A FICTITIOUS DOMAIN METHOD FOR EXTERNAL INCOMPRESSIBLE VISCOUS-FLOW MODELED BY NAVIER-STOKES EQUATIONS

Authors
GLOWINSKI R PAN TW PERIAUX J
Citation
R. Glowinski et al., A FICTITIOUS DOMAIN METHOD FOR EXTERNAL INCOMPRESSIBLE VISCOUS-FLOW MODELED BY NAVIER-STOKES EQUATIONS, Computer methods in applied mechanics and engineering, 112(1-4), 1994, pp. 133-148
Citations number
13
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
112
Issue
1-4
Year of publication
1994
Pages
133 - 148
Database
ISI
SICI code
0045-7825(1994)112:1-4<133:AFDMFE>2.0.ZU;2-6
Abstract
In this article we discuss a fictitious domain method for the numerica l solutions of three-dimensional elliptic problems with Dirichlet boun dary conditions and also of the Navier-Stokes equations modeling incom pressible viscous how. The methodology for the Navier-Stokes equations described here takes a systematic advantage of time discretization by operator splitting in order to treat separately advection, imbedding and incompressibility. Due to the decoupling, fast elliptic solvers ca n be used to treat the incompressibility condition even if the origina l problem is taking place on a nonregular geometry. The resulting meth odology is applied to two-dimensional unsteady external incompressible viscous flow problems and three-dimensional Stokes problems.