Higher-order boundary element methods (BEM) are presented for three-dimensional steady convective heat diffusion at high Peclet numbers. An accurate and efficient boundary element formulation is facilitated by the definition of an influence domain due to convective kernels. This approach essentially localizes the surface integrations only within the domain of influence which becomes more narrowly focused as the Peclet number increases. The outcome of this phenomenon is an increased sparsity and improved conditioning of the global matrix. Therefore, iterative solvers for sparse matrices become a very efficient and robust tool for the corresponding boundary element matrices. In this paper, we consider an example problem with an exact solution and investigate the accuracy and efficiency of the higher-order BEM formulations for high Peclet numbers in the range from 1,000 to 100,000. The bi-quartic boundary elements included in this study are shown to provide very efficient and extremely accurate solutions, even on a single engineering workstation.
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ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
July 11–15, 2004
Charlotte, North Carolina, USA
Conference Sponsors:
- Heat Transfer Division and Fluids Engineering Division
ISBN:
0-7918-4691-1
PROCEEDINGS PAPER
A Boundary Element Method for Three-Dimensional Steady Convective Heat Diffusion Available to Purchase
M. M. Grigoriev,
M. M. Grigoriev
State University of New York at Buffalo, Amherst, NY
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G. F. Dargush
G. F. Dargush
State University of New York at Buffalo, Amherst, NY
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M. M. Grigoriev
State University of New York at Buffalo, Amherst, NY
G. F. Dargush
State University of New York at Buffalo, Amherst, NY
Paper No:
HT-FED2004-56331, pp. 681-690; 10 pages
Published Online:
February 24, 2009
Citation
Grigoriev, MM, & Dargush, GF. "A Boundary Element Method for Three-Dimensional Steady Convective Heat Diffusion." Proceedings of the ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. Volume 2, Parts A and B. Charlotte, North Carolina, USA. July 11–15, 2004. pp. 681-690. ASME. https://doi.org/10.1115/HT-FED2004-56331
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