Riemann solver

A Riemann solver is a numerical method used to solve a Riemann problem. They are heavily used in computational fluid dynamics and computational… (More)
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1984-2017
010203019842017

Papers overview

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2011
2011
Stability is achieved in most approximate Riemann solvers through ‘flux upwinding’, where the flux at the interface is arrived at… (More)
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2009
2009
In this work, the HLLC Riemann solver, which is much more robust, simpler and faster than iterative Riemann solvers, is extended… (More)
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2008
2008
  • L U C I A N O R E Z Z O L L A, A N D O L I N D O Z A N O T T I
  • 2008
A Riemann problem with prescribed initial conditions will produce one of three possible wave patterns corresponding to the… (More)
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2008
2008
We present a five-wave Riemann solver for the equations of ideal relativistic magnetohydrodynamics. Our solver can be regarded as… (More)
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2007
2007
A new approximate Riemann solver for the equations of magnetohydrodynamics (MHD) with an isothermal equation of state is… (More)
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2005
2005
A new multi-state Harten–Lax–van Leer (HLL) approximate Riemann solver for the ideal magnetohydrodynamic (MHD) equations is… (More)
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Highly Cited
2003
Highly Cited
2003
A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented. The algorithm… (More)
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2001
2001
We construct a Riemann solver based on two-dimensional linear wave contributions to the numerical flux that generalizes the one… (More)
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Highly Cited
1997
Highly Cited
1997
This paper considers a class of approximate Riemann solver devised by Harten, Lax, and van Leer (denoted HLL) for the Euler… (More)
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1997
1997
An approximate method for solving the Riemann problem is needed to construct Godunov schemes for relativistic hydrodynamical… (More)
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