Journal ArticleDOI
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
Richard Saurel,Rémi Abgrall +1 more
TLDR
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.About:
This article is published in Journal of Computational Physics.The article was published on 1999-04-10. It has received 906 citations till now. The article focuses on the topics: Euler equations & Godunov's scheme.read more
Citations
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Book
Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Journal ArticleDOI
Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
TL;DR: In this paper, the Baer-Nunziato model is reduced to a two-phase mixture model with unequal phase velocities and phase pressures, and the reduced models are hyperbolic and thermodynamically consistent with the parent model, but they cannot be expressed in conservation form and hence require a regularization in order to specify the jump conditions across shock waves.
Journal ArticleDOI
Computations of compressible multifluids
Rémi Abgrall,Smadar Karni +1 more
TL;DR: An extremely simple algorithm is proposed which circumvents the oscillations and amounts to computing two different flux functions across material fronts, to update the different fluids on both sides.
Journal ArticleDOI
A five-equation model for the simulation of interfaces between compressible fluids
TL;DR: In this article, a diffuse-interface method is proposed for the simulation of interfaces between compressible fluids with general equations of state, including tabulated laws, and the interface is allowed to diffuse on a small number of computational cells.
Journal ArticleDOI
A five equation reduced model for compressible two phase flow problems
Angelo Murrone,Hervé Guillard +1 more
TL;DR: In this article, an Eulerian diffuse interface model for the simulation of compressible multifluid and two-phase flow problems is presented. But this model is based on a seven equation, two pressure, two velocity model of Baer-Nunziato type using an asymptotic analysis in the limit of zero relaxation time.
References
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Journal ArticleDOI
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
Book
Riemann Solvers and Numerical Methods for Fluid Dynamics
TL;DR: In this article, the authors present references and index Reference Record created on 2004-09-07, modified on 2016-08-08 and a reference record created on 2003-09 -07.
Journal ArticleDOI
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
TL;DR: This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes.
Related Papers (5)
A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
Melvin R. Baer,J.W. Nunziato +1 more