UP(I,2)/A_UP(2,2))
TEMP_LO=-(A_LO(I,2)/A_LO(2,2))
B_UP(I)=B_UP(I)+TEMP_UP*B_UP(2) !TOTAL MATRIX_B_UP COEFFICIENTS
B_LO(I)=B_LO(I)+TEMP_LO*B_LO(2) !TOTAL MATRIX_B_LO COEFFICIENTS
DO J=2,M
A_UP(I,J)=A_UP(I,J)+TEMP_UP*A_UP(2,J) ! FIRST ROW AND THIRD ROW ADDTION TO CANCEL X1 FROM 3RD ROW
A_LO(I,J)=A_LO(I,J)+TEMP_LO*A_LO(2,J)
!WRITE(*,*)'A_UP(I,J)',A_UP(I,J)
END DO
END DO
DO I=1,N
DO J=1,M
!WRITE(*,*)'MATRIX_A_UP',A_UP(I,J),J
!WRITE(*,*)'MATRIX_A_LO',A_LO(I,J),J
END DO
END DO
!---------------------PART THREE/ 4TH ROW ---------------------------------------------------------------
DO I=4,N
TEMP_UP=-(A_UP(I,3)/A_UP(3,3))
TEMP_LO=-(A_LO(I,3)/A_LO(3,3))
B_UP(I)=B_UP(I)+TEMP_UP*B_UP(3) !TOTAL MATRIX_B_UP COEFFICIENTS
B_LO(I)=B_LO(I)+TEMP_LO*B_LO(3) !TOTAL MATRIX_B_LO COEFFICIENTS
DO J=3,M
A_UP(I,J)=A_UP(I,J)+TEMP_UP*A_UP(3,J)
A_LO(I,J)=A_LO(I,J)+TEMP_LO*A_LO(3,J) !FIRST ROW AND FOURTH ROW ADDTION TO CANCEL X1 FROM 4TH ROW
!WRITE(*,*)'A_UP(I,J)',A_UP(I,J)
END DO
END DO
DO I=1,N
DO J=1,M
!WRITE(*,*)'MATRIX_A_UP',A_UP(I,J),J
!WRITE(*,*)'MATRIX_A_LO',A_LO(I,J),J
END DO
END DO
DO I=1,N
!WRITE(*,*)'MATRIX_B',B_UP(I)
END DO
!---------------------PART FOUR/5TH ROW ---------------------------------------------------------------
DO I=5,N
TEMP_UP=-(A_UP(I,4)/A_UP(4,4))
TEMP_LO=-(A_LO(I,4)/A_LO(4,4))
B_UP(I)=B_UP(I)+TEMP_UP*B_UP(4) !TOTAL MATRIX_B_UP COEFFICIENTS
B_LO(I)=B_LO(I)+TEMP_LO*B_LO(4) !TOTAL MATRIX_B_LO COEFFICIENTS
DO J=4,M
A_UP(I,J)=A_UP(I,J)+TEMP_UP*A_UP(4,J)
A_LO(I,J)=A_LO(I,J)+TEMP_LO*A_LO(4,J) !FIRST ROW AND FITH ROW ADDTION TO CANCEL X1 FROM 5TH ROW
!WRITE(*,*)'A_UP(I,J)',A_UP(I,J)
END DO
END DO
DO I=1,N
DO J=1,M
!WRITE(*,*)'MATRIX_A_UP',A_UP(I,J),J
!WRITE(*,*)'MATRIX_A_LO',A_LO(I,J),J
END DO
END DO
DO I=1,N
!WRITE(*,*)'MATRIX_B',B_UP(I)
END DO
!---------------------PART FIVE / 6TH ROW ---------------------------------------------------------------
DO I=6,N
TEMP_UP=-(A_UP(I,5)/A_UP(5,5))
TEMP_LO=-(A_LO(I,5)/A_LO(5,5))
B_UP(I)=B_UP(I)+TEMP_UP*B_UP(5) !TOTAL MATRIX_B_UP COEFFICIENTS
B_LO(I)=B_LO(I)+TEMP_LO*B_LO(5) !TOTAL MATRIX_B_LO COEFFICIENTS
