Upwind scheme

Known as: Upwind differencing scheme, Upwinding, Upwind method 
In computational physics, upwind schemes denote a class of numerical discretization methods for solving hyperbolic partial differential equations… (More)
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2011
2011
We consider the semidiscrete upwind scheme (0.1) u(t, x)t + 1 ( f ( u(t, x) ) − f ( u(t, x− ) )) = 0. We prove that if the… (More)
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2008
2008
We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids… (More)
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Highly Cited
2007
Highly Cited
2007
A family of Godunov-type central-upwind schemes for the Saint-Venant system of shallow water equations has been first introduced… (More)
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2005
2005
The E-CUSP upwind scheme recently developed by Zha and Hu is extended to the moving grid system and is applied to calculate the… (More)
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Highly Cited
2001
Highly Cited
2001
We introduce new Godunov-type semidiscrete central schemes for hyperbolic systems of conservation laws and Hamilton–Jacobi… (More)
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Highly Cited
1999
Highly Cited
1999
Kenneth G. Powell, ∗ Philip L. Roe, ∗ Timur J. Linde, ∗ Tamas I. Gombosi, † and Darren L. De Zeeuw † ∗W. M. Keck Foundation CFD… (More)
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Highly Cited
1999
Highly Cited
1999
An algorithm for extending one-dimensional, forward-in-time, upstre~~bias~. ftu~-fonn transport schem~s (e.g., the van Leer… (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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Highly Cited
1995
Highly Cited
1995
The theory of non-oscillatory scalar schemes is developed in this paper in terms of the local extremum diminishing (LED… (More)
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1986
1986
We analyze a special finite difference scheme of upwind type for an ordinary singularly perturbed nonlinear boundary value… (More)
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