Email this article Regularized Equations for Numerical Simulation of Flows in the Two-Layer Shallow Water Approximation
- Authors: Elizarova T.G.1, Ivanov A.V.2
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Affiliations:
- Institute of Applied Mathematics
- Faculty of Physics
- Issue: Vol 58, No 5 (2018)
- Pages: 714-734
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180214
- DOI: https://doi.org/10.1134/S0965542518050081
- ID: 180214
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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.
About the authors
T. G. Elizarova
Institute of Applied Mathematics
Author for correspondence.
Email: telizar@mail.ru
Russian Federation, Moscow, 125047
A. V. Ivanov
Faculty of Physics
Email: telizar@mail.ru
Russian Federation, Moscow, 119991
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