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ua.f
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324 lines (310 loc) · 7.96 KB
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program ttt
implicit real*8 (a-h,o-z)
C compile ifort ua.f -r8 -I./fftw-3.3.4/include -L./fftw-3.3.4/lib -lfftw3
real*8 u(129),uu(129),x(129),wait(129),v(129),tt(129)
real*8 us(129),vs(129),ws(129)
real*8 w(129)
km = 129
CPI = DBLE(4.)*DATAN(DBLE(1))
do i=1,km
wait(i)=DBLE(0)
x(i)=DCOS( (DBLE(i-1)*CPI)/DBLE(km-1) )
enddo
do i=1,km,2
r=i-1
wait(i)=-DBLE(1)/DBLE(r*r-1)
enddo
wait(1)=DBLE(1)/DBLE(2)
do k=1,km
us(k)=DBLE(0)
vs(k)=DBLE(0)
ws(k)=DBLE(0)
enddo
C PROCESS MEAN STREAM VELOCITY FIRST
do i=1,200000
read(2111,'(512E24.16)') (u(K),K=1,KM)
C make symmetric
do j=1,km/2+1
tmp=(u(km+1-j)+u(j))/DBLE(2)
u(j)=tmp
u(km+1-j)=tmp
enddo
C 1st derivative in spectral space
call ctran(u)
call chebdz(u,uu,km)
call citran(uu)
do k=1,km
u(k)=uu(k)/DBLE(180)
enddo
C integral of ^2 over wall-normal direction
do k=1,km
us(k)=us(k)+(u(k)-us(k))/DBLE(i)
tt(k)=us(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumu=su3
do k=1,km
tt(k)=(us(k)-sumu)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsu=su3
C PROCESS STREAMWISE REYNOLDS STRESS
read(2123,'(512E24.16)') (v(K),K=1,KM)
c make asymmetric
do j=1,km/2+1
tmp=(v(km+1-j)-v(j))/DBLE(2)
v(j)=-tmp
v(km+1-j)=tmp
enddo
C integral of ^2 over wall-normal direction
do k=1,km
vs(k)=vs(k)+(v(k)-vs(k))/DBLE(i)
tt(k)=vs(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumv=su3
do k=1,km
tt(k)=(vs(k)-sumv)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsv=su3
C add into time averaging sum
do k=1,km
w(k)=u(k)-v(k)+x(k)
ws(k)=ws(k)+(w(k)-ws(k))/DBLE(i)
tt(k)=ws(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumw=su3
do k=1,km
tt(k)=(ws(k)-sumw)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsw=su3
write(3117,'(i8,512E24.16)') i,
& sumu**2+rmsu,
& sumv**2+rmsv,
& sumw**2+rmsw
enddo
C PROCESS MEAN STREAM VELOCITY FIRST
do i=200001,400000
read(2211,'(512E24.16)') (u(K),K=1,KM)
C make symmetric
do j=1,km/2+1
tmp=(u(km+1-j)+u(j))/DBLE(2)
u(j)=tmp
u(km+1-j)=tmp
enddo
C 1st derivative in spectral space
call ctran(u)
call chebdz(u,uu,km)
call citran(uu)
do k=1,km
u(k)=uu(k)/DBLE(180)
enddo
C integral of ^2 over wall-normal direction
do k=1,km
us(k)=us(k)+(u(k)-us(k))/DBLE(i)
tt(k)=us(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumu=su3
do k=1,km
tt(k)=(us(k)-sumu)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsu=su3
C PROCESS STREAMWISE REYNOLDS STRESS
read(2223,'(512E24.16)') (v(K),K=1,KM)
c make asymmetric
do j=1,km/2+1
tmp=(v(km+1-j)-v(j))/DBLE(2)
v(j)=-tmp
v(km+1-j)=tmp
enddo
C integral of ^2 over wall-normal direction
do k=1,km
vs(k)=vs(k)+(v(k)-vs(k))/DBLE(i)
tt(k)=vs(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumv=su3
do k=1,km
tt(k)=(vs(k)-sumv)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsv=su3
C add into time averaging sum
do k=1,km
w(k)=u(k)-v(k)+x(k)
ws(k)=ws(k)+(w(k)-ws(k))/DBLE(i)
tt(k)=ws(k)
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
sumw=su3
do k=1,km
tt(k)=(ws(k)-sumw)**2
enddo
call ctran(tt)
su3=DBLE(0)
do j=1,km
su3=su3+wait(j)*tt(j)
enddo
rmsw=su3
write(3117,'(i8,512E24.16)') i,
& sumu**2+rmsu,
& sumv**2+rmsv,
& sumw**2+rmsw
enddo
end
SUBROUTINE CHEBDZ( a, b, km )
C ------------------------------
C - THIS SUBR. PUTS INTO B THE CHEB EXPANSION
C - OF THE DERIVATIVE OF THE CHEB FIELD A.