DO J=5,M
A_UP(I,J)=A_UP(I,J)+TEMP_UP*A_UP(5,J)
A_LO(I,J)=A_LO(I,J)+TEMP_LO*A_LO(5,J) !FIRST ROW AND SIXTH ROW ADDITION TO CANCEL X1 FROM 6TH ROW
!WRITE(*,*)'A_UP(I,J)',A_UP(I,J)
END DO
END DO
DO I=1,N
DO J=1,M
IF(ABS(A_UP(I,J))<0.00000000001 .OR. ABS(A_LO(I,J))<0.00000000001 )THEN !MAKE SURE EVERY COMPONENT EQUAL ZERO
A_UP(I,J)=0.0
A_LO(I,J)=0.0
END IF
!WRITE(*,*)'MATRIX_A_UP',A_UP(I,J),J
!WRITE(*,*)'MATRIX_A_LO',A_LO(I,J),J
END DO
END DO
!!$ DO I=1,N
!!$ !WRITE(*,*)'MATRIX_B_UP',B_UP(I)
!!$ !WRITE(*,*)'MATRIX_B_LO',B_LO(I)
!!$ END DO
!--------------------CALCULATE THE ANSWER 'X'/COEFFICIENTS(A1,A2..A6) FROM LAST ROW TO FIRST ROW BY SUBSTITUTION -------------------
X_UP=0.0 !MAKE SURE THE COEFFICIENT 'X'= 0
X_LO=0.0
DO I=N,1,-1
X_UP(I)=0 ! ALL VALUES OF COEFIIECIENT OF X_UP ARE ZERO AFTER ELIMINATION
!WRITE(*,*)'A_UP',A_UP(I,I),'I',I
X_UP(I)=(B_UP(I)-A_UP(I,6)*X_UP(6)-A_UP(I,5)*X_UP(5)-A_UP(I,4)*X_UP(4)-A_UP(I,3)*X_UP(3)-& ! X_UP(I) = a1,a2...a6)
A_UP(I,2)*X_UP(2)-A_UP(I,1)*X_UP(1))/A_UP(I,I)
!WRITE(*,*)'X_UP',X_UP(I),'I',I
X_LO(I)=0
X_LO(I)=(B_LO(I)-A_LO(I,6)*X_LO(6)-A_LO(I,5)*X_LO(5)-A_LO(I,4)*X_LO(4)-A_LO(I,3)*X_LO(3)-& ! X_LO(I) = a1,a2...a6)
A_LO(I,2)*X_LO(2)-A_LO(I,1)*X_LO(1))/A_LO(I,I)
!WRITE(*,*)'X_LO',X_LO(I),'I',I
END DO
!-------------------------------------------------------------------------------------------------------------
! NORMALIZATION OF X BETWEEN 0 AND 1
!
!-------------------THE FUNCTION OF UPPER LINE----------------------------------------------------------------
PARTONE=0.05 ! !TRAILING AND LEADING EDGEES
PARTTWO=0.9 ! 2*PARTONE + PARTTWO = 1 TOTAL CURVE SIZE
!WRITE(*,*)'ONE',PARTONE,'TWO',PARTTWO,'TOTAL',PARTONE+PARTTWO
OPEN(UNIT=32,FILE=POSITIONNAME) ! POSITION = 'REWIND')
!REWIND(32) ! IN CASE THE FILE LEAVE THE OLD POSITION OF AIRFOIL
PIECES=POINT/2/3 ! 90
Z1=PARTONE/PIECES ! 0.0005555555
Z2=PARTTWO/PIECES ! 0.01
!WRITE(*,*)'PIECES ',PIECES,' Z1',Z1,' Z2',Z2
DO J=1,POINT ! Condition ?
! FOR LOWER CURVES
IF (J<=(POINT/2.0))THEN ! [1 270]
IF (J<=(POINT/6.0))THEN ! [1 90]
X(J)=J*Z1 !
