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  4. A finite-volume particle method for compressible flows
 
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2000
Journal Article
Titel

A finite-volume particle method for compressible flows

Abstract
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 spatial mesh in a 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.
Author(s)
Hietel, D.
Steiner, K.
Struckmeier, J.
Zeitschrift
Mathematical models & methods in applied sciences
Thumbnail Image
DOI
10.1142/S0218202500000604
Language
English
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Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
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