caa a22 4500 475805275 CHVBK 20180406123745.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s003320010006 doi (NATIONALLICENCE)springer-10.1007/s003320010006 A Hierarchy of Models for Two-Phase Flows [Elektronische Daten] [F. Bouchut, Y. Brenier, J. Cortes, J.-F. Ripoll] Summary. : We derive a hierarchy of models for gas-liquid two-phase flows in the limit of infinite density ratio, when the liquid is assumed to be incompressible. The starting model is a system of nonconservative conservation laws with relaxation. At first order in the density ratio, we get a simplified system with viscosity, while at the limit we obtain a system of two conservation laws, the system of pressureless gases with constraint and undetermined pressure. Formal properties of this constraint model are provided, and sticky blocks solutions are introduced. We propose numerical methods for this last model, and the results are compared with the two previous models. Springer-Verlag New York Inc., 2000 Key words. two-phase flow, conservation laws with relaxation, conservation laws with constraint, pressureless gas, sticky particles and blocks nationallicence Bouchut F. Département de Mathématiques et Applications, Ecole Normale Supérieure et CNRS, UMR 8553, 45, rue d'Ulm, 75230 Paris cedex 05, France e-mail: Francois.Bouchut@ens.fr, FR aut Brenier Y. Laboratoire d'Analyse Numérique, UMR 7598, Université P. et M. Curie, B.C. 187, Tour 55-65, 5ème étage, 4, place Jussieu, 75252 Paris, France e-mail: brenier@ann.jussieu.fr, FR aut Cortes J. CMLA UMR-8536, Ecole Normale Supérieure de Cachan, Département de Mathématiques, 61, avenue du président Wilson, 94235 Cachan cedex, France e-mail: cortes@cmla.ens-cachan.fr, FR aut Ripoll J.-F Mathématiques Appliquées de Bordeaux UMR 5466, Université de Bordeaux 1 et CNRS, 351, cours de la libération, 33405 Talence cedex, France e-mail: ripoll@math.u-bordeaux.fr, FR aut Journal of Nonlinear Science Springer-Verlag 10/6(2000-12-01), 639-660 0938-8974 10:6<639 2000 10 332 https://doi.org/10.1007/s003320010006 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003320010006 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bouchut F. Département de Mathématiques et Applications, Ecole Normale Supérieure et CNRS, UMR 8553, 45, rue d'Ulm, 75230 Paris cedex 05, France e-mail: Francois.Bouchut@ens.fr, FR aut NATIONALLICENCE 700 1- Brenier Y. Laboratoire d'Analyse Numérique, UMR 7598, Université P. et M. Curie, B.C. 187, Tour 55-65, 5ème étage, 4, place Jussieu, 75252 Paris, France e-mail: brenier@ann.jussieu.fr, FR aut NATIONALLICENCE 700 1- Cortes J. CMLA UMR-8536, Ecole Normale Supérieure de Cachan, Département de Mathématiques, 61, avenue du président Wilson, 94235 Cachan cedex, France e-mail: cortes@cmla.ens-cachan.fr, FR aut NATIONALLICENCE 700 1- Ripoll J.-F Mathématiques Appliquées de Bordeaux UMR 5466, Université de Bordeaux 1 et CNRS, 351, cours de la libération, 33405 Talence cedex, France e-mail: ripoll@math.u-bordeaux.fr, FR aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 10/6(2000-12-01), 639-660 0938-8974 10:6<639 2000 10 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer