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

Yuri P. Galaguz

doi:10.22337/2587-9618-2017-13-2-93-102

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Published: Jun 30, 2017

DOI: https://doi.org/10.22337/2587-9618-2017-13-2-93-102

Keywords:

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

Yuri P. Galaguz

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

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.

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How to Cite

Galaguz, Y. P. (2017). REALIZATION OF THE TVD-SCHEME FOR A NUMERICAL SOLUTION OF THE FILTRATION PROBLEM. International Journal for Computational Civil and Structural Engineering, 13(2), 93–102. https://doi.org/10.22337/2587-9618-2017-13-2-93-102