Lattice Boltzmann equation hydrodynamics

HALLIDAY, I., HAMMOND, L. A., CARE, C. M., GOOD, K. and STEVENS, A. (2001). Lattice Boltzmann equation hydrodynamics. Physical review E, 64 (1), 011208.

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Link to published version:: https://doi.org/10.1103/PhysRevE.64.011208
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    Abstract

    By inserting position and time dependent “source” or “forcing” terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may be usefully transformed. Our method of adjustment is demonstrated by implementing the cylindrical polar coordinate form of the continuity and momentum equations on a rectangular lattice and generating results for pipe flow. With straightforward systematic adjustment of the simulation, our approach produces results in excellent agreement with theory.

    Item Type: Article
    Additional Information: © The American Physical Society
    Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
    Identification Number: https://doi.org/10.1103/PhysRevE.64.011208
    Page Range: 011208
    Depositing User: Ann Betterton
    Date Deposited: 28 Jul 2008
    Last Modified: 13 Jun 2017 12:45
    URI: http://shura.shu.ac.uk/id/eprint/866

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