Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Guzik, Stephen M.; Weisgraber, Todd H.; Colella, Phillip; Alder, Berni J.

doi:10.1016/j.jcp.2013.11.037

Title: Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

Journal Article · Tue Dec 10 00:00:00 EST 2013 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2013.11.037· OSTI ID:1226215

Guzik, Stephen M. ^[1]; Weisgraber, Todd H. ^[2]; Colella, Phillip ^[3]; Alder, Berni J. ^[2]

Colorado State Univ., Fort Collins, CO (United States). Dept. of Mechanical Engineering
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

A lattice-Boltzmann model to solve the equivalent of the Navier-Stokes equations on adap- tively refined grids is presented. A method for transferring information across interfaces between different grid resolutions was developed following established techniques for finite- volume representations. This new approach relies on a space-time interpolation and solving constrained least-squares problems to ensure conservation. The effectiveness of this method at maintaining the second order accuracy of lattice-Boltzmann is demonstrated through a series of benchmark simulations and detailed mesh refinement studies. These results exhibit smaller solution errors and improved convergence when compared with similar approaches relying only on spatial interpolation. Examples highlighting the mesh adaptivity of this method are also provided.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1226215

Report Number(s):: LLNL-JRNL-594615

Journal Information:: Journal of Computational Physics, Vol. 259, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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Grid refinement for aeroacoustics in the lattice Boltzmann method: A directional splitting approach Gendre, Félix; Ricot, Denis; Fritz, Guillaume Physical Review E, Vol. 96, Issue 2 https://doi.org/10.1103/physreve.96.023311	journal	August 2017
Recent trends and progress in the immersed boundary method Huang, Wei-Xi; Tian, Fang-Bao Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 233, Issue 23-24 https://doi.org/10.1177/0954406219842606	journal	April 2019

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Title: Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement

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