An accurate boundary element method for Stokes flow in partially covered cavities
type: Item
instance of: scholarly article
title: An accurate boundary element method for Stokes flow in partially covered cavities
zbMATH Open document ID: 0999.76087
author: C. H. Driesen
author: J. G. M. Kuerten
published in: Computational Mechanics
publication date: 2000-11-21T00:00:00Z
review text: From authors' summary: The two-dimensional flow of viscous fluid over an etched hole is computed with a boundary element method. Only the regular part of the solution is computed with boundary element method by using a singularity substraction method, while the singular part of the solution -- due to the sharp corners -- is then added. But there are regions in which these regular and singular parts are of almost equal magnitude, being different in sign. To avoid the substraction and addition of large quantities where quantities of smaller order are computed, we introduce a domain decomposition technique which increases the accuracy. A new integral formulation is derived for the stream function in the form of a boundary integral over velocity and shear-stress components. Some results for arbitrary etched holes are also given.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 1501273
zbMATH Keywords: Stokes flow
zbMATH Keywords: two-dimensional flow
zbMATH Keywords: partially covered cavity
zbMATH Keywords: etched hole
zbMATH Keywords: boundary element method
zbMATH Keywords: regular part
zbMATH Keywords: singularity substraction method
zbMATH Keywords: singular part
zbMATH Keywords: sharp corners
zbMATH Keywords: domain decomposition technique
zbMATH Keywords: stream function
zbMATH Keywords: boundary integral
MaRDI profile type: Publication
full work available at URL: s004660050497
OpenAlex ID: W2120250367
DOI: 10.1007/S004660050497
description: scientific article; zbMATH DE number 1501273