Approximation of shallow water equations by Roe's Riemann solver
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Publication:4850902
DOI10.1002/fld.1650200205zbMath0831.76063OpenAlexW2034285077MaRDI QIDQ4850902
Publication date: 12 February 1996
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.1650200205
loss of hyperbolicityhigh resolution schemesbottom variationgeometric source termsTVD version of the Lax-Wendroff scheme
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Related Items (14)
An adaptive finite point method for the shallow water equations ⋮ Improved application of the HLLE Riemann solver for the shallow water equations with source terms ⋮ Unnamed Item ⋮ Least-squares finite element method for shallow-water equations with source terms ⋮ Modified predictor-corrector WAF method for the shallow water equations with source terms ⋮ Application of graphics processing units for self-consistent modelling of shallow water dynamics and sediment transport ⋮ Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver. ⋮ Analysis of the properties of adjoint equations and accuracy verification of adjoint model based on FVM ⋮ An unstructured finite-volume algorithm for predicting flow in rivers and estuaries ⋮ Positivity preserving finite volume Roe schemes for transport-diffusion equations ⋮ A study of splitting scheme for hyperbolic conservation laws with source terms ⋮ A new composite scheme for two-layer shallow water flows with shocks ⋮ A primitive-variable Riemann method for solution of the shallow water equations with wetting and drying ⋮ The role of the Rankine-Hugoniot relations in staggered finite difference schemes for the shallow water equations
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