Euler's predictor-corrector technique for solving the depth-integrated shallow water equations

DOI10.1016/j.camwa.2010.09.050zbMath1219.76039OpenAlexW2020907471MaRDI QIDQ636702

Zhao-Chun Wu, Jian-Bing Liu, Jing-Mei Feng

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.050

zbMATH Keywords

shallow water equationnumerical simulationsEuler's predictor-corrector techniqueFAM

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08)

Cites Work

• Flooding and drying in discontinuous Galerkin finite element discretizations of shallow-water equations. I: One dimension
• Two-layer shallow-water flow in two dimensions, a numerical study
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• A positive finite-difference advection scheme
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• A lattice Boltzmann model for the shallow water equations

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