Journal ArticleDOI
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
TLDR
Numerical results are presented, demonstrating the accuracy of the numerical method and in particular, the accurate numerical description of the flow in the vicinity of a solid contact where phases couple and nozzling terms are important.About:
This article is published in Journal of Computational Physics.The article was published on 2006-03-01. It has received 180 citations till now. The article focuses on the topics: Godunov's scheme & Riemann solver.read more
Citations
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Journal ArticleDOI
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems
TL;DR: This article proposes a simple extension of the well-known Riemann solver of Osher and Solomon to a certain class of hyperbolic systems in non-conservative form, in particular to shallow-water-type and multi-phase flow models and shows applications of the first order version of the proposed path-conservative Osher-type scheme.
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
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
TL;DR: 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.
Journal ArticleDOI
FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
TL;DR: A new high order accurate centered path-conservative method on unstructured triangular and tetrahedral meshes for the solution of multi-dimensional non-conservative hyperbolic systems, as they typically arise in the context of compressible multi-phase flows.
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.
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.
Book
Numerical methods for conservation laws
TL;DR: In this paper, the authors describe the derivation of conservation laws and apply them to linear systems, including the linear advection equation, the Euler equation, and the Riemann problem.
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.
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