WENO schemes for balance laws with spatially varying flux (Q1880727)

scientific article; zbMATH DE number 2104490

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English	WENO schemes for balance laws with spatially varying flux	scientific article; zbMATH DE number 2104490

Statements

instance of

scholarly article

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title

WENO schemes for balance laws with spatially varying flux (English)

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Journal of Computational Physics

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publication date

1 October 2004

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zbMATH Keywords

Hyperbolic balance laws

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Spatially varying flux

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Flux gradient and source term balancing

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Open channel flow equations

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Elastic wave equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jcp.2004.02.002

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cites work

A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions

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Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

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Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes

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Upwind methods for hyperbolic conservation laws with source terms

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Transport of pollutant in shallow water using kinetic schemes

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Efficient construction of high-resolution TVD conservative schemes for equations withs source terms: Application to shallow water flows

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Extension of ENO and WENO schemes to one-dimensional sediment transport equations.

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On numerical treatment of the source terms in the shallow water equations

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A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

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A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms

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A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS

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Uniformly High-Order Accurate Nonoscillatory Schemes. I

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Uniformly high order accurate essentially non-oscillatory schemes. III

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Flux difference splitting and the balancing of source terms and flux gradients

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Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects

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Efficient implementation of weighted ENO schemes

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A steady-state capturing method for hyperbolic systems with geometrical source terms

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Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm

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Weighted essentially non-oscillatory schemes

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A kinetic scheme for the Saint-Venant system with a source term

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Efficient implementation of essentially nonoscillatory shock-capturing schemes. II

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Q4247279

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Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry

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ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

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Upwind Schemes with Exact Conservation Property for One-Dimensional Open Channel Flow Equations

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The surface gradient method for the treatment of source terms in the shallow-water equations

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Identifiers

zbMATH Open document ID

1127.76344

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Mathematics Subject Classification ID

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10.1016/J.JCP.2004.02.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:1880727