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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1998, Volume 1, Number 1, Pages 77–88
(Mi sjvm293)
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This article is cited in 3 scientific papers (total in 3 papers)
Approximation of Hugoniot's conditions by explicit conservative difference schemes for non-stationar shock waves
V. V. Ostapenko M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
Abstract:
Introducted here, is the concept of (ε,δ)-Hugoniot's condition being the relatioship which links generalised solution magnitudes in points (t−δ,x(t)+ε) and (t+δ,x(t)−ε) for both sides of non-stationary shock wave front line x=x(t). It is showed here, that the explicit bi-layer with respect to time conservative difference schemes for δ≠0 approximate (ε,δ)-Hugoniot's conditions only with the first order, independent of their accuracy for smooth solutions. At the same time, if the front lines are quite smooth, then for δ=0 these schemes approximate (ε,0)-Hugoniot's conditions with the same order they have for smooth solutions.
Received: 18.10.1997
Citation:
V. V. Ostapenko, “Approximation of Hugoniot's conditions by explicit conservative difference schemes for non-stationar shock waves”, Sib. Zh. Vychisl. Mat., 1:1 (1998), 77–88
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https://www.mathnet.ru/eng/sjvm293 https://www.mathnet.ru/eng/sjvm/v1/i1/p77
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Abstract page: | 269 | Full-text PDF : | 112 | References: | 60 |
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