A Hybrid Meshless/Spectral-Element Method for the Shallow Water Equations on the Sphere

DOI10.1007/978-1-4020-6095-3_11zbMath1323.76072OpenAlexW108670298MaRDI QIDQ3447752

Christopher D. Blakely

Publication date: 28 October 2015

Published in: Advances in Meshfree Techniques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-6095-3_11

zbMATH Keywords

shallow-water equationsmeshless methodsspectral-element approximation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Spectral methods applied to problems in fluid mechanics (76M22) General theory of rotating fluids (76U05)

Uses Software

• chammp

Cites Work

• The spectral element method for the shallow water equations on the sphere
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Semi-implicit spectral element atmospheric model
• Analysis of a stabilized three-fields domain decomposition method
• Inf-sup conditions for the mortar spectral element discretization of the Stokes problem
• Adaptive edge detectors for piecewise smooth data based on the minmod limiter
• The finite element method with Lagrangian multipliers
• A NEW BACKUS–GILBERT MESHLESS APPROXIMATION METHOD FOR INITIAL-BOUNDARY VALUE PARTIAL DIFFERENTIAL EQUATIONS
• The three-field formulation for elasticity problems
• Radial Basis Functions
• Spectral/hp Element Methods for Computational Fluid Dynamics
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