C
DIMENSION a(km), b(km)
b(km)=DBLE(0)
b(km-1)=a(km)*DBLE(2*(km-1))
do k=km-2,1,-1
b(k)=b(k+2)+DBLE(2*k)*a(k+1)
enddo
RETURN
END
SUBROUTINE CHEBDZINV( b, a, km )
C ------------------------------
C - INVERSE OF CHEBDZ
C
DIMENSION a(km), b(km)
a(km)=b(km-1)/DBLE(2*(km-1))
a(1)=DBLE(0)
do k=2,km-1
a(k)=(b(k-1)-b(k+1))/DBLE(2*(k-1))
enddo
RETURN
END
SUBROUTINE CITRAN(W)
C --------------------
C - THIS SUBR. EVALUATES A CHEB EXPANSION AT COLLOC POINTS :
C - ZK = COS((K-1)*PI/(KM-1)). THE FIRST TERM IN THE EXPANSION
C - IS WILL BE MULTIPLED BY HALF ( BUT NOT THE LAST TERM).
C
C - THE DIMENSION OF W SHOULD BE AT LEAST 2*KM
C - KM SHOULD BE OF THE FORM 2**M + 1
C
DIMENSION W(2*129)
KM=129
C
W(KM) = DBLE(2)*W(KM)
CALL DCT(W,KM)
C
RETURN
END
SUBROUTINE CTRAN(W)
C -------------------
C - THIS SUBR. APPROXIMATES THE THE CHEB EXPANSION COEFFS.
C - OF A FUNCTION GIVEN ITS VALUE AT KM COLLOCATION POINTS.
C - THE POINTS ARE ZK = COS((K-1)*PI/(KM-1)).
C - W MUST BE DIMENSIONED WITH SIZE AT LEAST 2*KM
C - KM MUST BE OF THE FORM 2**M + 1.
C
DIMENSION W(2*129)
KM=129
C
CALL DCT(W,KM)
C
N = KM - 1
FACTOR = DBLE(2)/DBLE(N)
DO 10 K = 1, KM
W(K) = FACTOR*W(K)
10 CONTINUE
W(KM) = W(KM)/DBLE(2)
C
RETURN
END
SUBROUTINE DCT(X,KM)
C **********************************************************************
C * THIS ROUTINE PERFORMS A DISCRETE CHEBYSHEV TRANSFORM *
C * ROUTINE IS NOT THREAD SAFE! *
C * X - INPUT VECTOR DIM X(KM) *
C * Y - OUTPUT VECTOR DIM Y(KM) *
C **********************************************************************
INCLUDE 'fftw3.f'
DIMENSION X(KM)
DIMENSION XX(KM-1)
DIMENSION YY(KM+1)
DIMENSION WSAVE(KM)
DT = DBLE(4)*DATAN(DBLE(1))/DBLE(KM-1)
DO K=2,KM/2
WSAVE(K) = DBLE(2)*DSIN(DBLE(K-1)*DT)
WSAVE(KM+1-K) = DBLE(2)*DCOS(DBLE(K-1)*DT)
ENDDO
FAC=DBLE(1)/DBLE(2)
MODN = MOD(KM,2)
CALL DFFTW_PLAN_R2R_1D(PLAN,KM-1,XX,YY,FFTW_R2HC,
* FFTW_ESTIMATE+FFTW_UNALIGNED)
C1 = X(1)-X(KM)
XX(1) = X(1)+X(KM)
DO K=2,KM/2
T1 = X(K)+X(KM+1-K)
T2 = X(K)-X(KM+1-K)
C1 = C1+WSAVE(KM+1-K)*T2
T2 = WSAVE(K)*T2
XX(K) = T1-T2
XX(KM+1-K) = T1+T2
ENDDO
IF (MODN .NE. 0) XX(KM/2+1)=X(KM/2+1)+X(KM/2+1)
CALL DFFTW_EXECUTE_R2R(PLAN,XX,YY)
X(1)=YY(1)*FAC
X(2) = C1*FAC
DO K=2,KM/2
X(2*K) = X(2*K-2)-YY(KM+1-K)*FAC
X(2*K-1) = YY(K)*FAC
ENDDO
IF (MODN .NE. 0) X(KM) = YY(KM/2+1)*FAC
CALL DFFTW_DESTROY_PLAN(PLAN)
RETURN
END