Extension of a well-balanced central upwind scheme for variable density shallow water flow equations on triangular grids

DOI10.1016/J.COMPFLUID.2017.08.005zbMath1390.76584OpenAlexW2744544485MaRDI QIDQ1648477

Ioan Nistor, Sepideh Khorshid, Abdolmajid M. Mohammadian

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.08.005

zbMATH Keywords

shallow water equationsvariable densitytwo-dimensional depth-averaged modelwell-balanced central upwind scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ A well-balanced positivity-preserving numerical scheme for shallow water models with variable density

Cites Work

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• Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
• Upwind methods for hyperbolic conservation laws with source terms
• An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
• Total-Variation-Diminishing Time Discretizations
• Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws

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