Accuracy of MUSCL-Type Schemes in Shock Wave Calculations Full article
| Journal |
Doklady Mathematics
ISSN: 1064-5624 |
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| Output data | Year: 2020, Volume: 101, Number: 3, Pages: 209-213 Pages count : 5 DOI: 10.1134/S1064562420030126 | ||||
| Tags | : NT scheme; accuracy of finite-difference scheme; MUSCL flux reconstruction; shock wave | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Российский научный фонд | 16-11-10033-Продление |
Abstract:
The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.
Cite:
Kovykrina O.A.
, Ostapenko V.V.
Accuracy of MUSCL-Type Schemes in Shock Wave Calculations
Doklady Mathematics. 2020. V.101. N3. P.209-213. DOI: 10.1134/S1064562420030126 WOS Scopus РИНЦ OpenAlex
Accuracy of MUSCL-Type Schemes in Shock Wave Calculations
Doklady Mathematics. 2020. V.101. N3. P.209-213. DOI: 10.1134/S1064562420030126 WOS Scopus РИНЦ OpenAlex
Original:
Ковыркина О.А.
, Остапенко В.В.
О точности схем типа MUSCL при расчете ударных волн
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2020. Т.492. №1. С.43-48. DOI: 10.31857/s2686954320030121 РИНЦ OpenAlex
О точности схем типа MUSCL при расчете ударных волн
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2020. Т.492. №1. С.43-48. DOI: 10.31857/s2686954320030121 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000568010300009 |
| Scopus: | 2-s2.0-85090495809 |
| Elibrary: | 45303609 |
| OpenAlex: | W3086987646 |