On increasing the accuracy of difference schemes when calculating centered rarefaction waves

On increasing the accuracy of difference schemes when calculating centered rarefaction waves Full article

Journal

Mathematical Models and Computer Simulations
ISSN: 2070-0482

Output data

Year: 2025, Volume: 17, Pages: 193-203 Pages count : 11 DOI: 10.1134/S2070048224701059

Tags

shallow water equations, centered rarefaction waves, shock capturing schemes of increased accuracy

Authors

Ostapenko V.V. ¹ , Polunina E.I ¹ , Khandeeva N.A. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

A method is proposed that makes it possible to increase the accuracy of shock capturing numerical schemes inside centered rarefaction waves arising as a result of the discontinuity decay in the initial data of the approximated Cauchy problem for a hyperbolic system of conservation laws. This method is based on the condensation of the numerical grid at a certain initial time interval of the considered problem. Test calculations of the special Cauchy problem for shallow water equations are presented, demonstrating the capabilities of this method.

Ostapenko V.V. , Polunina E.I. , Khandeeva N.A.
On increasing the accuracy of difference schemes when calculating centered rarefaction waves
Mathematical Models and Computer Simulations. 2025. V.17. P.193-203. DOI: 10.1134/S2070048224701059 Scopus РИНЦ

Остапенко В.В. , Полунина Е.И. , Хандеева Н.А.
О повышении точности разностных схем при расчете центрированных волн разрежения
Математическое моделирование. 2024. Т.36. №6. С.119-134. DOI: 10.20948/mm-2024-06-08 РИНЦ OpenAlex

Submitted:	Apr 1, 2024
Accepted:	Jun 17, 2024

Scopus:	2-s2.0-105003827228
Elibrary:	82023105

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