Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations

Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Output data

Year: 2024, Volume: 64, Number: 1, Pages: 138-150 Pages count : 13 DOI: 10.1134/s0965542524010044

Tags

HYPERBOLIC SYSTEMS OF EQUATIONS, SHOCK WAVES, SHOCK-CAPTURING SCHEMES, ORDER OF ACCURACY, COMBINED SCHEMES

Authors

Bragin M.D. ^1,2

Affiliations

1	Federal research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
2	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

A new test problem for one-dimensional gas dynamics equations is considered. Initial data in the problem is a periodic smooth wave. Shock waves are formed in the gas flow over a finite time. The convergence under mesh refinement is analyzed for two third-order accurate linear schemes, namely, a bicompact scheme and Rusanov’s scheme. It is demonstrated that both schemes have only the first order of integral convergence in the shock influence area. However, when applied to equations of isentropic gas dynamics, the schemes converge with at least the second order.

Bragin M.D.
Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations
Computational Mathematics and Mathematical Physics. 2024. V.64. N1. P.138-150. DOI: 10.1134/s0965542524010044 WOS Scopus РИНЦ OpenAlex

Submitted:	Oct 5, 2022
Accepted:	Sep 16, 2023

Web of science:	WOS:001187462000012
Scopus:	2-s2.0-85188248682
Elibrary:	67306763
OpenAlex:	W4393060214

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