A BEM-BDF scheme for curvature driven moving Stokes flows
type: Item
instance of: scholarly article
title: A BEM-BDF scheme for curvature driven moving Stokes flows
zbMATH Open document ID: 0837.76046
published in: Journal of Computational Physics
publication date: 1996-05-23T00:00:00Z
review text: Stokes flows with moving boundaries have been solved by using integral formulations. The numerical solution will be obtained by applying a boundary element method. At each time step the boundary deformation has to be performed. Difficulties appear because the boundary conditions include the accurate computation of the curvature. Furthermore, the boundary may undergo large distortions during the deformation and this leads to numerical inaccuracies in the calculation. In this paper a numerical integration technique to solve the motion of a certain class of Stokes flow, where the fluid is driven only by the boundary curvature, is presented. Finally, a system of nonlinear ordinary differential equations is obtained. It turns out that in many cases these differential equations are stiff. Therefore a complicated time step integration procedure has been introduced. As an example, the evolution problem of viscous sintering has been discussed. The viscous sintering process occurs when a porous pure glass is heated such that the glass becomes a viscous fluid. The flow causes densification of the glass.
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 819427
zbMATH Keywords: boundary curvature
zbMATH Keywords: time step integration procedure
zbMATH Keywords: evolution problem of viscous sintering
zbMATH Keywords: porous pure glass
zbMATH Keywords: densification
author: G. Alfred L. van de Vorst
author: R. M. M. Mattheij
reviewed by: Ingolf Teipel
MaRDI profile type: Publication
OpenAlex ID: W2052332772
DOI: 10.1006/JCPH.1995.1145
description: scientific article; zbMATH DE number 819427