Computing hyperbolic two-fluid models with a porous interface
Résumé
The paper examines the suitability of some finite-volume schemes in order to compute two-fluid models in a porous medium. The hyperbolic two-fluid model is governed by an entropy inequality, and admits unique jump conditions. Closure laws for drag effects and heat exchange are in agreement with standard single pressure two-fluid models. Emphasis is put on the behaviour of finite volume schemes when the computational domain contains a sharp porosity variation. Only two among the three schemes examined herein are shown to preserve a basic porous solution, whatever the mesh size is. Other properties including the preservation of the maximum principle for the void fractions are discussed, and the true behaviour of schemes in a test case representative of the propagation of a rarefaction wave in a pipe with sudden contraction is presented. The behaviour of the third scheme is indeed much better.
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