Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws Full article
| Journal |
Doklady Mathematics
ISSN: 1064-5624 |
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| Output data | Year: 2021, Volume: 104, Number: 3, Pages: 369-373 Pages count : 5 DOI: 10.1134/S1064562421060120 | ||||||
| Tags | Blast Wave problem; CABARET scheme; equations of gas dynamics; quasi-invariants method | ||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0001 |
| 2 | Российский фонд фундаментальных исследований | 21-51-53012 ГФЕН_а |
Abstract:
A method is proposed for constructing a CABARET scheme that approximates a hyperbolic system of conservation laws that cannot be written in the form of invariants. This technique is based on the method of quasi-invariants and additional flux correction, which ensures monotonization of the difference solution in calculating discontinuous solutions with shock waves and contact discontinuities. As an example, a system of conservation laws for nonisentropic gas dynamics with a polytropic equation of state is considered. Test calculations of the Blast Wave initial-boundary value problem showed that the proposed scheme suppresses nonphysical oscillations leading to the instability of the difference solution in the case when the CABARET scheme is used without additional flux correction.
Cite:
Ostapenko V.V.
, Kolotilov V.A.
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws
Doklady Mathematics. 2021. V.104. N3. P.369-373. DOI: 10.1134/S1064562421060120 WOS Scopus РИНЦ OpenAlex
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws
Doklady Mathematics. 2021. V.104. N3. P.369-373. DOI: 10.1134/S1064562421060120 WOS Scopus РИНЦ OpenAlex
Original:
Остапенко В.В.
, Колотилов В.А.
Применение схемы CABARET для расчета разрывных решений гиперболической систему законов сохранения
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2021. Т.501. С.62-66. DOI: 10.31857/s2686954321060126 РИНЦ OpenAlex
Применение схемы CABARET для расчета разрывных решений гиперболической систему законов сохранения
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2021. Т.501. С.62-66. DOI: 10.31857/s2686954321060126 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000776892300012 |
| Scopus: | 2-s2.0-85127674060 |
| Elibrary: | 48960227 |
| OpenAlex: | W4285337979 |