TsAGI Science Journal
Published 6 issues per year
ISSN Print: 1948-2590
ISSN Online: 1948-2604
SOLUTION APPROACHES FOR FINITE-ELEMENT APPROXIMATION OF 3-D FLOWS
Volume 41,
Issue 3, 2010,
pp. 301-322
DOI: 10.1615/TsAGISciJ.v41.i3.50
ABSTRACT
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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