Elementary dispersion analysis of some mimetic discretizations on triangular C-grids

DOI10.1016/j.jcp.2016.10.059zbMath1380.65220OpenAlexW2547059339MaRDI QIDQ1691736

Peng Zhang

Publication date: 25 January 2018

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

Full work available at URL: https://epic.awi.de/id/eprint/42760/1/c-grid_jcp_v5-1.pdf

zbMATH Keywords

wave propagationtriangular griddispersion analysisC-gridspurious modesmimetic discretization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with geophysics (35Q86) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

Formulation of an unstructured grid model for global Ocean dynamics ⋮ On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes ⋮ Generalised primal-dual grids for unstructured co-volume schemes ⋮ A conservative discretization of the shallow-water equations on triangular grids

Uses Software

• ICON

Cites Work

• Unnamed Item
• Unnamed Item
• Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations
• A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
• Formulation of an unstructured grid model for global Ocean dynamics
• 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
• Kernel Analysis of the Discretized Finite Difference and Finite Element Shallow-Water Models
• Analysis of Numerically Induced Oscillations in 2D Finite‐Element Shallow‐Water Models Part I: Inertia‐Gravity Waves

This page was built for publication: Elementary dispersion analysis of some mimetic discretizations on triangular C-grids