A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection

Journal Article

A study of the computational efficiency of two numerical methods based on a mixed finite difference-Galerkin technique is undertaken. This study uses steady Rayleigh-Bénard convection in a periodic container as a model problem. The formulation and linearization of the reduced Galerkin and pseudo-spectral methods is discussed. A new technique for reducing the computational effort of evaluating the convolution sums is used. It is found that the reduced Galerkin method allows greater linearization of the equations of fluid motion. Additionally, the reduced Galerkin method is approximately three times faster than the pseudo-spectral method for the problem studied. Copyright © 1996 Elsevier Science Ltd.

Full Text

Duke Authors

Cited Authors

  • Howle, LE

Published Date

  • 1996

Published In

  • International Journal of Heat and Mass Transfer

Volume / Issue

  • 39 / 12

Start / End Page

  • 2401 - 2407

Digital Object Identifier (DOI)

  • 10.1016/0017-9310(95)00346-0