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Journal of Computational Physics 169, 594623 (2001) doi:10.1006/jcph.2000.6685, available online at http://www.idealibrary.com on

Summary: Journal of Computational Physics 169, 594­623 (2001)
doi:10.1006/jcph.2000.6685, available online at http://www.idealibrary.com on
Computations of Compressible Multifluids
R´emi Abgrall and Smadar Karni,1
Math´ematiques Appliqu´ees, University of Bordeaux, 351 Cours de la Lib´eration,
33 405 Talence Cedex, France; and Department of Mathematics,
University of Michigan, Ann Arbor, Michigan 48109-1109
E-mail: Karni@math.lsa.umich.edu
Received December 16, 1999; revised November 17, 2000
Recent years have seen a growing interest in developing numerical algorithms
for compressible multifluids. Computations ran into unexpected difficulties due to
oscillations generated at material interfaces, and understanding of the underlying
mechanisms was needed before these oscillations could be circumvented. This paper
reviews some of the recent models and numerical algorithms that have been proposed
and points to key ideas that they have in common. Noting the known fact that such
oscillations do not arise in single-fluid computations, an extremely simple algorithm
is proposed which circumvents the oscillations and amounts to computing two dif-
ferent flux functions across material fronts, to update the different fluids on both
sides. c 2001 Academic Press


Source: Abgrall, Rémi - Institut de Mathematiques de Bordeaux, Université Bordeaux


Collections: Mathematics