A model and numerical method for compressible flows with capillary effects
Résumé
A new model for interface problems and capillary effects in compressible fluids is presented together with a specific numerical method to treat capillary flows and pressure waves propagation. This new model is in agreement with physical principles of conservation, respects the second law of thermodynamics and is shown hyperbolic in a 3D framework. A new numerical method is also proposed where the global system of equations is split into several submodels. Each submodel is 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 the first stage of droplet breakup induced by a shock wave.
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HAL - Schmidmayer K - A model and numerical method for compressible flows with capillary effects.pdf (6.84 Mo)
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