📄 acousticf90.f
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!INTEGER N, niters
!REAL check
!N = 128
!niters = 128*3
!CALL echo_f90(N, niters, check)
!PRINT *, check
!END
SUBROUTINE echo_f90(N, niters, check)
INTEGER, INTENT( IN ) :: N, niters
REAL, INTENT( OUT ) :: check
REAL, DIMENSION (N,N) :: P1, P2, P3, c
INTEGER iter
CALL echo_f90_setupInitialConditions(c, P1, P2, P3, N)
CALL checkArray_f90(P2, N)
CALL checkArray_f90(c, N)
DO iter=1, niters
P3(2:N-1,2:N-1) = (2-4*c(2:N-1,2:N-1)) * P2(2:N-1,2:N-1) &
+ c(2:N-1,2:N-1)*(P2(1:N-2,2:N-1) + P2(3:N,2:N-1) &
+ P2(2:N-1,1:N-2) + P2(2:N-1,3:N)) - P1(2:N-1,2:N-1)
P1 = P2
P2 = P3
END DO
check = P1(N/2,7*N/8)
RETURN
END
SUBROUTINE echo_f90_setupInitialConditions(c, P1, P2, P3, N)
INTEGER, INTENT( IN ) :: N
REAL, DIMENSION (N,N) :: P1(N,N), P2(N,N), P3(N,N), c(N,N)
INTEGER blockLeft, blockRight, blockTop, blockBottom
INTEGER channelLeft, channelRight, channel1Height, channel2Height
REAL cr, cc
INTEGER i, j
REAL s2
! Set the velocity field
c = 0.2
! Solid block with which the pulse collides
blockLeft = 1
blockRight = 2 * N / 5.0
blockTop = N / 3.0
blockBottom = 2 * N / 3.0
c(blockTop:blockBottom, blockLeft:blockRight) = 0.5
! Channel directing the pulse leftwards
channelLeft = 4 * N / 5.0
channelRight = N
channel1Height = 3 * N / 8.0
channel2Height = 5 * N / 8.0
c(channel1Height,channelLeft:channelRight) = 0.0;
c(channel2Height,channelLeft:channelRight) = 0.0;
! Initial pressure distribution: a gaussian pulse inside the channel
cr = N / 2.0
cc = 7.0 * N / 8.0
s2 = 64.0 * 9.0 / ((N / 2.0) ** 2)
DO j=1,N
DO i=1,N
P2(i,j) = exp(-((i-cr)**2 + (j-cc)**2) * s2)
END DO
END DO
P1 = 0.0
P3 = 0.0
END
SUBROUTINE checkArray_f90(A, N)
INTEGER N
REAL, DIMENSION(N,N) :: A
INTEGER i,j
REAL check
check = 0.0
DO j=1,N
DO i=1,N
check = check + (i*n+j)*A(i,j)
END DO
END DO
PRINT *, 'Array check: ', check
RETURN
END
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