Accession Number : ADP001017

Title :   A Free Boundary Problem in Newtonian Flow,

Corporate Author : WISCONSIN UNIV-MADISON 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 fixed-point iteration for the nonlinearities in the Navier-Stokes equations and a second-order 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 driven-cavity flow. However, the authors have instead chosen to test their code against three flows for which exact solutions are known: the Couette-Poiseuille flow, the Jeffrey-Hamel flow and Richardson's stick-slip 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