Combined Numerical Schemes | Sciact

Combined Numerical Schemes Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Output data

Year: 2022, Volume: 62, Number: 11, Pages: 1743-1782 Pages count : 40 DOI: 10.1134/S0965542522100025

Tags

combined schemes; high-order accurate shock-capturing methods; hyperbolic systems of conservation laws; shock waves

Authors

Bragin M.D. ^1,2 , Kovyrkina O.A. ³ , Ladonkina M.E. ¹ , Ostapenko V.V. ³ , Tishkin V.F. ¹ , Khandeeva N.A. ³

Affiliations

1	Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
2	Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141700 Russia
3	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia

Funding (3)

1	Министерство науки и высшего образования Российской Федерации	FWGG-2021-0001
2	Российский фонд фундаментальных исследований	21-51-53012 ГФЕН_а
3	Российский научный фонд	21-11-00198

A survey of works concerning high-order accurate numerical methods designed for shock-capturing computations of discontinuous solutions to hyperbolic systems of conservation laws is presented. The basic problems arising in the theory of such methods are formulated, and approaches to their solution are proposed. Primary attention is given to fundamentally new shock-capturing methods (known as combined schemes) that monotonically localize shock fronts, while preserving high accuracy in shock influence areas. Test computations are presented that demonstrate the significant advantages of combined schemes over standard NFC ones when applied to computing discontinuous solutions with shock waves.

Bragin M.D. , Kovyrkina O.A. , Ladonkina M.E. , Ostapenko V.V. , Tishkin V.F. , Khandeeva N.A.
Combined Numerical Schemes
Computational Mathematics and Mathematical Physics. 2022. V.62. N11. P.1743-1782. DOI: 10.1134/S0965542522100025 WOS Scopus РИНЦ OpenAlex

Брагин М.Д. , Ковыркина О.А. , Ладонкина М.Е. , Остапенко В.В. , Тишкин В.Ф. , Хандеева Н.А.
Комбинированные численные схемы
Журнал вычислительной математики и математической физики. 2022. Т.62. №11. С.1763-1803. DOI: 10.31857/S0044466922100027 РИНЦ OpenAlex

Web of science:	WOS:000915415100001
Scopus:	2-s2.0-85143163025
Elibrary:	53715131
OpenAlex:	W4310689768

DB	Citing
Scopus	8
OpenAlex	10
Elibrary	5
Web of science	4