A note on the Riemann problem for shallow water equations with discontinuous topography

DOI10.1016/J.AML.2021.107042zbMath1462.76126OpenAlexW3124425950WikidataQ114210591 ScholiaQ114210591MaRDI QIDQ2021493

Wan-cheng Sheng, Qing-Long Zhang

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107042

zbMATH Keywords

Riemann problemenergy functionstationary wavebackward shock waveglobal entropy conditionGodunov-Rusanov scheme

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Cites Work

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• A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Interaction of the elementary waves of isentropic flow in a variable cross-section duct
• The Riemann problem for the shallow water equations with discontinuous topography
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
• Criteria for nonuniqueness of Riemann solutions to compressible duct flows
• Exact Riemann solutions to shallow water equations
• The generalized Riemann problem method for the shallow water equations with bottom topography
• The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
• On the Solution to The Riemann Problem for the Compressible Duct Flow
• The Riemann Problem for a Blood Flow Model in Arteries
• Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations
• Exact solutions to the Riemann problem of the shallow water equations with a bottom step

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