A high-order element-based Galerkin method for the barotropic vorticity equation

DOI10.1002/fld.1874zbMath1161.76031OpenAlexW2097552920MaRDI QIDQ3623207

Michael N. Levy, Ramachandran D. Nair, Henry M. Tufo

Publication date: 16 April 2009

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1874

zbMATH Keywords

spectral element methoddiscontinuous Galerkin methodPoisson problemexplicit Runge-Kutta scheme

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Meteorology and atmospheric physics (86A10)

Related Items (4)

Application of spectral filtering to discontinuous Galerkin methods on triangulations ⋮ Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method ⋮ New adaptive modal and DTV filtering routines for the DG method on triangular grids applied to the Euler equations ⋮ RBF-vortex methods for the barotropic vorticity equation on a sphere

Cites Work

• The spectral element method for the shallow water equations on the sphere
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• The origins of computer weather prediction and climate modeling
• Strong Stability-Preserving High-Order Time Discretization Methods
• THE PHYSICS OF TROPICAL CYCLONE MOTION
• An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
• High-Order Methods for Incompressible Fluid Flow

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