A new algorithm is developed to evaluate the time convolution integrals that are associated with boundary element methods (BEM) for transient diffusion. This approach, which is based upon the multi-level multi-integration concepts of Brandt and Lubrecht, provides a fast, accurate and memory efficient time domain method for this entire class of problems. Conventional BEM approaches result in operation counts of order O(N2) for the discrete time convolution over N time steps. Here we focus on the formulation for linear problems of transient heat diffusion and demonstrate reduced computational complexity to order O(N3/2) for a couple of two-dimensional model problems using the multi-level convolution BEM. Memory requirements are also significantly reduced, while maintaining the same level of accuracy as the conventional time domain BEM approach.
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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 Fast Time Convolution Algorithm for Unsteady Heat Diffusion Problems Available to Purchase
C. H. Wang,
C. H. Wang
State University of New York at Buffalo, Amherst, NY
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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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C. H. Wang
State University of New York at Buffalo, Amherst, NY
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-FED2004-56322, pp. 641-651; 11 pages
Published Online:
February 24, 2009
Citation
Wang, CH, Grigoriev, MM, & Dargush, GF. "A Fast Time Convolution Algorithm for Unsteady Heat Diffusion Problems." 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. 641-651. ASME. https://doi.org/10.1115/HT-FED2004-56322
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