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MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Flow relaxation method in solving quasilinear parabolic equations
V. A. Usenko, A. I. Lobanov Moscow institute of physic and technology (State university)
Institutskiy per. 9, Dolgoprudny, 141700, Russia
Abstract:
This article proposes a numeric method of solution of quasilinear parabolic equations, based on the flux approximation, describes the implementation of the method on a rectangular grid and presents numerical results. Unlike methods used in common practice, this method uses an approximation of flows in non-dilated template. For each iteration of the Newton method it is possible to solve a linear problem using the method of upper relaxation (SOR). Compared with the methods of flux sweeping, the considered method has greater potential for use in modern parallel computing system.
Keywords:
parabolic quasilinear equation, red-black ordering, difference scheme, qasilinearization, SOR.
Received: 01.03.2011
Citation:
V. A. Usenko, A. I. Lobanov, “Flow relaxation method in solving quasilinear parabolic equations”, Computer Research and Modeling, 3:1 (2011), 47–53
Linking options:
https://www.mathnet.ru/eng/crm546 https://www.mathnet.ru/eng/crm/v3/i1/p47
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Abstract page: | 115 | Full-text PDF : | 58 | References: | 19 |
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