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Journal Articles Computers and Fluids Year : 2013

Random sampling remap for compressible two-phase flows

Abstract

In this paper, we address the problem of solving accurately gas-liquid compressible flows, without pressure oscillations at the gas-liquid interface. We introduce a new Lagrange-projection scheme based on a random sampling technique of Chalons and Goatin. We compare it to a Ghost Fluid approach introduced previously. Despite the non-conservative feature of the schemes, we observe the numerical convergence towards the relevant weak solution, for shock-contact interaction test cases. Finally, we apply the new scheme to the computation of the oscillations of a spherical air bubble inside water.
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Dates and versions

hal-00546919 , version 1 (15-12-2010)
hal-00546919 , version 2 (04-03-2014)

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Mathieu Bachmann, Philippe Helluy, Jonathan Jung, Hélène Mathis, Siegfried Müller. Random sampling remap for compressible two-phase flows. Computers and Fluids, 2013, 86, pp.275-283. ⟨10.1016/j.compfluid.2013.07.010⟩. ⟨hal-00546919v2⟩
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