A Riemann solver is a numerical method used to solve a Riemann problem. They are heavily used in computational fluid dynamics and computationalâ€¦Â (More)

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2011

2011

Stability is achieved in most approximate Riemann solvers through â€˜flux upwindingâ€™, where the flux at the interface is arrived atâ€¦Â (More)

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2009

2009

- Xiangyu Hu, Nikolaus A. Adams, Gianluca Iaccarino
- J. Comput. Physics
- 2009

In this work, the HLLC Riemann solver, which is much more robust, simpler and faster than iterative Riemann solvers, is extendedâ€¦Â (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 theâ€¦Â (More)

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2008

2008

- Andrea Mignone
- 2008

We present a five-wave Riemann solver for the equations of ideal relativistic magnetohydrodynamics. Our solver can be regarded asâ€¦Â (More)

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2007

2007

- Andrea Mignone
- J. Comput. Physics
- 2007

A new approximate Riemann solver for the equations of magnetohydrodynamics (MHD) with an isothermal equation of state isâ€¦Â (More)

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2005

2005

A new multi-state Hartenâ€“Laxâ€“van Leer (HLL) approximate Riemann solver for the ideal magnetohydrodynamic (MHD) equations isâ€¦Â (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 algorithmâ€¦Â (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 oneâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- P. Batten, Nicholas Clarke, C. Lambert, Derek M. Causon
- SIAM J. Scientific Computing
- 1997

This paper considers a class of approximate Riemann solver devised by Harten, Lax, and van Leer (denoted HLL) for the Eulerâ€¦Â (More)

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1997

1997

- Wenlong Dai, Paul R. Woodward
- SIAM J. Scientific Computing
- 1997

An approximate method for solving the Riemann problem is needed to construct Godunov schemes for relativistic hydrodynamicalâ€¦Â (More)

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