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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… 
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Related topics

Related topics

19 relations
AUSMComputational fluid dynamicsCourant–Friedrichs–Lewy conditionEuler method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Dispersive tsunami waves in the ocean: Model equations and sensitivity to dispersion and Coriolis effects
Highly Cited
2008
Highly Cited
2008
An improved reconstruction method for compressible flows with low Mach number features
Highly Cited
2008
Highly Cited
2008
Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
This paper is concerned with the development of well-balanced high order numerical schemes for systems of balance laws with a… 
Highly Cited
2007
Highly Cited
2007
Finite volume solvers and movingleast-squares approximations for thecompressible Navier-Stokes equations onunstructured grids
Highly Cited
2006
Highly Cited
2006
Coupled model of surface water flow, sediment transport and morphological evolution
Highly Cited
2003
Highly Cited
2003
Godunov-type Schemes: An Introduction for Engineers
Scalar conservation laws hyperbolic systems of conservation laws an outline of Godunov-type schemes the Godunov method for scalar… 
Highly Cited
2002
Highly Cited
2002
c ○ ESO 2002 Astronomy Astrophysics
  • 2002
  • Corpus ID: 5504247
Highly Cited
1997
Highly Cited
1997
SOLUTION OF THE 2D SHALLOW WATER EQUATIONS USING THE FINITE VOLUME METHOD ON UNSTRUCTURED TRIANGULAR MESHES
SUMMARY A 2D, depth-integrated, free surface flow solver for the shallow water equations is developed and tested. The solver is… 
Highly Cited
1996
Highly Cited
1996
THE GODUNOV SCHEME AND WHAT IT MEANS FOR FIRST ORDER TRAFFIC FLOW MODELS
In the present paper, it is shown that most recent discretizations of macroscopic first order traffic flow models are equivalent… 
Highly Cited
1994
Highly Cited
1994
A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
The authors present a higher-order Godunov method for the solution of the two- and three-dimensional equations of ideal… 
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