REALIZATION OF THE TVD-SCHEME FOR A NUMERICAL SOLUTION OF THE FILTRATION PROBLEM

Abstract

A numerical solution of one-dimensional filtration problem for suspension flow in a porous medium is considered. The TVD-scheme with different functions-delimiters is obtained. The TVD-scheme is compared with the counter-current scheme and the Lax-Wendroff scheme. Diagrams of suspended particles concentrations are shown.

Keywords

• deep bed filtration, TVD-scheme, limiter, Lax-Wendroff method, dissipation, diffusion