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;Une Méthode de multiplicateurs de Lagrange et domaines fictifs pour la simulation numérique d'ecoulements de fluides visqueux incompressibles autour de corps rigides en mouvement : (I) cas òu le mouvement des corps rigides est connu a priori

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 3, 1997, Pages 361-369

  Glowinski, Roland ^a,b   Pan, Tsorng Whay ^a   Periaux, Jacques ^c  

^a University of Houston   (United States)

^b SORBONNE UNIVERSITÉ   (France)

^c DASSAULT AVIATION   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031066765     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80376-0     Document Type: Article

References (7)

1. [1] Peskin C. Y., 1972. Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10, pp. 252-271.
2. [2] Marchuk G. I., 1990. Splitting and alternate directions methods, Handbook of Numerical Analysis, I, Ciarlet P. G. and Lions J.-L. Eds., North-Holland, Amsterdam, pp. 197-462.
3. [3] Amiez G. and Gremaud P. A., 1993. On a penalty method for the Navier-Stokes problem in regions with moving boundaries, Comp. Appl. Math., 12, pp. 113-122.
4. [4] Girault V. and Glowinski R., 1995. Error analysis of a fictitious method applied to a Dirichlet problem, Japan J. Indust. Appl. Math., 12, pp. 487-514.
5. [5] Glowinski R., Pan T. W. and Periaux J., Fictitious domain methods for incompressible viscous flow around moving rigid bodies, in the Proceedings of MAFELAP 1996, Brunel University, UK (to appear).
6. [6] Glowinski R., 1984. Numerical methods for nonlinear variational problems, Springer-Verlag, New York.
7. [7] Glowinski R., Pan T. W. and Periaux J., 1994. A fictitious domain method for Dirichlet problems and applications, Comput. Methods Appl. Mech. Engrg., 111, pp. 283-303.