Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 229, Issue 8, Pages 2773-2809Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.12.003
Keywords
Multi-component flows; Interface problems; Numerical diffusion; Compressible flows; Real fluids
Funding
- Neptune Project
- CEA (Commissariat A l'Energie Atomique)
- EDF (Electricite de France)
- IRSN (Institut de Radioprotection et de Surete Nucleaire)
- AREVA-NP
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We propose a discretization method of a five-equation model with isobaric closure for the simulation of interfaces between compressible fluids. This numerical solver is a Lagrange-Remap, scheme that aims at controlling the numerical diffusion of the interface between both fluids. This method does not involve any interface reconstruction procedure. The solver is equipped with built-in stability and consistency properties and is conservative with respect to mass, momentum, total energy and partial masses. This numerical scheme works with a very broad range of equations of state, including tabulated laws. Properties that ensure a good treatment of the Riemann invariants across the interface are proven. As a consequence, the numerical method does not create spurious pressure oscillations at the interface. We show one-dimensional and two-dimensional classic numerical tests. The results are compared with the approximate solutions obtained with the classic upwind Lagrange-Remap approach, and with experimental and previously published results of a reference test case. (C) 2009 Elsevier Inc. All rights reserved.
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