%0 Journal Article
%A Wolkov, Andrey Viktorovich
%D 2010
%I Begell House
%K methods for solving grid equations, multigrid method, finite-element method, discontinuous Galerkin method
%N 3
%P 301-322
%R 10.1615/TsAGISciJ.v41.i3.50
%T SOLUTION APPROACHES FOR FINITE-ELEMENT APPROXIMATION OF 3-D FLOWS
%U http://dl.begellhouse.com/journals/58618e1439159b1f,6b06d4b644ed07e0,58d06dd303296bcf.html
%V 41
%X 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.
%8 2011-01-26