!WRITE(*,*)'X',X,'J',J
Y(J)= X_UP(1)*X(J)**(0.5)+X_UP(2)*X(J)**(1.5)+X_UP(3)*X(J)**(2.5) + X_UP(4)*X(J)**(3.5) + & ! COEFFICIENTS X_UP(I)
X_UP(5)*X(J)**(4.5)+X_UP(6)*X(J)**(5.5)
ELSE IF (J>=(POINT/6) .AND. J <= (POINT/3)) THEN ![90, 180]
X(J)=PARTONE+(J-(POINT/6))*Z2
!WRITE(*,*)'X',X,'J',J,' POINT',POINT/6
Y(J)=X_UP(1)*X(J)**(0.5)+X_UP(2)*X(J)**(1.5)+X_UP(3)*X(J)**(2.5)+X_UP(4)*X(J)**(3.5)+&
X_UP(5)*X(J)**(4.5)+X_UP(6)*X(J)**(5.5)
ELSE
X(J) = PARTONE + PARTTWO + (J-(POINT/3))*Z1 ![180 270]
!WRITE(*,*)'X',X,'J',J,' POINT',POINT/3
Y(J)=X_UP(1)*X(J)**(0.5)+X_UP(2)*X(J)**(1.5)+ X_UP(3)*X(J)**(2.5)+X_UP(4)*X(J)**(3.5)+&
X_UP(5)*X(J)**(4.5)+X_UP(6)*X(J)**(5.5)
END IF
! FOR LOWER CURVES
ELSE
X(J)=POINT-J ! J= [270 540] AND FOR X(J) 0 ...270
IF (X(J)<=(POINT/6.0))THEN ! [0 90]
X(J)=X(J)*Z1
!WRITE(*,*)'X',X,'J',J
Y(J)=X_LO(1)*X(J)**(0.5)+X_LO(2)*X(J)**(1.5)+X_LO(3)*X(J)**(2.5)+X_LO(4)*X(J)**(3.5)+&
X_LO(5)*X(J)**(4.5)+X_LO(6)*X(J)**(5.5)
ELSE IF (X(J)>(POINT/6) .AND. X(J)<=(POINT/3))THEN ! [90 180]
X(J)=PARTONE+(X(J)-(POINT/6))*Z2
!WRITE(*,*)'X',X,'J',J,' POINT',POINT/6,' PART2'
Y(J)=X_LO(1)*X(J)**(0.5)+X_LO(2)*X(J)**(1.5)+X_LO(3)*X(J)**(2.5)+X_LO(4)*X(J)**(3.5)+&
X_LO(5)*X(J)**(4.5)+X_LO(6)*X(J)**(5.5)
ELSE
X(J)=PARTONE+PARTTWO +(X(J)-(POINT/3))*Z1 ! [180 270]
!WRITE(*,*)'X',X,'J',J,' POINT',POINT/3,' PART3'
Y(J)=X_LO(1)*X(J)**(0.5)+X_LO(2)*X(J)**(1.5)+X_LO(3)*X(J)**(2.5)+X_LO(4)*X(J)**(3.5)+&
X_LO(5)*X(J)**(4.5)+X_LO(6)*X(J)**(5.5)
END IF
END IF
END DO
if(myid==0)then
DO J= 1 , POINT-1
!X(J)= COS((-AOA)*PI/180)*X(J) - SIN((-AOA)*PI/180)*Y(J) ! ROTATION
!Y(J)= SIN((-AOA)*PI/180)*X(J) + COS((-AOA)*PI/180)*Y(J)
!X(J)=X(J) + zc
!Y(J)=Y(J) + yc
WRITE(32,*) X(J), Y(J)
END DO
write(32,*) X(1), Y(1)
CLOSE(32)
end if
end subroutine MATRIX_PARSEC
subroutine dynamic_AOA()
use variables
implicit none
real*8 ,parameter :: PI = 3.14159265359
frequency = reduce_frequency / PI
AOA = AOA1 + 10 * abs( sin( 2 * PI * frequency * ( time - dt*(StartDynamic-1) ) ) )
end subroutine dynamic_AOA
subroutine RayCasting_HSUAN()
use variables
implicit none
integer :: l ,m ,n, intercount
integer :: ll ,mm ,nn
real*8,dimension(nSubGrids+1) :: ZZ, YY
real*8 :: total
real*8 :: diagonal
DOUBLE PRECISION :: PI
