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Parallel in time approximation of the lattice Boltzmann method for laminar flows

Publication ,  Journal Article
Randles, A; Kaxiras, E
Published in: Journal of Computational Physics
August 1, 2014

Fluid dynamics simulations using grid-based methods, such as the lattice Boltzmann equation, can benefit from parallel-in-space computation. However, for a fixed-size simulation of this type, the efficiency of larger processor counts will saturate when the number of grid points per core becomes too small. To overcome this fundamental strong scaling limit in space-parallel approaches, we present a novel time-parallel version of the lattice Boltzmann method using the parareal algorithm. This method is based on a predictor-corrector scheme combined with mesh refinement to enable the simulation of larger number of time steps. We present results of up to a 32× increase in speed for a model system consisting of a cylinder with conditions for laminar flow. The parallel gain obtainable is predicted with strong accuracy, providing a quantitative understanding of the potential impact of this method. © 2014 Elsevier Inc.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

August 1, 2014

Volume

270

Start / End Page

577 / 586

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Randles, A., & Kaxiras, E. (2014). Parallel in time approximation of the lattice Boltzmann method for laminar flows. Journal of Computational Physics, 270, 577–586. https://doi.org/10.1016/j.jcp.2014.04.006
Randles, A., and E. Kaxiras. “Parallel in time approximation of the lattice Boltzmann method for laminar flows.” Journal of Computational Physics 270 (August 1, 2014): 577–86. https://doi.org/10.1016/j.jcp.2014.04.006.
Randles A, Kaxiras E. Parallel in time approximation of the lattice Boltzmann method for laminar flows. Journal of Computational Physics. 2014 Aug 1;270:577–86.
Randles, A., and E. Kaxiras. “Parallel in time approximation of the lattice Boltzmann method for laminar flows.” Journal of Computational Physics, vol. 270, Aug. 2014, pp. 577–86. Scopus, doi:10.1016/j.jcp.2014.04.006.
Randles A, Kaxiras E. Parallel in time approximation of the lattice Boltzmann method for laminar flows. Journal of Computational Physics. 2014 Aug 1;270:577–586.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

August 1, 2014

Volume

270

Start / End Page

577 / 586

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences