A Fourier-Hermite pseudospectral method for penetrative convection
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Publication:1286942
DOI10.1006/jcph.1998.5946zbMath0932.76066OpenAlexW2081715360WikidataQ57676399 ScholiaQ57676399MaRDI QIDQ1286942
Publication date: 8 March 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1998.5946
Boussinesq approximationAdams-Bashforth schemeCrank-Nicholson schemelow-to-moderate Rayleigh numbersPrandtl number of unityS-shaped temperature profilesemi-implicit scheme for time marching
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Related Items (3)
Three dimensional simulations of penetrative convection in a porous medium with internal heat sources ⋮ Penetrative convection via internal heating in anisotropic porous media ⋮ Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature
Cites Work
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- Penetrative convection in fluid layers with internal heat sources
- Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform
- Asymptotic coefficients of Hermite function series
- Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
- Spectral methods and mappings for evolution equations on the infinite line
- Computational aspects of pseudospectral Laguerre approximations
- Numerical solution of problems in unbounded regions: coordinate transforms
- The rate of convergence of Fourier coefficients for entire functions of infinite order with application to the Weideman-Cloot Sinh-mapping for pseudospectral computations on an infinite interval
- Spectral methods using rational basis functions on an infinite interval
- A model for the onset of penetrative convection
- Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions
- On penetrative convection at low Péclet number
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