## A Finite - Volume Particle Method for CompressibleFlows

• We derive a new class of particle methods for conservation laws, which are based on numerical flux functions to model the interactions between moving particles. The derivation is similar to that of classical Finite-Volume methods; except that the fixed grid structure in the Finite-Volume method is substituted by so-called mass packets of particles. We give some numerical results on a shock wave solution for Burgers equation as well as the well-known one-dimensional shock tube problem.

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Author: Dietmar Hietel, Konrad Steiner, Jens Struckmeier urn:nbn:de:hbz:386-kluedo-7078 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (1) Preprint English 1998 1998 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2000/04/03 Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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