On WAF-type schemes for multidimensional hyperbolic conservation laws

Journal Article · Wed Jan 01 00:00:00 EST 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1996.5470· OSTI ID:518373

Billett, S J; Toro, E F ^[1]

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1. Manchester Metropolitan Univ. (United Kingdom)

We explore how the weighted average flux approach can be used to generate first- and second-order accurate finite volume schemes for the linear advection equations in one, two, and three space dimensions. The derived schemes have multidimensional upwinding aspects and good stability properties. From the two-dimensional methods, we construct a scheme for nonlinear systems of hyperbolic conservation laws that is second-order accurate in smooth flow. Spurious oscillations are controlled by making use of one-dimensional TVD limiter functions. Numerical results are presented for the shallow water equations in two space dimensions. The equivalent schemes are derived for nonlinear systems in three space dimensions. 46 refs., 19 figs.

• OSTI ID: 518373
• Journal Information: Journal of Computational Physics, Vol. 130, Issue 1; Other Information: PBD: 1 Jan 1997
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
FLOW MODELS
ITERATIVE METHODS
CONSERVATION LAWS
ADVECTION
FLUID MECHANICS