
Accession Number : ADP001017
Title : A Free Boundary Problem in Newtonian Flow,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Pritchard,W. G. ; Renardy,Yuriko ; Scott,L. R.
Report Date : FEB 1983
Pagination or Media Count : 8
Abstract : The construction of a computer program or code to solve steady free surface flows with surface tension at small Reynolds numbers is described. The code uses fixedpoint iteration for the nonlinearities in the NavierStokes equations and a secondorder finite element scheme. Before using the code on general flow problems such as coating flows, it is necessary to test it as throughly and rigorously as possible. Numerical tests for such a code are usually only done against a previously computed approximate solution to the drivencavity flow. However, the authors have instead chosen to test their code against three flows for which exact solutions are known: the CouettePoiseuille flow, the JeffreyHamel flow and Richardson's stickslip flow. Convergence tests are presented. (Author)
Descriptors : *Boundary value problems, *Fluid flow, *Computer programs, Navier Stokes equations, Reynolds number, Finite element analysis, Equations of motion, Solutions(General), Iterations, Convergence, Test methods
Distribution Statement : APPROVED FOR PUBLIC RELEASE