A model and numerical method for compressible flows with capillary effects

作者: Kevin Schmidmayer , Fabien Petitpas , Eric Daniel , Nicolas Favrie , Sergey Gavrilyuk

DOI: 10.1016/J.JCP.2017.01.001

关键词: Numerical analysisCapillary actionCompressible flowMathematicsMechanicsClassical mechanicsSecond law of thermodynamicsShock waveLaplace transformSurface tensionCompressibility

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

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