Phys. Rev. E 75, 036709 (2007) [7 pages]Simulating time harmonic flows with the lattice Boltzmann methodReceived 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
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