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An acoustic-convective splitting-based approach for the Kapila two-phase flow model

Abstract : In this paper we propose a new acoustic-convective splitting-based numerical scheme for the Kapila five-equation two-phase flow model. The splitting operator decouples the acoustic waves and convective waves. The resulting two submodels are alternately numerically solved to approximate the solution of the entire model. The Lagrangian form of the acoustic submodel is numerically solved using an HLLC-type Riemann solver whereas the convective part is approximated with an upwind scheme. The result is a simple method which allows for a general equation of state. Numerical computations are performed for standard two-phase shock tube problems. A comparison is made with a non-splitting approach. The results are in good agreement with reference results and exact solutions.
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https://hal.archives-ouvertes.fr/hal-01416115
Contributor : Frédéric Daude Connect in order to contact the contributor
Submitted on : Wednesday, December 14, 2016 - 9:27:27 AM
Last modification on : Monday, February 10, 2020 - 6:14:09 PM

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M. F. P. ten Eikelder, Frédéric Daude, Barry Koren, Arris S. Tijsseling. An acoustic-convective splitting-based approach for the Kapila two-phase flow model. Journal of Computational Physics, Elsevier, 2017, 331, pp.188-208. ⟨10.1016/j.jcp.2016.11.031⟩. ⟨hal-01416115⟩

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