On staggering techniques and the non-staggered Z-grid scheme

DOI10.1007/s00211-015-0715-8zbMath1341.35107OpenAlexW2038166360MaRDI QIDQ907046

Qingshan Chen

Publication date: 1 February 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-015-0715-8

zbMATH Keywords

shallow water equationsdiscrete vorticity-divergence fieldsstaggering/non-staggering Z-grid scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with geophysics (35Q86)

Related Items (1)

Stable and convergent approximation of two-dimensional vector fields on unstructured meshes

Uses Software

• chammp

Cites Work

• 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 co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids
• A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: A new numerical structure for ocean general circulation modeling
• Finite Element Methods for Navier-Stokes Equations
• Constrained Centroidal Voronoi Tessellations for Surfaces
• Centroidal Voronoi Tessellations: Applications and Algorithms

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