Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations

We propose two simple well-balanced methods for hyperbolic systems with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with topography and the quasi-one-dimensional isothermal nozzle flows. These two methods use the numerical...

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Vydané v:	SIAM journal on scientific computing Ročník 26; číslo 6; s. 2079 - 2101
Hlavní autori:	Jin, Shi, Wen, Xin
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2005
Predmet:	Accuracy Applied mathematics Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Topography Values Viscosity Source terms well-balanced schemes 35L65 Transonic flow High resolution Hyperbolic system Isothermal flow Supercritical flow 65M06 76B15 bottom topography Unsteady state Numerical method Shallow water Steady state Numerical analysis Scientific computation Topography shallow water equations Well balanced scheme Newton method Computing method Shallow-water equations
ISSN:	1064-8275, 1095-7197
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