SOLUTION APPROACHES FOR FINITE-ELEMENT APPROXIMATION OF 3-D FLOWS

Andrey Viktorovich Wolkov

doi:10.1615/TsAGISciJ.v41.i3.50

俄罗斯空气动力研究所中心学报

总编辑: Sergei Leonidovich Chernyshev (open in a new tab)

副主编: Ivan Vladimirovich Egorov (open in a new tab)

International Executive Editorial Advisors: M. de Gliniasty (open in a new tab) C.W. Kauffman (open in a new tab) Jurgen Quest (open in a new tab) Gu Songfen (open in a new tab) Shinji Suzuki (open in a new tab)

每年出版 6 期

ISSN 打印: 1948-2590

ISSN 在线: 1948-2604

SOLUTION APPROACHES FOR FINITE-ELEMENT APPROXIMATION OF 3-D FLOWS

卷 41, 册 3, 2010, pp. 301-322

DOI: 10.1615/TsAGISciJ.v41.i3.50

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Andrey Viktorovich Wolkov
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation

摘要

Several variants of solving the systems of grid equations obtained at finite-element approximation of inviscid and viscid gas flows are considered. Developed is the algorithm of a new polynomial multigrid method of solution process acceleration, which is a generalization of the conventional multigrid algorithm. Examples of a numerical solution of three-dimensional problems concerning inviscid flow over a sphere and turbulent subsonic gas flow over a wing are given. The results are compared with the results obtained by the finite volume method. Based on the data obtained, one can draw a conclusion regarding the efficiency of the polynomial multigrid method.

键词: methods for solving grid equations, multigrid method, finite-element method, discontinuous Galerkin method

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