By Said Benachour, Alain Yves Le Roux, Marie Noëlle Le Roux (auth.), Claude Carasso, Pierre Charrier, Bernard Hanouzet, Jean-Luc Joly (eds.)
The papers integrated during this lawsuits quantity are often unique study papers, facing life-span of waves, nonlinear interplay of waves, and diverse purposes to fluid mechanics.
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Extra info for Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988
Example text
The early work of HPP used a square lattice with particles hoping from one node to one of its nearest neighbour. Particles are undistinguishable so that instead of using a lagrangian description, as it is commonly done in molecular dynamics, an eulerian description is preferred. The system is fully determined b y t h e set of numbers hi(r/, tk) where i • { 1 , . . , 4} represents the four directions of space from one node to its four nearest neighbours and r j labels the nodes of the lattice. An additional assumption, which simplifies the subsequent numerical simulations, is the introduction of a Boolean character for the particles, which means that any of the numbers ni is equal to 0 or 1.
La version curviligne du schema de Godounov 2-D est sensiblement plus complexe. 41 Un rep~re curviligne chaque pas de temps. intrins~ques [resp. local (~, n) est d~fini pour chaque maille en d~but de Les ~quations de vitesse (~k' ~n ) [resp. q]. Les schemas num~riques cart~sien, par d'Euler integration second membre des ~quations sur sont consid~r~es (~k' Pn )] pour chaque ligne de coordonn~e grille variable l'~l~ment de de l'impulsion, coordonn@e et de la non-orthogonalit~ selon les composantes est alors b~ti comme dans le cas volume.
GODOUNOV et al. "R~solution des probl~mes multidimensionnels de la dynamique des gaz" Edition Mir, Moscou (1979). 131 H. JOURDREN "Rencontre 87 CEA/DAM-LANL" - preprint (1987). 141 A. HARTEN J. Comput. Phys. 49 (1983), 357. K. SWEBY SIAM J. Numer. Anal. 21 (1984), 995. F. NOH J. Comput. Phys. 72 (1988), 78. /7/ B. VAN LEER J. Comput. Phys. 32 (1979), i01. /8/ C. CHERFILS Th&se PARIS Vl (1988). REVIEW OF F L O W SIMULATIONS USING LATTICE GASES D. d'Humi~res, P. H. Qian Laboratoire de Physique Statistique associ@ au CNRS et k l'Universit~ Pierre et Marie Curie Ecole Normale Sup~rieure 24 Rue Lhomond 75231 Paris Cedex 05 Abstract Lattice gases are first defined as a new way to perform molecular dynamics calculations in a simplified manner but at large speeds thus allowing to consider enough particles to simulate real flows.