Journal ArticleDOI
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
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TLDR
An approximate Riemann solver of the HLLC-type for the Baer-Nunziato equations of compressible two-phase flow for the ''subsonic'' wave configuration is constructed and stationary contact waves are resolved exactly.About:
This article is published in Journal of Computational Physics.The article was published on 2010-05-01. It has received 148 citations till now. The article focuses on the topics: Riemann solver & Solver.read more
Citations
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Journal ArticleDOI
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
TL;DR: This paper provides the easiest and most seamless path for taking a pre-existing HLL RS and quickly and effortlessly converting it to a RS that provides improved results, comparable with those of an HLLC, HLLD, Osher or Roe-type RS.
Journal ArticleDOI
A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves
Marica Pelanti,Keh-Ming Shyue +1 more
TL;DR: Numerical results of sample tests in one and two space dimensions are presented that show the ability of the proposed model to describe cavitation mechanisms and evaporation wave dynamics.
Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
TL;DR: In this paper, the authors present space and space-time discontinuous Galerkin finite element (DGFEM) formulations for systems containing non-conservative products, such as occur in dispersed multiphase flow equations.
Journal ArticleDOI
A Godunov-type method for the seven-equation model of compressible two-phase flow
TL;DR: In this paper, the authors proposed a numerical strategy based on the derivation of a simple, accurate and explicit approximate Riemann solver for compressible seven-equation two-phase flow models.
Journal ArticleDOI
Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows
Richard Saurel,Carlos Pantano +1 more
TL;DR: In this article, the authors developed augmented systems of governing equations to extend the contact-capturing strategy for two-phase and multimaterial flows, which are called diffuse-interface models.
References
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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
Restoration of the contact surface in the HLL-Riemann solver
TL;DR: The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored and the resulting solver is simpler and computationally more efficient than the latter, particulaly for non-ideal gases.
Review Article Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Bernardo Cockburn,Chi-Wang Shu +1 more
TL;DR: The theoretical and algorithmic aspects of the Runge–Kutta discontinuous Galerkin methods are reviewed and several applications including nonlinear conservation laws, the compressible and incompressible Navier–Stokes equations, and Hamilton–Jacobi-like equations are shown.
Book
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
Bernardo Cockburn,Chi-Wang Shu +1 more
TL;DR: The Runge-Kutta discontinuous Galerkin (RKDG) method as discussed by the authors is one of the state-of-the-art methods for non-linear convection-dominated problems.
Journal ArticleDOI
A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
Melvin R. Baer,J.W. Nunziato +1 more
TL;DR: In this article, a two-phase mixture theory is presented which describes the deflagration-to-detonation transition (DDT) in reactive granular materials, based on the continuum theory of mixtures formulated to include the compressibility of all phases and the compaction behavior of the granular material.
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
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
Richard Saurel,Rémi Abgrall +1 more