# A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model

@article{Coquel2016APA, title={A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model}, author={Fr{\'e}d{\'e}ric Coquel and Jean-Marc H{\'e}rard and Khaled Saleh}, journal={J. Comput. Phys.}, year={2016}, volume={330}, pages={401-435} }

## 30 Citations

### A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow

- MathematicsJ. Comput. Phys.
- 2016

### Simulation and preliminary validation of a three-phase flow model with energy

- MathematicsComputers & Fluids
- 2021

### A relaxation scheme for a hyperbolic multiphase flow model

- PhysicsESAIM: Mathematical Modelling and Numerical Analysis
- 2019

This article is the first of two in which we develop a relaxation finite volume scheme for the convective part of the multiphase flow models introduced in the series of papers (Hérard, C.R. Math. 354…

### A comparative study of numerical schemes for the Baer-Nunziato model

- Mathematics
- 2016

The present paper is devoted to a comparison of numerical methods for the convective part of a two-phase flow model. Four explicit schemes are tested using Riemann problems or smooth solutions. The…

### A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications

- Computer ScienceComput. Math. Appl.
- 2019

### A pressure‐based method for weakly compressible two‐phase flows under a Baer–Nunziato type model with generic equations of state and pressure and velocity disequilibrium

- PhysicsInternational Journal for Numerical Methods in Fluids
- 2022

Within the framework of diffuse interface methods, we derive a pressure‐based Baer–Nunziato type model well‐suited to weakly compressible multiphase flows. The model can easily deal with different…

### A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms

- PhysicsAdvances in Computational Mathematics
- 2019

We construct a numerical scheme for a model of two-phase flows. The keystone is the treatment of nonconservative terms using stationary contact discontinuities. The nonconservative terms are absorbed…

### HLLC-type Riemann solver with approximated two-phase contact for the computation of the Baer-Nunziato two-fluid model

- Computer ScienceJ. Comput. Phys.
- 2016

### Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator

- PhysicsArXiv
- 2019

A novel pressure-based method for weakly compressible multiphase flows, based on a non-equilibrium Baer and Nunziato-type model with absence of oscillations and the agreement with analytical or published solutions is demonstrated in simplified test cases, confirming the validity of the proposed approach.

### A staggered-projection Godunov-type method for the Baer-Nunziato two-phase model

- PhysicsJ. Comput. Phys.
- 2021

## References

SHOWING 1-10 OF 42 REFERENCES

### A Robust Entropy-Satisfying Finite Volume Scheme for the Isentropic Baer-Nunziato Model

- Mathematics
- 2014

We construct an approximate Riemann solver for the isentropic Baer-Nunziato two-phase flow model, that is able to cope with arbitrarily small values of the statistical phase fractions. The solver…

### A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow

- MathematicsJ. Comput. Phys.
- 2016

### HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow

- MathematicsJ. Comput. Phys.
- 2010

### The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

- EngineeringJ. Comput. Phys.
- 2006

### A comparative study of numerical schemes for the Baer-Nunziato model

- Mathematics
- 2016

The present paper is devoted to a comparison of numerical methods for the convective part of a two-phase flow model. Four explicit schemes are tested using Riemann problems or smooth solutions. The…

### A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows

- Computer Science
- 1999

A new model and a solution method for two-phase compressible flows is proposed that provides reliable results, is able to compute strong shock waves, and deals with complex equations of state.

### A robust numerical method for approximating solutions of a model of two-phase flows and its properties

- MathematicsAppl. Math. Comput.
- 2012