real*8 ,dimension(1:nSubGrids+1) :: SY
real*8 ,dimension(1:nSubGrids+1) :: SZ
real*8 :: dxg, dyg, dzg
real*8 :: xi
open( 24,file = NACA_filename, form = 'FORMATTED' )
do i = 1, poly
read(24,*) az(i), ay(i)
end do
close(24)
PI=4.d0*ATAN(1.d0)
!$OMP PARALLEL DO
do i = 1, poly
az(i) = az(i) - 0.25
az(i)= COS((-AOA)*PI/180)*az(i) - SIN((-AOA)*PI/180)*ay(i) ! ROTATION
ay(i)= SIN((-AOA)*PI/180)*az(i) + COS((-AOA)*PI/180)*ay(i)
az(i) = az(i) + zc
ay(i) = ay(i) + yc
az(i) = az(i) + 0.25
end do
!GET THE AIRFOIL BORDERS BY COMPARING MESH POINTS WITHIN DOMAIN
do j=1,ny
if( Y(j) > minval(ay) )then
A = j-1
!if(myid==0)then
! write(*,*) 'A', A, minval(ay)
!end if
exit
end if
end do
do j=1,ny
if( Y(j) > maxval(ay) )then
B = j
!if(myid==0)then
! write(*,*) 'B', B, maxval(ay)
!end if
exit
end if
end do
do k=1,nz
if( Z(k) > minval(az) )then
C = k-1
!if(myid==0)then
! write(*,*) 'C', C, minval(az)
!end if
exit
end if
end do
do k=1,nz
if( Z(k) > maxval(az) )then
E = k
!if(myid==0)then
! write(*,*) 'E', E, maxval(az)
!end if
exit
end if
end do
!How many points on edge
points = 0
ik = 0
do m =1,poly
!-------------------------!
do k=1,nz
if( az(m) >= Z(k) .AND. az(m) < Z(k+1) )then
do j=1,ny
if( ay(m) >=Y(j) .AND. ay(m) < Y(j+1) )then
points(K,j) = 1
ETA_1(k,j) = points(k,j)
ik = ik + 1
end if
end do
end if
end do
!-------------------------!
end do
intersection = 0
do k=C,E-1
do j=A,B-1
intercount = 0
do l=j,B-1
if(ETA_1(k,l) /= 0)then
intercount = intercount + 1
end if
end do
if(intercount>0 .AND. ETA_1(k,j-1)==1 .AND. ETA_1(k,j)==0)then
ETA_1(k,j) = 1
end if
end do
end do
!-----------------------------------------------!
! DEFINE THE SUBGRID !
!-----------------------------------------------!
!-------------------!
do k=C,E-1
do j=A,B-1
!-------------------!
if( points(k,j) > 0 )then
sub_intersection = 0
position = 0
do l = 1,nSubGrids+1
position = position + 1
ZZ(l) = Z(k) + (position-1) * ( Z(k+1)-Z(k) ) / DBLE(nSubGrids) !SUB_GRID SIZE IN X
YY(l) = Y(j) + (position-1) * ( Y(j+1)-Y(j) ) / DBLE(nSubGrids) !SUB_GRID SIZE IN Y
end do
!--------------CALCULATION THE SUBGRID-----------------!
!$OMP PARALLEL DO PRIVATE(l)
!-------------------!
do m=1,poly-1 !
do l=1,nSubGrids!
!-------------------!
