Well-balanced discontinuous Galerkin scheme for \(2 \times 2\) hyperbolic balance law

DOI10.1016/j.jcp.2020.110011OpenAlexW3104814973WikidataQ115571367 ScholiaQ115571367MaRDI QIDQ2120035

Yogiraj Mantri, Sebastian Noelle

Publication date: 31 March 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110011

zbMATH Keywords

well-balanced schemehyperbolic balance lawsdiscontinuous Galerkin schemeflows on networks

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (5)

Moving water equilibria preserving discontinuous Galerkin method for the shallow water equations ⋮ Numerical approximation of living-man steady state solutions for blood flow in arteries using a well-balanced discontinuous Galerkin scheme ⋮ Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation ⋮ Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction ⋮ An arbitrary high order and positivity preserving method for the shallow water equations

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