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

Publication ,  Journal Article
Howle, LE
Published in: International Journal of Heat and Mass Transfer
January 1, 1996

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.

Duke Scholars

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 1996

Volume

39

Issue

12

Start / End Page

2401 / 2407

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Howle, L. E. (1996). A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection. International Journal of Heat and Mass Transfer, 39(12), 2401–2407. https://doi.org/10.1016/0017-9310(95)00346-0
Howle, L. E. “A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection.” International Journal of Heat and Mass Transfer 39, no. 12 (January 1, 1996): 2401–7. https://doi.org/10.1016/0017-9310(95)00346-0.
Howle LE. A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection. International Journal of Heat and Mass Transfer. 1996 Jan 1;39(12):2401–7.
Howle, L. E. “A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection.” International Journal of Heat and Mass Transfer, vol. 39, no. 12, Jan. 1996, pp. 2401–07. Scopus, doi:10.1016/0017-9310(95)00346-0.
Howle LE. A comparison of the reduced Galerkin and pseudo-spectral methods for simulation of steady Rayleigh-Bénard convection. International Journal of Heat and Mass Transfer. 1996 Jan 1;39(12):2401–2407.
Journal cover image

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

January 1, 1996

Volume

39

Issue

12

Start / End Page

2401 / 2407

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences