An efficient implementation of a high-order filter for a cubed-sphere spectral element model

DOI10.1016/j.jcp.2016.12.001zbMath1380.65303OpenAlexW2558548249MaRDI QIDQ680085

Hyun-Gyu Kang, Hyeong-Bin Cheong

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.12.001

zbMATH Keywords

spectral element methodshallow water equationHelmholtz equationcubed-sphere gridhigh-order filter

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs in connection with geophysics (35Q86)

Related Items

A discrete Funk transform on the cubed sphere ⋮ Symmetry group of the equiangular cubed sphere

Uses Software

• chammp

Cites Work

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• High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere 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
• Further study on the high-order double-Fourier-series spectral filtering on a sphere.
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• Double Fourier series on a sphere: Applications to elliptic and vorticity equations