Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations

DOI10.1016/j.jcp.2011.01.014zbMath1316.76069OpenAlexW1984656938MaRDI QIDQ543691

Almut Gassmann

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.2011.01.014

zbMATH Keywords

shallow water equationsC-grid

Mathematics Subject Classification ID

Related Items (12)

Stable and convergent approximation of two-dimensional vector fields on unstructured meshes ⋮ Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative ⋮ Comparison of 2D triangular C-grid shallow water models ⋮ A quasi-Hamiltonian discretization of the thermal shallow water equations ⋮ Formulation of an unstructured grid model for global Ocean dynamics ⋮ Elementary dispersion analysis of some mimetic discretizations on triangular C-grids ⋮ A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids ⋮ On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes ⋮ Computation of free surface waves in coastal waters with SWASH on unstructured grids ⋮ A conservative discretization of the shallow-water equations on triangular grids ⋮ A finite element exterior calculus framework for the rotating shallow-water equations ⋮ Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid

Uses Software

• chammp

Cites Work

• Numerical wave propagation on the hexagonal C-grid
• A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
• Numerical representation of geostrophic modes on arbitrarily structured C-grids
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Conservation properties of unstructured staggered mesh schemes
• A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: A new numerical structure for ocean general circulation modeling
• Analysis of Numerically Induced Oscillations in 2D Finite‐Element Shallow‐Water Models Part I: Inertia‐Gravity Waves

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