A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori-Reference-Cited by-同舟云学术

A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori

Published:1997-02 Issue:3 Volume:324 Page:361-369
ISSN:0764-4442
Container-title:Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
language:en
Short-container-title:Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Author:

Glowinski Roland,Pan Tsorng-Whay,Periaux Jacques

Publisher

Elsevier BV

Subject

Pharmacology (medical)

Reference7 articles.

1. Flow patterns around heart valves: a numerical method;Peskin;J. Comput. Phys.,1972

2. Splitting and alternate directions methods;Marchuk,1990

3. On a penalty method for the Navier-Stokes problem in regions with moving boundaries;Amiez;Comp. Appl. Math.,1993

4. Error analysis of a fictitious method applied to a Dirichlet problem;Girault;Japan J. Indust. Appl. Math.,1995

5. Fictitious domain methods for incompressible viscous flow around moving rigid bodies;Glowinski,1996

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