Justification of the Method Of Integral Convergence for Studying the Accuracy of Difference Schemes Full article
| Journal |
Mathematical Models and Computer Simulations
ISSN: 2070-0482 |
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| Output data | Year: 2021, Volume: 13, Number: 6, Pages: 1028-1037 Pages count : 10 DOI: 10.1134/S207004822106017X | ||
| Tags | compact scheme; integrated convergence of difference schemes; Rusanov’s scheme; TVD-scheme; WENO scheme | ||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Российский научный фонд | 16-11-10033-Продление |
| 2 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0001 |
Abstract:
We justified the integral convergence method for studying the accuracy of finite-difference shock-capturing schemes in the numerical simulation of shock waves propagating at variable speed. For this, the order of integral convergence is determined using a series of numerical calculations on a family of nested difference meshes, which makes it possible to simulate a space-continuous difference solution of the corresponding Cauchy problem. This approach is used to study the accuracy of the explicit difference schemes of Rusanov, TVD and WENO, having a higher order of classical approximation, as well as an implicit compact scheme with artificial viscosity of the fourth order of divergence, which has the third order of both classical and weak approximations.
Cite:
Ostapenko V.V.
, Khandeeva N.A.
Justification of the Method Of Integral Convergence for Studying the Accuracy of Difference Schemes
Mathematical Models and Computer Simulations. 2021. V.13. N6. P.1028-1037. DOI: 10.1134/S207004822106017X Scopus РИНЦ OpenAlex
Justification of the Method Of Integral Convergence for Studying the Accuracy of Difference Schemes
Mathematical Models and Computer Simulations. 2021. V.13. N6. P.1028-1037. DOI: 10.1134/S207004822106017X Scopus РИНЦ OpenAlex
Original:
Остапенко В.В.
, Хандеева Н.А.
К обоснованию метода интегральной сходимости исследования точности разностных схем сквозного счета
Математическое моделирование. 2021. Т.33. №4. С.45-59. DOI: 10.20948/mm-2021-04-03 РИНЦ OpenAlex
К обоснованию метода интегральной сходимости исследования точности разностных схем сквозного счета
Математическое моделирование. 2021. Т.33. №4. С.45-59. DOI: 10.20948/mm-2021-04-03 РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85122018865 |
| Elibrary: | 47551486 |
| OpenAlex: | W4200026278 |