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membrane.f90
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membrane.f90
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MODULE membrane
USE prms
USE data
IMPLICIT none
! Nb
integer(8) :: fp,rp
real, allocatable, dimension(:) :: fw
complex, allocatable, dimension(:) :: fhat
integer(8) :: ffp
real, allocatable, dimension(:) :: ffw
complex, allocatable, dimension(:) :: ffh
real, allocatable, dimension(:) :: kb
real, allocatable, dimension(:,:,:) :: bend,stretch,totE
CONTAINS
SUBROUTINE initmembrane
allocate(fw(Nb),fhat(Nb/2+1))
allocate(ffw(Nf),ffh(Nf/2+1))
allocate(kb(Nb/2+1))
allocate(bend(2,Nb,Nm),stretch(2,Nb,Nm),totE(2,Nb,Nm))
call initdersp
END SUBROUTINE initmembrane
SUBROUTINE finalmembrane
! deallocate(fw,fhat,kb,ffw,ffh)
END SUBROUTINE finalmembrane
SUBROUTINE initdersp
include 'fftw3.f'
integer :: n
do n = 0,Nb/2
kb(n+1) = 2.*Pi*REAL(n)
end do
! Nb
call dfftw_plan_dft_r2c_1d(fp,Nb,fw,fhat,FFTW_ESTIMATE) ! fp: fw(Nb) -> fhat(Nb/2+1)
call dfftw_plan_dft_c2r_1d(rp,Nb,fhat,fw,FFTW_ESTIMATE) ! rp: fhat(Nb/2+1) -> fw(Nb)
call dfftw_plan_dft_r2c_1d(ffp,Nf,ffw,ffh,FFTW_ESTIMATE) ! ffp: ffw(Nf) -> ffh(Nf/2+1)
END SUBROUTINE initdersp
SUBROUTINE spectrumNb(f,fh,m)
real, dimension(Nb) :: f
real, dimension(Nb/2+1) :: fh
integer :: m
fw = f
call dfftw_execute(fp)
fhat = fhat/REAL(Nb)
fh = fhat*CONJG(fhat)
END SUBROUTINE spectrumNb
SUBROUTINE dersp(f,ul,df)
real, dimension(Nb) :: f,df
real :: ul
integer :: n
fw = f
call dfftw_execute(fp)
fhat(Nb/2+1) = 0.
fhat = fhat*(0.,1.)*kb
call dfftw_execute(rp)
df = fw/ul/REAL(Nb)
END SUBROUTINE dersp
SUBROUTINE filtknots(Nv,xx)
integer :: Nv
real, dimension(Nv,Nb,Nm) :: xx
integer :: n,m
character(30) :: fn
do m = 1,Nm
do n = 1,Nv
fw = xx(n,:,m)
call dfftw_execute(fp)
fhat(Nf/2+1:Nb/2+1) = 0.
call dfftw_execute(rp)
xx(n,:,m) = fw/REAL(Nb)
end do
end do
END SUBROUTINE filtknots
SUBROUTINE filt1(f,m)
real, dimension(Nb) :: f
integer :: m
fw = f
call dfftw_execute(fp)
fhat(Nf/2+2:Nb/2+1) = 0.
call dfftw_execute(rp)
f = fw/REAL(Nb)
END SUBROUTINE filt1
SUBROUTINE Nf2Nb(Xf,Xb)
real, dimension(2,Nf,Nm) :: Xf
real, dimension(2,Nb,Nm) :: Xb
integer :: i,m
character(30) :: fn
do m = 1,Nm
do i = 1,2
ffw = Xf(i,:,m)
call dfftw_execute(ffp)
fhat(1:Nf/2+1) = ffh
fhat(Nf/2+2:Nb/2+1) = 0.
