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Journal of Scientific Computing 48, 1-3 (2011) 296-303
A conservative method for the simulation of the isothermal Euler system with the van-der-Waals equation of state
Vincent Perrier 1, 2
(2011)

In this article, we are interested in the simulation of phase transition in compressible flows, with the isothermal Euler system, closed by the van-der-Waals model. We formulate the problem as an hyperbolic system, with a source term located at the interface between liquid and vapour. The numerical scheme is based on [1, 5]. Compared with previous discretizations of the van-der-Waals system, the novelty of this algorithm is that it is fully conservative. Its Godunov-type formulation allows an easy implementation on multidimensional unstructured meshes.
1 :  CAGIRE (INRIA Bordeaux - Sud-Ouest)
INRIA
2 :  Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP)
CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA]
Mathématiques/Analyse numérique
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