CIP method of characteristics for the solution of tide wave equations

DOI10.1155/2018/3469534zbMath1440.76016OpenAlexW2809854486MaRDI QIDQ1629186

Xianqing Lv, Kai Fu, Yafei Nie

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3469534

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Cites Work

• Well-balanced hybrid compact-WENO scheme for shallow water equations
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Optimal assimilation of current and surface elevation data in a two-dimensional numerical tidal model
• Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• A CIP/multi‐moment finite volume method for shallow water equations with source terms
• The surface gradient method for the treatment of source terms in the shallow-water equations

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