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Article Dans Une Revue Journal of Computational Physics Année : 2017

A model and numerical method for compressible flows with capillary effects

Résumé

A new model for interface problems with capillary effects in compressible fluids is presented together with a specific numerical method to treat capillary flows and pressure waves propagation. This new multiphase model is in agreement with physical principles of conservation and respects the second law of thermodynamics. A new numerical method is also proposed where the global system of equations is split into several submodels. Each submodel is hyperbolic or weakly hyperbolic and can be solved with an adequate numerical method. This method is tested and validated thanks to comparisons with analytical solutions (Laplace law) and with experimental results on droplet breakup induced by a shock wave.
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Dates et versions

hal-01297432 , version 1 (04-04-2016)
hal-01297432 , version 2 (20-10-2016)
hal-01297432 , version 3 (26-01-2017)

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Kevin Schmidmayer, Fabien Petitpas, Eric Daniel, Nicolas Favrie, Sergey Gavrilyuk. A model and numerical method for compressible flows with capillary effects. Journal of Computational Physics, 2017, 334, pp.468-496. ⟨10.1016/j.jcp.2017.01.001⟩. ⟨hal-01297432v3⟩
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