Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Finite volume approximation of two phase-fluid flows based on an approximate Roe-type Riemann solver
Journal of Computational Physics
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
Journal of Computational Physics
An approximate linearized Riemann solver for a two-fluid model
Journal of Computational Physics
Journal of Computational Physics
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Entropy splitting and numerical dissipation
Journal of Computational Physics
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Mathematical and numerical modeling of two-phase compressible flows with micro-inertia
Journal of Computational Physics
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
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
SIAM Journal on Numerical Analysis
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
Journal of Computational Physics
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
An exact Riemann solver for compressible two-phase flow models containing non-conservative products
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
SIAM Journal on Scientific Computing
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
Journal of Computational Physics
Journal of Computational Physics
Space-time discontinuous Galerkin finite element method for two-fluid flows
Journal of Computational Physics
Numerical approximation for a Baer-Nunziato model of two-phase flows
Applied Numerical Mathematics
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems
Journal of Scientific Computing
Hi-index | 31.45 |
A high-order numerical method is developed for the computation of compressible multiphase flows. The model we use is based on the Baer and Nunziato type systems [4]. Among all the other available models in the literature, these systems present the advantage to be able to simulate either interface or mixture problems. Nevertheless, they still raise some issues, mainly based on their non-conservative feature. The numerical method we propose is a discontinuous Galerkin type. In this work, the interior side integrals are computed thanks to [2]. Robustness and high order of accuracy of the method are proved on classical interface problems, but also on suitably derived analytical solutions.