Nearly Singular Integrals in 3D Stokes Flow

Nearly Singular Integrals in 3D Stokes Flow

Year:    2013

Communications in Computational Physics, Vol. 14 (2013), Iss. 5 : pp. 1207–1227

Abstract

A straightforward method is presented for computing three-dimensional Stokes flow, due to forces on a surface, with high accuracy at points near the surface. The flow quantities are written as boundary integrals using the free-space Green's function. To evaluate the integrals near the boundary, the singular kernels are regularized and a simple quadrature is applied in coordinate charts. High order accuracy is obtained by adding special corrections for the regularization and discretization errors, derived here using local asymptotic analysis. Numerical tests demonstrate the uniform convergence rates of the method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.020812.080213a

Communications in Computational Physics, Vol. 14 (2013), Iss. 5 : pp. 1207–1227

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

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