Two-dimensional parallel solver for the solution of navier-stokes equations with constant and variable coefficients using ADI on cells

摘要

The paper proposed a new algorithm for the parallel solution of two-dimensional Navier-Stokes type equation with constant and non-constant coefficients which is mapped onto cell topology. This paper is a further development in the application of the local Fourier methods to the solutions Of PDE's in multidomain regions. The extension of the above solution to problem with Non-constant coefficients is suggested via spectral multidomain preconditioner. This approach is Efficient when we have good local approximations in each subdomain. By dividing the computa- Tional domain into a large enough number of subdomains we can guarantee it.