A novel variable resolution global spectral method on the sphere

DOI10.1016/j.jcp.2011.12.023zbMath1242.65250OpenAlexW2004360078MaRDI QIDQ419647

J. Herrera, H. S. Yoon

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.12.023

zbMATH Keywords

fast Fourier transformspherical harmonicsGaussian quadratureHelmholtz equationsBoyd-Vandeven filterglobal spectral methodmeteorological computationsnon-divergent barotropic vorticity equationvariable resolution method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Spectral methods applied to problems in fluid mechanics (76M22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Meteorology and atmospheric physics (86A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• chammp

Cites Work

• A global semi-Lagrangian spectral model of the shallow water equations with variable resolution
• Family of spectral filters for discontinuous problems
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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