Summary: TwoDimensional Parallel Solver for the Solution of
NavierStokes Equations with Constant and Variable
Coefficients using ADI on Cells
appeared in Parallel Computing, 24, pp. 673699, 1998.
A. Averbuch L. Vozovoi
School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
L. Ioffe M. Israeli \Lambda
Faculty of Computer Science, Technion, Haifa 32000, Israel
The paper proposed a new algorithm for the parallel solution of twodimensional
NavierStokes type equation with constant and nonconstant 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 problems with nonconstant coefficients is
suggested via spectral multidomain preconditioner. This approach is efficient when we
have good local approximations in each subdomain. By dividing the computational
domain into a large enough number of subdomains we can guarantee it.
The new achievement here is that we are able to handle decomposition of the domain
into cells that is the decomposed in both directions, x and y.
An appropriate Alternate Direction Implicit (ADI) scheme was developed. It en