Performance of numerical methods on the non‐unique solution to the Riemann problem for the shallow water equations

DOI10.1002/fld.846zbMath1134.76402OpenAlexW1976050098MaRDI QIDQ4670114

Nikolai Andrianov

Publication date: 18 April 2005

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.846

zbMATH Keywords

shallow water equationsRiemann problemtest casesnon-strictly hyperbolic non-conservative system

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
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