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TsAGI Science Journal

ISSN Imprimer: 1948-2590
ISSN En ligne: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v41.i3.50
pages 301-322

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

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

RÉSUMÉ

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.


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