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This article is cited in 9 scientific papers (total in 9 papers)
Multigrid for finite-element discretizations of the equations of aerodynamics
V. T. Zhukov, O. B. Feodoritova Keldysh Institute of Applied Mathematics, Moscow, Russia
Abstract:
A multigrid algorithm for the solution of finite element stabilized discretization of compressible fluid dynamics equations on unstructured grids is described. Solution of the stationary problems is seached by time-stepping and a linearization of the non-linear discrete systems leads to a very large system of linear equations. These systems are ill-conditioned and require efficient computational procedures. The numerical experiments for Navier–Stokes and Euler systems are presented. The method can be easily included in a parallel library as preconditioner.
Keywords:
multigrid, preconditioner, finite-element method, unstructured grids.
Received: 26.04.2010
Citation:
V. T. Zhukov, O. B. Feodoritova, “Multigrid for finite-element discretizations of the equations of aerodynamics”, Matem. Mod., 23:1 (2011), 115–131; Math. Models Comput. Simul., 3:4 (2011), 446–456
Linking options:
https://www.mathnet.ru/eng/mm3068 https://www.mathnet.ru/eng/mm/v23/i1/p115
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Abstract page: | 583 | Full-text PDF : | 232 | References: | 65 | First page: | 16 |
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