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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 857–873
(Mi zvmmf4690)
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This article is cited in 2 scientific papers (total in 2 papers)
High-accuracy difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion
N. Ya. Moiseev, I. Yu. Silant'eva All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770, Russia
Abstract:
A technique is proposed for improving the accuracy of the Godunov method as applied to gasdynamic simulations in one dimension. The underlying idea is the reconstruction of fluxes arsoss cell boundaries (“large” values) by using antidiffusion corrections, which are obtained by analyzing the differential approximation of the schemes. In contrast to other approaches, the reconstructed values are not the initial data but rather large values calculated by solving the Riemann problem. The approach is efficient and yields higher accuracy difference schemes with a high resolution.
Key words:
Godunov method, antidiffusion, high-accuracy difference schemes, gasdynamic equations.
Received: 29.07.2008
Citation:
N. Ya. Moiseev, I. Yu. Silant'eva, “High-accuracy difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 857–873; Comput. Math. Math. Phys., 49:5 (2009), 827–841
Linking options:
https://www.mathnet.ru/eng/zvmmf4690 https://www.mathnet.ru/eng/zvmmf/v49/i5/p857
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Abstract page: | 377 | Full-text PDF : | 157 | References: | 36 | First page: | 8 |
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