An accurate and versatile lattice closure scheme for lattice Boltzmann equation fluids under external forces

HOLLIS, A. P., HALLIDAY, I. and CARE, C. M. (2008). An accurate and versatile lattice closure scheme for lattice Boltzmann equation fluids under external forces. Journal of computational physics, 227 (17), 8065-8082.

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Link to published version:: https://doi.org/10.1016/j.jcp.2008.05.007
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    Abstract

    We derive and demonstrate a practical, analytic, versatile and accurate algorithm designed to impose Dirichlet boundary conditions (specified boundary velocity) on the edge nodes of a lattice Boltzmann fluid simulation space, valid for situations in which the fluid at the boundary is subject to a force. The current algorithm models the lattice fluid on boundary and bulk nodes to the same accuracy and in a demonstrably equivalent manner. Whilst the new method presented here applies to rectangular geometries, it adds to our previous method [I. Halliday, L.A. Hammond, C.M. Care, A. Stevens, J. Phys. A: Math. Gen. 35 (2002) 157]: (i) the condition of mass-conservation, (ii) the ability to subject boundary fluid to a force and (iii) the ability to treat a range of complicated geometries with unimpaired accuracy. (C) 2008 Elsevier Inc. All rights reserved.

    Item Type: Article
    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/10.1016/j.jcp.2008.05.007
    Page Range: 8065-8082
    Depositing User: Ann Betterton
    Date Deposited: 04 Feb 2010 10:17
    Last Modified: 13 Jun 2017 12:45
    URI: http://shura.shu.ac.uk/id/eprint/1029

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