文章基本信息

标题：Galerkin Boundary Integral Equations Applied to Three Dimensional Stokes Flows
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作者：Jorge D’Elía ; Laura Battaglia ; Mario A. Storti 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2008
卷号：XXVII
期号：30
页码：2397-2410
出版社：CIMEC-INTEC-CONICET-UNL
摘要：In this work, steady creeping three dimensional flow of a viscous and incompressible fluid around closed rigid bodies is numerically solved using a Galerkin scheme applied to the Power-Miranda boundary integral equation. The related double surface integrals that account the pairwise interaction
among all boundary elements are quadruple and they are computed on flat simplex triangles using the scheme proposed by Taylor (D. J. Taylor, IEEE Trans. on Antennas and Propagation, 51(7):1630–1637 (2003)). Numerical examples include the creeping steady flow around the unit sphere and the unit cube, covering issues on the convergence under mesh refinement of the numerical solution, stability under small mesh perturbations and indifference of the drag force to the direction of the incoming velocity relative to a center line of the body.