On the accuracy of a MUSCL-type scheme when calculating discontinuous solutions Full article
| Journal |
Mathematical Models and Computer Simulations
ISSN: 2070-0482 |
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| Output data | Year: 2021, Volume: 13, Number: 5, Pages: 810-819 Pages count : 10 DOI: 10.1134/S2070048221050136 | ||
| Tags | accuracy of finite-difference scheme; combined scheme; MUSCL reconstruction; NT scheme; shock wave; WENO scheme | ||
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| Affiliations |
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Funding (1)
| 1 | Российский научный фонд | 16-11-10033-Продление |
Abstract:
The accuracy of the central difference Nessyahu-Tadmor (NT) scheme is studied when calculating shock waves propagating at a variable velocity. It is shown that this scheme (in the construction of which the second-order MUSCL reconstruction of flows is used) has approximately the first order of both local convergence in the regions of influence of shock waves and integral convergence in intervals, one of the boundaries of which is in the region of influence of the shock wave. As a result, in these areas, the local accuracy of the NT scheme is significantly reduced. Test calculations are presented that demonstrate these properties of the NT scheme.
Cite:
Kovyrkina O.A.
, Ostapenko V.V.
On the accuracy of a MUSCL-type scheme when calculating discontinuous solutions
Mathematical Models and Computer Simulations. 2021. V.13. N5. P.810-819. DOI: 10.1134/S2070048221050136 Scopus РИНЦ OpenAlex
On the accuracy of a MUSCL-type scheme when calculating discontinuous solutions
Mathematical Models and Computer Simulations. 2021. V.13. N5. P.810-819. DOI: 10.1134/S2070048221050136 Scopus РИНЦ OpenAlex
Original:
Ковыркина О.А.
, Остапенко В.В.
О точности схемы типа MUSCL при расчете разрывных решений
Математическое моделирование. 2021. Т.33. №1. С.105-121. DOI: 10.20948/mm-2021-01-08 РИНЦ OpenAlex
О точности схемы типа MUSCL при расчете разрывных решений
Математическое моделирование. 2021. Т.33. №1. С.105-121. DOI: 10.20948/mm-2021-01-08 РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85116380868 |
| Elibrary: | 47510122 |
| OpenAlex: | W3205540720 |