✦ LIBER ✦

Surface pressure solution for boundary-element analysis of stokes flow

✍ Scribed by Ingber, Marc S. ;Li, Jing

Publisher: Wiley (John Wiley & Sons)
Year: 1991
Tongue: English
Weight: 473 KB
Volume: 7
Category: Article
ISSN: 0748-8025
DOI: 10.1002/cnm.1630070504

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✦ Synopsis

Abstract

Analysis of creeping flow problems using the boundary‐element method is now well established. The method is based on the transformation of the governing partial differential equations into a boundary integral equation for the velocity at arbitrary field points in terms of the surface velocities and tractions. Associated with the velocity boundary integral equation is a pressure boundary integral equation. The singularities contained in the kernel functions for the pressure boundary integral equation are an order higher than for the velocity boundary integral equation. Hence, for field points along the boundary of the domain, the pressure boundary integral equation is hypersingular, causing difficulties in evaluating the surface pressure. A method of regularization for the pressure boundary integral equation in which the hypersingular integral is converted into a Cauchy principal value integral is discussed. Some example applications are presented.

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