Computation of the Particle Basset Force with a Fractional-Derivative Approach
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Volume 134, Issue 10
Abstract
Recent empirical and numerical evidence shows that the Basset force plays an important role in the description of acceleration of relatively small sediment particles moving close to solid boundaries. This force can make the numerical solution of the equations of motion computationally time and memory consuming. This technical note presents a two-stage methodology to deal with the difficulties associated with computing the Basset force. The Basset term is first approximated based on a semiderivative (fractional mathematics), and then the integration time is redefined in terms of appropriate flow and particle time scales, thus, avoiding unnecessary computations. Important savings in computational time are reported.
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Acknowledgments
The writers are very grateful to three anonymous reviewers, the associate editor, and the editor for useful comments, which have helped in clarifying the paper. This paper was completed thanks to the startup funds provided by the University of California to Fabián A. Bombardelli.
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© 2008 ASCE.
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Received: Feb 21, 2007
Accepted: Jan 25, 2008
Published online: Oct 1, 2008
Published in print: Oct 2008
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