Browsing by Subject "Stokes flow"
Now showing items 1-7 of 7
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Article
The Method of Fundamental Solutions for Stokes Flows with a Free Surface
(1998)We investigate the use of the Method of Fundamental Solutions (MFS) for solving Stokes flow problems with a free surface. We apply the method to the creeping planar Newtonian extrudate-swell problem and study the effect ...
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Article
Microstructure-based, multiscale modeling for the mechanical behavior of hydrated fiber networks
(2008)A multiscale formulation is derived for the mechanics of a dilute fiber network microstructure, as occurs in in vitro reconstituted collagen gels, to accommodate the deterministic solution of a uniform-stress condition in ...
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Article
The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method
(1992)A Chebyshev spectral element collocation method is used for the numerical solution of laminar flow in a re-entrant tube geometry. The high accuracy of the method allows the study of the merging process of the vortices in ...
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Article
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional stokes flow
(2010)In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from ...
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Article
The simple layer potential method of fundamental solutions for certain biharmonic problems
(1989)A novel formulation of the method of fundamental solutions for the numerical solution of plane biharmonic problems, based on the simple layer potential representation of Fichera, is presented. The applicability and accuracy ...
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Article
A singular finite element for Stokes flow: The stick–slip problem
(1989)Abrupt changes in boundary conditions in viscous flow problems give rise to stress singularities. Ordinary finite element methods account effectively for the global solution but perform poorly near the singularity. In this ...
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Article
Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method
(2005)A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...