This article is cited in 10 papers

Regularized equations for numerical simulation of flows in the two-layer shallow water approximation

T. G. Elizarova^a, A. V. Ivanov<sup>b

a</sup> Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
^b Faculty of Physics, Moscow State University, Moscow, Russia

Abstract: Regularized equations describing hydrodynamic flows in the two-layer shallow water approximation are constructed. A conditionally stable finite-difference scheme based on the finitevolume method is proposed for the numerical solution of these equations. The scheme is tested using several well-known one-dimensional benchmark problems, including Riemann problems.

Key words: two-layer shallow water equations, quasi-gasdynamic approach, regularized equations, finite-volume method, central-difference scheme, one-dimensional flows, transcritical flows.

UDC: 519.633

DOI: 10.7868/S004446691805006X

 English version: Computational Mathematics and Mathematical Physics, 2018, 58:5, 714–734

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