!---------- AY(I) > AY(I+1) ----------!
if( ay(m) >= (YY(l)+YY(l+1))/2.d0 )then
if( ay(m+1) <= (YY(l)+YY(l+1))/2.d0 )then
!-------------------------!
do n=1, nSubGrids
if( (ZZ(n)+ZZ(n+1))/2.d0 > max(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 0
else if( (ZZ(n)+ZZ(n+1))/2.d0 < min(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
if( YY(l)==ay(m+1) .OR. ZZ(n)==az(m+1) )then
YY(l) = YY(l) + 0.d01
ZZ(n) = ZZ(n) + 0.d01
end if
m_pa = ( YY(l)-ay(m+1) ) / ( ZZ(n)-az(m+1) )
m_ab = ( ay(m)-ay(m+1) ) / ( az(m)-az(m+1) )
if( m_pa > m_ab )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
sub_intersection(n,l) = sub_intersection(n,l) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) > AY(I+1) ----------!
!---------- AY(I) < AY(I+1) ----------!
if( ay(m) <= (YY(l)+YY(l+1))/2.d0 )then
if( ay(m+1) >= (YY(l)+YY(l+1))/2.d0 )then
!-------------------------!
do n=1, nSubGrids
if( (ZZ(n)+ZZ(n+1))/2.d0 > max(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 0
else if( (ZZ(n)+ZZ(n+1))/2.d0 < min(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
if( YY(l)==ay(m+1) .OR. ZZ(n)==az(m+1) )then
YY(l) = YY(l) + 0.d01
ZZ(n) = ZZ(n) + 0.d01
end if
m_pa = ( YY(l)-ay(m) ) / ( ZZ(n)-az(m) )
m_ab = ( ay(m+1)-ay(m) ) / ( az(m+1)-az(m) )
if( m_pa > m_ab )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
sub_intersection(n,l) = sub_intersection(n,l) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) < AY(I+1) ----------!
!---------!
end do!
end do !
!---------!
!$OMP END PARALLEL DO
!--------------CALCULATION THE SUBGRID-----------------!
total = 0
do m=1,nSubGrids
do n=1,nSubGrids
if( mod(sub_intersection(m,n),2) == 0 )then
sub_intersection(m,n) = 0
else
sub_intersection(m,n) = 1
end if
total = total + sub_intersection(m,n)
end do
end do
ETA_1(k,j) = DBLE(total)/DBLE(nSubGrids)/DBLE(nSubGrids)
end if
!---------!
end do!
end do !
!---------!
!$OMP PARALLEL DO PRIVATE(i)
do k=1,nz ;do j=1,ny; do i=1,nx
ETA(i,j,k) = ETA_1(k,j)
end do; end do; end do
!$OMP END PARALLEL DO
endsubroutine RayCasting_HSUAN
subroutine RayCasting()
use variables
implicit none
integer :: l ,m ,n
real*8,dimension(nSubGrids+1) :: ZZ, YY
real*8 :: total
DOUBLE PRECISION :: PI
intersection = 0
open( 24,file = NACA_filename, form = 'FORMATTED' )
do i = 1, poly
read(24,*) az(i), ay(i)
end do
close(24)
PI=4.d0*ATAN(1.d0)
!$OMP PARALLEL DO
do i = 1, poly
az(i) = az(i) - 0.25
az(i)= COS((-AOA)*PI/180)*az(i) - SIN((-AOA)*PI/180)*ay(i) ! ROTATION
ay(i)= SIN((-AOA)*PI/180)*az(i) + COS((-AOA)*PI/180)*ay(i)
az(i) = az(i) + zc
ay(i) = ay(i) + yc
az(i) = az(i) + 0.25
end do
!$OMP END PARALLEL DO
!GET THE AIRFOIL BORDERS BY COMPARING MESH POINTS WITHIN DOMAIN
do j=1,ny
if( Y(j) > minval(ay) )then
A = j-1
!if(myid==0)then
! write(*,*) 'A', A, minval(ay)
!end if
exit
end if
end do
do j=1,ny
if( Y(j) > maxval(ay) )then
B = j
!if(myid==0)then
! write(*,*) 'B', B, maxval(ay)
!end if
exit
end if
end do
do k=1,nz
if( Z(k) > minval(az) )then
C = k-1
!if(myid==0)then
! write(*,*) 'C', C, minval(az)
!end if
exit
end if
end do
do k=1,nz
if( Z(k) > maxval(az) )then
E = k
!if(myid==0)then
! write(*,*) 'E', E, maxval(az)
!end if
exit
end if
end do
!How many points on edge
points = 0
ik = 0
do m =1,poly
!-------------------------!
