Posted by Koudella on July 14, 1998 at 17:10:23:
Hello,
I need to solve the following equation:
div( M(x,y,z) \nabla f(x,y,z) ) = g(x,y,z)
on a cubic boz with periodic bc's using a nice regular
grid.
M(x,y,z) is a 3x3 matrix, giving rise to mixed
derivatives in the pde. M is made up from a scalar
field, the result of a turbulence simulation and
thus M can vary strongly, though not discontinuously
I want to solve this equation using either finite
differences, finite vol or anything else.
Maybe you can give me a few hints concerning earlier
work, the discretisation and the inversion of the
big linear system I end up with.
by the way I am working with high resolution
(256^3).
thank you,
Christophe
ckoudell@ens-lyon.fr