call dfftw_execute(rp)
Xb(i,:,m) = fw/REAL(Nf)
end do
end do
END SUBROUTINE Nf2Nb
SUBROUTINE normal(Xe,D,nvec)
real, dimension(2,Nb,Nm) :: Xe,nvec
real, dimension(Nb,Nm) :: D
real, dimension(Nb) :: x1
real, dimension(Nb) :: dx1,dy1
integer :: m
do m = 1,Nm
x1 = Xe(1,:,m)
call dersp(x1,len0(m),dx1)
x1 = Xe(2,:,m)
call dersp(x1,len0(m),dy1)
D(:,m) = SQRT(dx1**2 + dy1**2)
nvec(1,:,m) = dy1/D(:,m)
nvec(2,:,m) = -dx1/D(:,m)
end do
END SUBROUTINE normal
SUBROUTINE wall(X,dv,DD,Dx)
real, dimension(2,Np) :: X,dv,Dx,DDx2,nvec
real, dimension(Np) :: DD
integer :: i
DD(Ns+1:Np) = wD
Dx(:,Ns+1:Np) = wDx
dv(:,Ns+1:Np) = Sw*(X(:,Ns+1:Np)-wX)
!open(1,file='Wall.Forces',form='FORMATTED')
!Do i = Ns+1, Np
!write(1,*) dv(:,i)
!End Do
!close(1)
END SUBROUTINE wall
SUBROUTINE construct_jumps(X,dv,DD,Dx,DDx2,nvec)
real, dimension(2,Nb,Nm) :: X,dv,Dx,DDx2,nvec
real, dimension(Nb,Nm) :: DD
real, dimension(Nb) :: D,D3i,Di
real, dimension(Nb) :: x1,y1,dx1,dy1,dx2,dy2,dvx,dvy
real, dimension(Nb) :: dx1SQ,dy1SQ
real, dimension(Nb) :: kap,w1
real, dimension(Nb,2) :: w2,tvec,nvecl,w3,u1,ttau
character(20) :: fn
integer :: i,m
call filtknots(2,X)
do m = 1,Nm
x1 = X(1,:,m)
y1 = X(2,:,m)
call dersp(x1,len0(m),dx1)
call dersp(y1,len0(m),dy1)
Dx(1,:,m) = dx1
Dx(2,:,m) = dy1
call dersp(dx1,len0(m),dx2)
call dersp(dy1,len0(m),dy2)
DDx2(1,:,m) = dx2
DDx2(2,:,m) = dy2
dx1SQ = dx1*dx1
dy1SQ = dy1*dy1
call filt1(dx1SQ,m)
call filt1(dy1SQ,m)
D = SQRT(dx1SQ + dy1SQ)
call filt1(D,m)
DD(:,m) = D
Di = 1./D
call filt1(Di,m)
D3i = Di**3
call filt1(D3i,m)
kap = (dy1*dx2-dx1*dy2)*D3i
call filt1(kap,m)
nvecl(:,1) = dy1*Di
nvecl(:,2) = -dx1*Di
call filt1(nvecl(1,1),m)
call filt1(nvecl(1,2),m)
nvec(1,:,m) = nvecl(:,1)
nvec(2,:,m) = nvecl(:,2)
tvec(:,1) = dx1*Di
tvec(:,2) = dy1*Di
call filt1(tvec(1,1),m)
call filt1(tvec(1,2),m)
call dersp(kap,len0(m),w1)
w2(:,1) = nvecl(:,1)*Di*w1
w2(:,2) = nvecl(:,2)*Di*w1
call filt1(w2(1,1),m)
call filt1(w2(1,2),m)
call dersp(w2(1,1),len0(m),w3(1,1))
call dersp(w2(1,2),len0(m),w3(1,2))
w2(:,1) = w3(:,1)*Di
w2(:,2) = w3(:,2)*Di
call filt1(w2(1,1),m)
call filt1(w2(1,2),m)
ttau(:,1) = tvec(:,1)*(D-1.)
ttau(:,2) = tvec(:,2)*(D-1.)
call dersp(ttau(1,1),len0(m),u1(1,1))
call dersp(ttau(1,2),len0(m),u1(1,2))
call filt1(u1(1,1),m)
call filt1(u1(1,2),m)
dvx = -Tc(m)*u1(:,1)*Di + Mc(m)*w2(:,1)
dvy = -Tc(m)*u1(:,2)*Di + Mc(m)*w2(:,2)
!!$ dvx = -T0*nvec(1,:,m)*kap
!!$ dvy = -T0*nvec(2,:,m)*kap
call filt1(dvx,m)
call filt1(dvy,m)
bend(1,:,m) = Mc(m)*w2(:,1)
bend(2,:,m) = Mc(m)*w2(:,2)
stretch(1,:,m) = -Tc(m)*u1(:,1)*Di
stretch(2,:,m) = -Tc(m)*u1(:,2)*Di
totE(1,:,m) = -Tc(m)*u1(:,1)*Di + Mc(m)*w2(:,1)
totE(2,:,m) = -Tc(m)*u1(:,2)*Di + Mc(m)*w2(:,2)
dv(1,:,m) = dvx
dv(2,:,m) = dvy
end do
!print *,"DD",MAXVAL(DD),MINVAL(DD)
END SUBROUTINE construct_jumps
SUBROUTINE getTM(X,Tout,Mout)
real, dimension(2,Nb,Nm) :: X
real, dimension(Nb,Nm) :: Tout,Mout
real, dimension(Nb) :: D,D3i,Di
real, dimension(Nb) :: x1,y1,dx1,dy1,dx2,dy2
real, dimension(Nb) :: dx1SQ,dy1SQ
real, dimension(Nb) :: kap
character(20) :: fn
integer :: i,m
call filtknots(2,X)
do m = 1,Nm
x1 = X(1,:,m)
y1 = X(2,:,m)
call dersp(x1,len0(m),dx1)
call dersp(y1,len0(m),dy1)
call dersp(dx1,len0(m),dx2)
call dersp(dy1,len0(m),dy2)
dx1SQ = dx1*dx1
dy1SQ = dy1*dy1
call filt1(dx1SQ,m)
call filt1(dy1SQ,m)
D = SQRT(dx1SQ + dy1SQ)
call filt1(D,m)
Di = 1./D
call filt1(Di,m)
D3i = Di**3
call filt1(D3i,m)
kap = (dy1*dx2-dx1*dy2)*D3i
Tout(:,m) = Tc(m)*(D-1)
Mout(:,m) = Mc(m)*kap
end do
END SUBROUTINE getTM
END MODULE membrane