A numerical method using upwind schemes for the resolution of two-phase flows
Journal of Computational Physics
A density perturbation method to study the eigenstructure of two-phase flow equation systems
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
Numerical simulation of the homogeneous equilibrium model for two-phase flows
Journal of Computational Physics
A relaxation method for two-phase flow models with hydrodynamic closure law
Numerische Mathematik
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
Conservative Models and Numerical Methods for Compressible Two-Phase Flow
Journal of Scientific Computing
Modelling of an Homogeneous Equilibrium Mixture Model (HEM)
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
| Hi-index | 31.45 |
This work deals with the design and numerical approximation of an Eulerian mixture model for the simulation of two-phase dispersed flows. In contrast to the more classical two-fluid or Drift-flux models, the influence of the velocity disequilibrium is taken into account through dissipative second-order terms characterized by a Darcy law for the relative velocity. As a result, the convective part of the model is always unconditionally hyperbolic. We show that this model corresponds to the first-order equilibrium approximation of classical two-fluid models. A finite volume approximation of this system taking advantage of the hyperbolic nature of the convective part of the model and of the particular structural form of the dissipative part is proposed. Numerical applications are presented to assess the capabilities of the model.