We present a new wavelet-based adaptive multiresolution representation (WAMR) algorithm for the numerical solution of multiscale evolution problems. Key features of the algorithm are fast procedures for grid rearrangement, computation of derivatives, as well as the ability to minimize the degrees of freedom for a prescribed solution accuracy. To demonstrate the efficiency and accuracy of the algorithm, we use it to solve the two-dimensional benchmark problem of incompressible fluid-flow in a lid-driven cavity at large Reynolds numbers. The numerical experiments demonstrate the great ability of the algorithm to adapt to different scales at different locations and at different times so as to produce accurate solutions at low computational cost. Specifically, we show that solutions of comparable accuracy as the benchmarks are obtained with more than an order of magnitude reduction in degrees of freedom.
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ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
July 14–18, 2002
Montreal, Quebec, Canada
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3615-0
PROCEEDINGS PAPER
Multiscale Calculations Using an Adaptive Wavelet Algorithm
Yevgenii A. Rastigejev,
Yevgenii A. Rastigejev
University of Notre Dame, Notre Dame, IN
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Samuel Paolucci
Samuel Paolucci
University of Notre Dame, Notre Dame, IN
Search for other works by this author on:
Yevgenii A. Rastigejev
University of Notre Dame, Notre Dame, IN
Samuel Paolucci
University of Notre Dame, Notre Dame, IN
Paper No:
FEDSM2002-31117, pp. 1577-1582; 6 pages
Published Online:
February 24, 2009
Citation
Rastigejev, YA, & Paolucci, S. "Multiscale Calculations Using an Adaptive Wavelet Algorithm." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 1: Fora, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 1577-1582. ASME. https://doi.org/10.1115/FEDSM2002-31117
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