Semi-implicit two-level predictor–corrector methods for non-linearly coupled, hydrostatic, barotropic/baroclinic flows

DOI10.1080/10618560802353389zbMath1184.76767OpenAlexW2026673454MaRDI QIDQ3551670

Francisco J. Rueda, Ben R. Hodges

Publication date: 15 April 2010

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560802353389

zbMATH Keywords

shallow water equationsnumerical viscositytheta methoddensity stratificationtime marching methods

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

Uses Software

• TRIM

Cites Work

• Unnamed Item
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• On simulation of turbulent nonlinear free-surface flows
• A free-surface correction method for simulating shallow water flows.
• Computational Methods for Fluid Dynamics
• Baroclinic stability for a family of two-level, semi-implicit numerical methods for the 3D shallow water equations
• Semi‐implicit finite difference methods for three‐dimensional shallow water flow
• A semi-implicit method for vertical transport in multidimensional models
• A semi-implicit finite difference method for non-hydrostatic, free-surface flows
• Consistency with continuity in conservative advection schemes for free-surface models
• The numerical simulation of the hydrodynamics of Barbamarco Lagoon, Italy

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