Balanced semi-implicit Roe scheme for open channel flow equations

DOI10.1007/S11565-008-0053-1zbMath1387.65084OpenAlexW2010710298MaRDI QIDQ1041319

Bojan Crnković, Nelida Črnjarić-Žic, Lado Kranjčević

Publication date: 2 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0053-1

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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• Upwind methods for hyperbolic conservation laws with source terms
• On numerical treatment of the source terms in the shallow water equations
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• Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Linearized form of implicit TVD schemes for the multidimensional Euler and Navier-Stokes equations
• Upwind Schemes with Exact Conservation Property for One-Dimensional Open Channel Flow Equations
• Finite Volume Methods for Hyperbolic Problems
• Implicit schemes with large time step for non-linear equations: application to river flow hydraulics
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Flux difference splitting and the balancing of source terms and flux gradients

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