Efficient implementation of a finite-difference/galerkin method for simulation of large aspect ratio convection

Journal Article (Journal Article)

The efficiency of a mixed finite-difference / Galerkin method is examined for simulation of steady two-dimensional Rayleigh-Bénard convection of large aspect ratio. It is found that computation time is reduced by an order of magnitude for large-aspect-ratio systems if the summations resulting from the formation of inner products are expanded prior to code compilation. The expansion of the summations is carried out by a source code utility, which writes the expanded and simplified source. This eliminates the need to store and multiply sparse tensors. The method extends to large-aspect-ratio problems that would previously be computationally impractical using the finite-difference/Galerkin technique. © 1994 Taylor & Francis Group, LLC.

Full Text

Duke Authors

Cited Authors

  • Howle, LE

Published Date

  • January 1, 1994

Published In

Volume / Issue

  • 26 / 1

Start / End Page

  • 105 - 114

Electronic International Standard Serial Number (EISSN)

  • 1521-0626

International Standard Serial Number (ISSN)

  • 1040-7790

Digital Object Identifier (DOI)

  • 10.1080/10407799408914920

Citation Source

  • Scopus