A consistent mass-conserving C-staggered method for shallow water equations on global reduced grids

DOI10.1016/j.jcp.2022.111741OpenAlexW4309671642MaRDI QIDQ2106956

Pedro S. Peixoto, Genilson S. Lima

Publication date: 29 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111741

zbMATH Keywords

consistencyfinite differencesshallow-water equationsfinite volumesconservationglobal reduced grids

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)

Uses Software

• chammp

Cites Work

• chammp
• 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
• Horizontal approximation schemes for the staggered reduced latitude-longitude grid
• Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative
• A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids
• Analysis of grid imprinting on geodesic spherical icosahedral grids
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Linear Filtering
• Constrained Centroidal Voronoi Tessellations for Surfaces
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