do k=C,E-1
if( az(m) >= Z(k) .AND. az(m) < Z(k+1) )then
do j=A,B-1
if( ay(m) >=Y(j) .AND. ay(m) < Y(j+1) )then
points(K,j) = 1
ik = ik + 1
end if
end do
end if
end do
!-------------------------!
end do
!-----------------------------------------------!
! Define ETA which point inside the airfoil !
!-----------------------------------------------!
!--------------!
do m=1,poly-1 !
do j=1,ny !
!--------------!
!---------- AY(I) > AY(I+1) ----------!
if( ay(m) >= (y(j)+y(j+1))/2.d0 )then
if( ay(m+1) <= (y(j)+y(j+1))/2.d0 )then
!-------------------------!
do k=1,nz
if( (Z(k)+Z(k+1))/2.d0 >= max( az(m),az(m+1) ) )then
intersection(k,j) = intersection(k,j) + 0
else if( (Z(k)+Z(k+1))/2.d0 < min( az(m),az(m+1) ) )then
intersection(k,j) = intersection(k,j) + 1
else
if( Y(j)==ay(m+1) .OR. Z(k)==az(m+1) )then
Y(j) = Y(j) + 0.d01
Z(k) = Z(k) + 0.d01
end if
m_pa = ( Y(j)-ay(m+1) ) / ( Z(k)-az(m+1) )
m_ab = ( ay(m)-ay(m+1) ) / ( az(m)-az(m+1) )
if( m_pa > m_ab )then
intersection(k,j) = intersection(k,j) + 1
else
intersection(k,j) = intersection(k,j) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) > AY(I+1) ----------!
!---------- AY(I) < AY(I+1) ----------!
if( ay(m) <= (y(j)+y(j+1))/2.d0 )then
if( ay(m+1) >= (y(j)+y(j+1))/2.d0 )then
!-------------------------!
do k=1,nz
if( (Z(k)+Z(k+1))/2.d0 >= max( az(m),az(m+1) ) )then
intersection(k,j) = intersection(k,j) + 0
else if( (Z(k)+Z(k+1))/2.d0 < min( az(m),az(m+1) ) )then
intersection(k,j) = intersection(k,j) + 1
else
if( Y(j)==ay(m) .OR. Z(k)==az(m) )then
Y(j) = Y(j) + 0.d01
Z(k) = Z(k) + 0.d01
end if
m_pa = ( Y(j)-ay(m) ) / ( Z(k)-az(m) )
m_ab = ( ay(m+1)-ay(m) ) / ( az(m+1)-az(m) )
if( m_pa > m_ab )then
intersection(k,j) = intersection(k,j) + 1
else
intersection(k,j) = intersection(k,j) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) < AY(I+1) ----------!
!---------!
end do!
end do !
!---------!
!$OMP PARALLEL DO PRIVATE(j)
do k=1,nz;do j=1,ny
if( mod( intersection(k,j),2 ) == 0 )then
ETA_1(k,j) = 0
else
ETA_1(k,j) = 1
end if
end do;end do
!$OMP END PARALLEL DO
!-----------------------------------------------!
! DEFINE THE SUBGRID !
!-----------------------------------------------!
!-------------!
do k=C,E-1 !
do j=A,B-1!
