A Well-balanced and Non-negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

DOI10.4208/cicp.2009.09.156zbMath1364.76118OpenAlexW2046927914MaRDI QIDQ5268710

Qiuhua Liang

Publication date: 20 June 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.2009.09.156

zbMATH Keywords

shallow water equationssource termssolute transportRiemann solveradvection-diffusion equationwell-balanced schemewetting and drying

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

A structure-preserving algorithm for surface water flows with transport processes ⋮ An efficient HLL-based scheme for capturing contact-discontinuity in scalar transport by shallow water flow ⋮ Improved Riemann solvers for complex transport in two-dimensional unsteady shallow flow ⋮ A well-balanced positivity-preserving numerical scheme for shallow water models with variable density

Uses Software

• HLLE

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