A penalization method applied to the wave equation

Comptes Rendus - Mecanique

Volumn 333, Issue 1, 2005, Pages 79-85

  Paccou, Aymeric ^a,b   Chiavassa, Guillaume ^a,b   Liandrat, Jacques ^a,b   Schneider, Kai ^c  

^a Lab d'informatique de Marseille   (France)

^b IMT   (France)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Computational fluid mechanics; Volume penalization; Wave equation

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL METHOD; WAVE;

CONFERENCE PAPER; FINITE ELEMENT ANALYSIS; FLOW KINETICS; FLOW RATE; GEOMETRY; MATHEMATICAL ANALYSIS; SIMULATION;

EID: 12744269084     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2004.09.019     Document Type: Conference Paper

References (16)

1. R. Glowinski, T.W. Pan, R.O. Wells Jr., and X. Zhou Wavelet and finite element solutions for the Neumann problem using fictitious domains J. Comput. Phys. 126 1 1996 40 51
2. C.S. Peskin Flow patterns around heart valves: a numerical method J. Comput. Phys. 10 2 1972 252 271
3. E. Arquis, and J.P. Caltagirone Sur les conditions hydrodynamiques au voisinage d'une interface milieu fluide-milieux poreux: application à la convection naturelle C. R. Acad. Sci. Paris, Ser. II 299 1984 1 4
4. P. Angot, C.H. Bruneau, and P. Fabrie A penalization method to take into account obstacles in incompressible viscous flows Numer. Math. 81 1999 497 520
5. K. Khadra, S. Parneix, P. Angot, and J.P. Caltagirone Ficticious domain approach for numerical modelling of Navier-Stokes equations Int. J. Numer. Methods Fluids 34 2000 651 684
6. N.K.R. Kevlahan, and J.M. Ghidaglia Computation of turbulent flow past an array of cylinders using a spectral method with Brinkmann penalization Eur. J. Mech. B Fluids 20 2001 333 350
7. M. Forestier, R. Pasquetti, R. Peyret, Calculations of 3D wakes in stratified fluids, ECCOMAS, 2000
8. K. Schneider, Modélisation et simulation numérique en base d'ondelettes adaptative, applications en mécanique des fluides et en combustion, Habilitation thesis, université Louis Pasteur Strasbourg, 2001
9. K. Schneider, and M. Farge Adaptative wavelet simulation of a flow around an impulsively started cylinder using penalisation Appl. Comput. Harm. Anal. 12 2002 374 380
10. M. Abramowitz, and I. Stegun Handbook of Mathematical Functions second ed. 1972 Dover New York
11. A. Paccou, Méthode de pénalisation et application à l'équation des ondes, Diploma thesis, université de Provence, Marseille, 2003
12. A.S. Piquemal, Préconditionnements multi-niveaux en ondelettes d'opérateurs elliptiques à coefficients variables discrétisés en différences finies, Ph.D. thesis, université de la Méditerrannée, Marseille, 2001
13. G. Chiavassa, and R. Donat Point value multi-scale algorithms for 2D compressible flows SIAM J. Sci. Comput. 23 3 2002 805 823
14. C.S. Peskin The immersed boundary method Acta Numerica vol. 11 2002 479 517
15. P. Angot Analysis of singular pertubations on the Brinkmann problem for ficticious domain models of vicious flows Math. Methods Appl. Sci. 22 1999 1395 1412
16. Yu-Heng Tseng, and J.H. Ferziger A ghost-cell immersed boundary method for flow in complex geometry J. Comput. Phys. 192 2 2003 593 623