!-------------!
if( points(k,j) > 0 )then
sub_intersection = 0
position = 0
do l = 1,nSubGrids+1
position = position + 1
ZZ(l) = Z(k) + (position-1) * ( Z(k+1)-Z(k) ) / DBLE(nSubGrids) !SUB_GRID SIZE IN X
YY(l) = Y(j) + (position-1) * ( Y(j+1)-Y(j) ) / DBLE(nSubGrids) !SUB_GRID SIZE IN Y
end do
!--------------CALCULATION THE SUBGRID-----------------!
!$OMP PARALLEL DO PRIVATE(l)
!-------------------!
do m=1,poly-1 !
do l=1,nSubGrids!
!-------------------!
!---------- AY(I) > AY(I+1) ----------!
if( ay(m) >= (YY(l)+YY(l+1))/2.d0 )then
if( ay(m+1) <= (YY(l)+YY(l+1))/2.d0 )then
!-------------------------!
do n=1, nSubGrids
if( (ZZ(n)+ZZ(n+1))/2.d0 > max(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 0
else if( (ZZ(n)+ZZ(n+1))/2.d0 < min(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
if( YY(l)==ay(m+1) .OR. ZZ(n)==az(m+1) )then
YY(l) = YY(l) + 0.d01
ZZ(n) = ZZ(n) + 0.d01
end if
m_pa = ( YY(l)-ay(m+1) ) / ( ZZ(n)-az(m+1) )
m_ab = ( ay(m)-ay(m+1) ) / ( az(m)-az(m+1) )
if( m_pa > m_ab )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
sub_intersection(n,l) = sub_intersection(n,l) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) > AY(I+1) ----------!
!---------- AY(I) < AY(I+1) ----------!
if( ay(m) <= (YY(l)+YY(l+1))/2.d0 )then
if( ay(m+1) >= (YY(l)+YY(l+1))/2.d0 )then
!-------------------------!
do n=1, nSubGrids
if( (ZZ(n)+ZZ(n+1))/2.d0 > max(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 0
else if( (ZZ(n)+ZZ(n+1))/2.d0 < min(az(m),az(m+1)) )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
if( YY(l)==ay(m+1) .OR. ZZ(n)==az(m+1) )then
YY(l) = YY(l) + 0.d01
ZZ(n) = ZZ(n) + 0.d01
end if
m_pa = ( YY(l)-ay(m) ) / ( ZZ(n)-az(m) )
m_ab = ( ay(m+1)-ay(m) ) / ( az(m+1)-az(m) )
if( m_pa > m_ab )then
sub_intersection(n,l) = sub_intersection(n,l) + 1
else
sub_intersection(n,l) = sub_intersection(n,l) + 0
end if
end if
end do
!-------------------------!
end if
end if
!---------- AY(I) < AY(I+1) ----------!
!---------!
end do!
end do !
!---------!
!$OMP END PARALLEL DO
!--------------CALCULATION THE SUBGRID-----------------!
total = 0
do m=1,nSubGrids
do n=1,nSubGrids
if( mod(sub_intersection(m,n),2) == 0 )then
sub_intersection(m,n) = 0
else
sub_intersection(m,n) = 1
end if
total = total + sub_intersection(m,n)
end do
end do
ETA_1(k,j) = DBLE(total)/DBLE(nSubGrids)/DBLE(nSubGrids)
end if
!---------!
end do!
end do !
!---------!
!$OMP PARALLEL DO PRIVATE(i)
do k=1,nz ;do j=1,ny; do i=1,nx
ETA(i,j,k) = ETA_1(k,j)
end do; end do; end do
!$OMP END PARALLEL DO
!if(myid==0)then
! open(UNIT=18,FILE='test.dat')
! write(18,*)'VARIABLES=Z,Y,point,ETA,intersection'
! write(18,*)'ZONE k=',nz,' ,j=',ny
!
! do k=1,nz
! do j=1,ny
!
! write(18,*) Zs(k), Ys(j), points(K,j), ETA_1(k,j), intersection(k,j)
!
! end do
! end do
! close(18)
!
!end if
return
end subroutine RayCasting