A comparative study of numerical schemes for the Baer-Nunziato model

Abstract : The present paper is devoted to a comparison of numerical methods for the convective part of a two-phase flow model. Four explicit schemes are tested using Riemann problems or smooth solutions. The main criteria for comparing the methods are: the accuracy for a fixed size of mesh, the convergence, the robustness and the CPU time cost necessary to reach a fixed error. The conclusions of this study are the following. The classical Rusanov scheme is not competitive, as expected. The relaxation scheme seems to be more efficient than the VFROE-ncv method, especially regarding robustness. The staggered scheme, recently investigated for this model, is sometimes less accurate for a fixed size of mesh than the VFROE-ncv and relaxation schemes but is the most acurate for a fixed run time.
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Sophie Dallet. A comparative study of numerical schemes for the Baer-Nunziato model. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2016, 13, pp.1-37. ⟨hal-01412148⟩

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