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Regularized Equations for Numerical Simulation of Flows in the Two-Layer Shallow Water Approximation

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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.

Keywords

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

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia
  2. 2.Faculty of PhysicsMoscow State UniversityMoscowRussia

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