A mass, energy, vorticity, and potential enstrophy conserving lateral boundary scheme for the shallow water equations using piecewise linear boundary approximations

DOI10.1016/j.jcp.2010.11.008zbMath1316.76073OpenAlexW2071417775MaRDI QIDQ543699

M. Z. Jacobson, G. S. Ketefian

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.008

zbMATH Keywords

energyshallow water equationsaccuracyconservationpotential enstrophyshaved cell

Mathematics Subject Classification ID

Related Items (1)

An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force

Cites Work

• A mass, energy, vorticity, and potential enstrophy conserving lateral fluid-land boundary scheme for the shallow water equations
• Generalizations of Arakawa's Jacobian
• A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid.
• Conservation properties of unstructured staggered mesh schemes
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation

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