Publications [#281408] of Laurens E. Howle
Papers Published
- Howle, LE, Efficient implementation of a finite-difference/galerkin method for simulation of large aspect ratio convection,
Numerical Heat Transfer, Part B: Fundamentals, vol. 26 no. 1
(January, 1994),
pp. 105-114, Informa UK Limited [doi]
(last updated on 2023/06/01)Abstract:
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.Keywords:
Finite difference method;Tensors;Mathematical models;Boundary layers;Approximation theory;Function evaluation;Computational methods;