A free-surface correction method for simulating shallow water flows.

DOI10.1016/S0021-9991(03)00234-1zbMath1061.76041OpenAlexW2073242785MaRDI QIDQ1405165

Xinjian Chen

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00234-1

zbMATH Keywords

Finite difference methodMass conservationBi-CGSTABFive-diagonal matrix

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (6)

A Cartesian method for fitting the bathymetry and tracking the dynamic position of the shoreline in a three-dimensional, hydrodynamic model ⋮ Numerical simulation of wind-driven circulation in a thermally stratified flow ⋮ A numerical method for the solution of the nonlinear turbulent one-dimensional free surface flow equations ⋮ Semi-implicit two-level predictor–corrector methods for non-linearly coupled, hydrostatic, barotropic/baroclinic flows ⋮ A three-dimensional hydrodynamic model for shallow waters using unstructured Cartesian grids ⋮ A comparison of hydrostatic and nonhydrostatic pressure components in seiche oscillations

Cites Work

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• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• A coastal ocean intercomparison study for a three-dimensional idealised test case
• Stability, accuracy and efficiency of a semi-implicit method for three- dimensional shallow water flow
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Semi‐implicit finite difference methods for three‐dimensional shallow water flow
• A semi-implicit finite difference method for non-hydrostatic, free-surface flows
• A fully hydrodynamic model for three-dimensional, free-surface flows

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