Premium
The Method of Fundamental Solutions for Stokes flows with a free surface
Author(s) -
Poullikkas Andreas,
Karageorghis Andreas,
Georgiou Georgios,
Ascough John
Publication year - 1998
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10500
Subject(s) - die swell , free surface , stokes flow , surface tension , mathematics , surface (topology) , finite element method , partial differential equation , stokes problem , newtonian fluid , planar , mathematical analysis , flow (mathematics) , method of fundamental solutions , free boundary problem , boundary element method , boundary value problem , mechanics , boundary knot method , geometry , physics , materials science , computer science , thermodynamics , extrusion , computer graphics (images) , metallurgy
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 of the surface tension on the free surface. The results are in good agreement with existing finite element and boundary element solutions. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 667–678, 1998