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An Accurate Sharp Interface Method for Two-Phase Compressible Flows at Low-Mach Regime

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Abstract

An accurate numerical approach is presented for computing two-phase flows with surface tension at low-Mach regime. To develop such a model, where slight compressible effects are taken into account as well as correct thermodynamical closures, both the liquid and the gas are considered compressible and described by a precise compressible solver. A low-Mach correction has been implemented to eliminate excessive numerical dissipation. The interface between two-phase flows is captured by the level set method that is considered to be sharp. The interface capturing issue of the level set method within the Eulerian framework is the key point of the two-phase flow simulations, and in this work we propose a high-order coupled time-space approach for interface advection. Several numerical test-cases have been employed to validate the present numerical approach and enlighten its good performance.

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Acknowledgements

We warmly thank Samuel Kokh, Pascal Tremblin and Thomas Padioleau from Maison de la Simulation for their helpful suggestions and fruitful discussions. Ziqiang Zou is funded by a Ph.D. Grant from China Scholarship Council (CSC). We also thank Davide Zuzio to provide incompressible level set numerical results for Rayleigh–Taylor test-case.

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Authors and Affiliations

  1. Université Paris-Saclay, UVSQ, CNRS, CEA, Maison de la Simulation, 91191, Gif-sur-Yvette, France

    Ziqiang Zou & Edouard Audit

  2. Université Paris-Saclay, CNRS, LIMSI, 91400, Orsay, France

    Nicolas Grenier & Christian Tenaud

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  1. Ziqiang Zou
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  2. Edouard Audit
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  3. Nicolas Grenier
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  4. Christian Tenaud
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Correspondence to Ziqiang Zou.

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Zou, Z., Audit, E., Grenier, N. et al. An Accurate Sharp Interface Method for Two-Phase Compressible Flows at Low-Mach Regime. Flow Turbulence Combust 105, 1413–1444 (2020). https://doi.org/10.1007/s10494-020-00125-1

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