Godunov's scheme

Known as: Godunov, Godunov method, Godunov scheme 
In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for… (More)
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2006
2006
Aims. In this paper, we present a new method to perform numerical simulations of astrophysical MHD flows using the Adaptive Mesh… (More)
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2005
2005
We construct a solution to a 2 × 2 strictly hyperbolic system of conservation laws, showing that the Godunov scheme [12] can… (More)
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Highly Cited
2003
Highly Cited
2003
A method of second-order accuracy is described for integrating the equations of ideal compressible flow. The method is based on… (More)
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Highly Cited
2002
Highly Cited
2002
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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Highly Cited
2001
Highly Cited
2001
This paper presents an improved gas-kinetic scheme based on the Bhatnagar– Gross–Krook (BGK) model for the compressible Navier… (More)
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1999
1999
  • Thierry Bu, Thierry GalloueÈ, Jean-Marc He rardc
  • 1999
We present here an approximate Riemann solver to compute Euler equations using real gas state laws. The scheme is based on an… (More)
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Highly Cited
1997
Highly Cited
1997
We continue the construction and the analysis of essentially nonoscillatory shock capturing methods for the approximation of… (More)
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Highly Cited
1997
Highly Cited
1997
This paper presents an analysis of Godunov scheme in the low Mach number regime. We study the Riemann problem and show that the… (More)
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1996
1996
We are interested in the numerical resolution of hyperbolic systems of conservation laws which don't allow any analytical… (More)
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Highly Cited
1996
Highly Cited
1996
  • EITAN TADMORzxAbstract
  • 1996
A third-order accurate Godunov-type scheme for the approximate solution of hyperbolic systems of conservation laws is presented… (More)
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