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A mixture-energy-consistent numerical approximation of a two-phase flow model for fluids with interfaces and cavitation
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Pelanti, Marica Shyue, Keh-Ming |
| Copyright Year | 2012 |
| Abstract | We model cavitating flows by a variant of the six-equation single-velocity two-phase model with stiff mechanical relaxation of Saurel–Petitpas– Berry [J. Comput. Phys. 228, 1678 (2009)]. In our approach we employ phasic total energy equations instead of the phasic internal energy equations of the classical system. This alternative formulation allows us to easily design a simple numerical method that ensures consistency with mixture total energy conservation at the discrete level and agreement of the relaxed pressure with the correct mixture equation of state. The two-phase system is solved in two dimensions by a fully-discretized high-resolution wave propagation scheme based on a HLLC/Roe Riemann solver. Numerical experiments show the ability of the numerical model to describe mechanical cavitation processes. |
| Related Links | https://ensta-paris.hal.science/hal-01136009/file/cavi-hyp2012-27-07-13.pdf |
| Conference Proceedings | 14th International Conference on Hyperbolic Problems: Theory |
| Language | English |
| Publisher | HAL CCSD AIMS (American Institute of Mathematical Sciences) |
| Publisher Date | 2014-01-01 |
| Access Restriction | Open |
| Subject Keyword | pressure relaxation finite volume schemes Compressible two-phase flows Riemann solvers cavitation |
| Content Type | Text |
| Resource Type | Conference Proceedings |
| Subject | Computer Science |
