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Phys. Rev. E 75, 036709 (2007) [7 pages]

Simulating time harmonic flows with the lattice Boltzmann method

Abstract
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Lilit Axner*, Alfons G. Hoekstra, and Peter M. A. Sloot
Section Computational Science, Laboratory for Computing, System Architecture and Programming, Faculty of Science, University of Amsterdam, Kruislaan 403, Amsterdam 1098 SJ, The Netherlands

Received 18 August 2006; published 27 March 2007

We simulate time harmonic flows by the lattice Boltzmann method. We propose a general scheme to choose simulation parameters, under the constraints of fixed Reynolds and Womersley numbers, and with a specified simulation error. Under these constraints parameters are chosen to minimize the execution time. Numerical stability is studied in a range of Reynolds and Womersley numbers. As an example of time harmonic flow simulations, results of blood flow in a human abdominal aorta are presented.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.75.036709
DOI:
10.1103/PhysRevE.75.036709
PACS:
47.11.−j, 02.70.−c, 47.15.−x, 47.63.−b

*Electronic address: labraham@science.uva.nl

Electronic address: alfons@science.uva.nl

Electronic address: sloot@science.uva.nl