Radial collocation methods for the onset of convection in rotating spheres
From MaRDI portal
Publication:729463
DOI10.1016/j.jcp.2015.12.040zbMath1351.76205OpenAlexW2214891710MaRDI QIDQ729463
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2117/83082
Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Computation at a coordinate singularity, Radius ratio dependency of the instability of fully compressible convection in rapidly rotating spherical shells, Critical torsional modes of convection in rotating fluid spheres at high Taylor numbers, Latitudinally deforming rotating sphere, Onset of fully compressible convection in a rapidly rotating spherical shell, Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres, Continuation and stability of rotating waves in the magnetized spherical Couette system: secondary transitions and multistability
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
- Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method
- An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere
- Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions
- Pole condition for singular problems: The pseudospectral approximation
- The automatic solution of partial differential equations using a global spectral method
- Some results about the pseudospectral approximation of one-dimensional fourth-order problems
- Spectral approximation for elliptic boundary value problems
- A direct spectral collocation Poisson solver in polar and cylindrical coordinates
- Spectral methods for incompressible viscous flow
- Multidomain, sparse, spectral-tau method for helically symmetric flow
- Spectral collocation schemes on the unit disc
- Numerical treatment of polar coordinate singularities
- Galerkin orthogonal polynomials
- Spectral radial basis functions for full sphere computations
- A comparison of high-order time integrators for thermal convection in rotating spherical shells
- A Fast and Well-Conditioned Spectral Method
- An experimental and theoretical investigation of the onset of convection in rotating spherical shells
- Spectral Methods for Time-Dependent Problems
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- On the onset of low-Prandtl-number convection in rotating spherical shells: non-slip boundary conditions
- LAPACK Users' Guide
- Spiralling columnar convection in rapidly rotating spherical fluid shells
- ARPACK Users' Guide
- Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation
- The onset of thermal convection in a rapidly rotating sphere
- High-Order Methods for Incompressible Fluid Flow
- A new asymptotic method for the analysis of convection in a rapidly rotating sphere
- Pseudospectral Solution of the Two-Dimensional Navier--Stokes Equations in a Disk
- The onset of thermal convection in rotating spherical shells
- A Pseudospectral Approach for Polar and Spherical Geometries
- A Practical Guide to Pseudospectral Methods
- An efficient spectral method for ordinary differential equations with rational function coefficients
- Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems
- Spectral Methods
- Spectral Methods
- On the thermal instability of a rotating-fluid sphere containing heat sources
- Thermal instabilities in rapidly rotating systems
