problem implementing central finite difference on multicore computer?
3 views (last 30 days)
Show older comments
Hi,
I am trying to implement the central finite difference scheme for use on a multicore computer. The computer has 12 cores.
Currently I have a code that takes several days to run and any help in improving the performance would be helpful.
My finite difference function looks like this:
%nx,ny,nz = number of grid points in x,y,z direction
%dx = grid spacing
%v = velocity model
%ricker = ricker wavelet
%nt = number of time samples
%dt = number of time samples
%xs,ys,zs = source position
% receivers = receiver positions in y direction
function u = fd3d(nx,ny,nz,dx,v,ricker,nt,dt,xs,ys,zs,receivers)
p0 = zeros(nx,ny,nz); p1 = p0; p2 = p0;
cns = 6*(dt*v).^2;
u = zeros(length(receivers),nt);
alpha=dt/dx;
for it = 1:nt
p2 = 2*p1 - p0 + cns.*del2(p1,dx);
p2(xs,ys,zs) = p2(xs,ys,zs) + ricker(it);
%ABC BOUNDARY CONDITIONS
p2(1,:,:) = p1(1,:,:) + alpha.*v(1,:,:).*(p1(2,:,:)-p1(1,:,:));
p2(end,:,:) = p1(end,:,:) + alpha.*v(end,:,:).*(p1(end-1,:,:)-p1(end,:,:));
p2(:,1,:) = p1(:,1,:) + alpha.*v(:,1,:).*(p1(:,2,:)-p1(:,1,:));
p2(:,end,:) = p1(:,end,:) + alpha.*v(:,end,:).*(p1(:,end-1,:)-p1(:,end,:));
p2(:,:,1) = p1(:,:,1) + alpha.*v(:,:,1).*(p1(:,:,2)-p1(:,:,1));
p2(:,:,end) = p1(:,:,end) + alpha.*v(:,:,end).*(p1(:,:,end-1)-p1(:,:,end));
a = p2(xs,receivers,zs); extract seismogram from current timestep
u(:,it) = a'; %store seismogram
p0 = p1; p1 = p2; %update pressure fields
end
The function that takes the longest time to compute is the builtin del2 function. I was hoping if anyone had any suggestion on a function that can be used instead of del2 that works together with the parallel computation toolbox.
0 Comments
Answers (0)
See Also
Categories
Find more on Graphics Performance in Help Center and File Exchange
Products
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!