Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme Full article
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Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 |
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| Output data | Year: 2018, Volume: 58, Number: 6, Pages: 950-966 Pages count : 17 DOI: 10.1134/S0965542518060155 | ||||
| Tags | difference analogue of entropy inequality; monotone CABARET scheme; scalar conservation law; strong discontinuity | ||||
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| Affiliations |
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Funding (1)
| 1 | Российский фонд фундаментальных исследований | 16-01-00333 |
Abstract:
Monotonicity conditions for the CABARET scheme approximating a quasilinear scalar conservation law with a convex flux are obtained. It is shown that the monotonicity of the CABARET scheme for Courant numbers r ∈ (0.5,1] does not ensure the complete decay of unstable strong discontinuities. For the CABARET scheme, a difference analogue of an entropy inequality is derived and a method is proposed ensuring the complete decay of unstable strong discontinuities in the difference solution for any Courant number at which the CABARET scheme is stable. Test computations illustrating these properties of the CABARET scheme are presented.
Cite:
Zyuzina N.A.
, Ostapenko V.V.
Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme
Computational Mathematics and Mathematical Physics. 2018. V.58. N6. P.950-966. DOI: 10.1134/S0965542518060155 WOS Scopus РИНЦ OpenAlex
Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme
Computational Mathematics and Mathematical Physics. 2018. V.58. N6. P.950-966. DOI: 10.1134/S0965542518060155 WOS Scopus РИНЦ OpenAlex
Original:
Зюзина Н.А.
, Остапенко В.В.
О распаде неустойчивых сильных разрывов при аппроксимации схемой КАБАРЕ скалярного закона сохранения с выпуклым потоком
Журнал вычислительной математики и математической физики. 2018. Т.58. №6. С.988-1012. DOI: 10.7868/s004446691806011x РИНЦ OpenAlex
О распаде неустойчивых сильных разрывов при аппроксимации схемой КАБАРЕ скалярного закона сохранения с выпуклым потоком
Журнал вычислительной математики и математической физики. 2018. Т.58. №6. С.988-1012. DOI: 10.7868/s004446691806011x РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000438129700011 |
| Scopus: | 2-s2.0-85049665559 |
| Elibrary: | 35734131 |
| OpenAlex: | W2822259254 |