On Geurst's equations for inertial coupling in two phase flow
Two phase flows and waves
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Discrete equations for physical and numerical compressible multiphase mixtures
Journal of Computational Physics
The Riemann problem for the Baer-Nunziato two-phase flow model
Journal of Computational Physics
Modelling detonation waves in heterogeneous energetic materials
Journal of Computational Physics
Isentropic one-fluid modelling of unsteady cavitating flow
Journal of Computational Physics
Modelling evaporation fronts with reactive Riemann solvers
Journal of Computational Physics
A compressible flow model with capillary effects
Journal of Computational Physics
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
Journal of Computational Physics
An exact Riemann solver for compressible two-phase flow models containing non-conservative products
Journal of Computational Physics
Computers & Mathematics with Applications
Solid-fluid diffuse interface model in cases of extreme deformations
Journal of Computational Physics
Conservative Models and Numerical Methods for Compressible Two-Phase Flow
Journal of Scientific Computing
Journal of Computational Physics
Wavefronts in a Relativistic Two-Phase Turbulent Flow
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
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A new model with full coupling between micro- and macroscale motion is developed for compressible multiphase mixtures. The equations of motion and the coupling microstructural equation (an analogue of the Rayleigh-Lamb equation) are obtained by using the Hamilton principle of stationary action. In the particular case of bubbly fluids, the resulting model contains eight partial differential equations (one-dimensional case) and is unconditionally hyperbolic. The equations are solved numerically by an adapted Godunov method. The model and methods are validated for two very different test problems. The first one consists of a wave propagating in a liquid containing a small quantity of gas bubbles. Computed oscillating shock waves fit perfectly the experimental data. Then the one-dimensional multiphase model is used as a reduction tool for the multidimensional interaction of a shock wave with a large bubble. Good agreement is again obtained.