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.Full text not available from this repository.
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.
|Research Institute, Centre or Group:||Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group|
|Depositing User:||Ann Betterton|
|Date Deposited:||04 Feb 2010 10:17|
|Last Modified:||11 May 2010 15:00|
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