Conservative discretization of Coriolis force in a finite volume framework

DOI10.1016/j.jcp.2009.01.004zbMath1159.76025OpenAlexW1974309420MaRDI QIDQ1013184

A. Owinoh, Emmanuel Audusse, Rupert Klein

Publication date: 17 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.004

zbMATH Keywords

linear momentumshallow water flowsinterface mass fluxesrotational fluids

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

Related Items (9)

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction ⋮ An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces ⋮ Projection finite volume method for shallow water flows ⋮ Well-balanced schemes for the shallow water equations with Coriolis forces ⋮ 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame ⋮ Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on Cartesian meshes

Cites Work

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• Nonlinear adjustment of a front over escarpment

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