A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations

We propose a simple well-balanced method named the slope selecting method which is efficient in both steady state capturing and preserving for hyperbolic system with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with discont...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 219; no. 1; pp. 322 - 390
Main Author:	Wen, Xin
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 20.11.2006 Elsevier
Subjects:	Computation Computational techniques Cross sections Discontinuous topography Exact sciences and technology Flexibility Hyperbolic systems Mathematical methods in physics Mathematical models Nozzle flow equations Physics Preserving Shallow water equations Shock capturing Steady state Surface gradient method Topography Well-balanced scheme Shallow water equations Surface gradient method 35L60 Discontinuous topography Shock capturing 65M06 76B15 Well-balanced scheme Nozzle flow equations 76M20 Gradient methods Hyperbolic system Calculation Steady state solution Shallow-water equations Calculation methods
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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