A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres

DOI10.1090/S0025-5718-2010-02440-8zbMath1387.65109arXiv1009.3308OpenAlexW1977548994MaRDI QIDQ3015041

Ian H. Sloan, Quoc Thong Le Gia, Mahadevan Ganesh

Publication date: 8 July 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3308

zbMATH Keywords

Navier-Stokes equationsunit spherevector spherical harmonics

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

A Spectrally Accurate Algorithm and Analysis for a Ginzburg--Landau Model on Superconducting Surfaces ⋮ Schrödinger eigenbasis on a class of superconducting surfaces: ansatz, analysis, FEM approximations and computations ⋮ Random attractors for the stochastic Navier-Stokes equations on the 2D unit sphere ⋮ Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere ⋮ Spherical Potential Theory: Tools and Applications

Uses Software

• Matlab
• RODAS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation
• A Remark on Quasi-Stationary Approximate Inertial Manifolds for the Navier–Stokes Equations
• Navier-Stokes equations on the rotating sphere. A simple proof of the attractor dimension estimate
• A Nonlinear Galerkin Scheme Involving Vector and Tensor Spherical Harmonics for Solving the Incompressible Navier--Stokes Equation on the Sphere

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