Nonlinear resonance in systems of conservation laws
SIAM Journal on Applied Mathematics
Convergence of the 2×2 Godunov method for a general resonant nonlinear balance law
SIAM Journal on Applied Mathematics
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
A high-resolution numerical method for a two-phase model of deflagration-to-detonation transition
Journal of Computational Physics
Mathematical and numerical modeling of two-phase compressible flows with micro-inertia
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
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
Journal of Computational Physics
A Hybrid Algorithm for the Baer-Nunziato Model Using the Riemann Invariants
Journal of Scientific Computing
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
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
A gas kinetic scheme for the Baer-Nunziato two-phase flow model
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
We consider the Riemann problem for the two-phase flow model, proposed by Baer and Nunziato [Int. J. Multiphase Flows 12 (1986) 861]. It describes the flame spread and the deflagration-to-detonation transition (DDT) in gaspermeable, reactive granular materials. The model is given by a non-strictly hyperbolic, non-conservative system of partial differential equations. We investigate the structure of the Riemann problem and construct the exact solution for it. We establish that the solution across one wave is not unique and propose to use the evolutionarity criterion to single out the admissible solution. Due to special structure of the Riemann problem for the Baer-Nunziato model, we are able to introduce a notion of a weak solution for it. Finally, we propose a number of test cases, based on the exact solution to the Riemann problem for the Baer-Nunziato model.