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Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions

Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions

Mohammed, Seemaa, Graham, David and Reis, Timothy ORCID: 0000-0003-2671-416X (2018) Assessing moment-based boundary conditions for the lattice Boltzmann equation: A study of dipole-wall collisions. Computers and Fluids, 176 (C). pp. 79-96. ISSN 0045-7930 (Print), 1879-0747 (Online) (doi:https://doi.org/10.1016/j.compfluid.2018.08.025)

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Abstract

The accuracy of moment-based boundary conditions for no slip walls in lattice Boltzmann simulations is examined numerically by using the dipole-wall collision benchmark test for both normal and oblique cases. In the normal case the dipole hits the wall perpendicularly while in the oblique case the dipole hits the wall at an angle of 30° to the horizontal. Boundary conditions are specified precisely at grid points by imposing constraints upon hydrodynamic moments only. These constraints are then translated into conditions for the unknown lattice Boltzmann distribution functions at boundaries. The two relaxation time (TRT) model is used with a judiciously chosen product of the two relaxation times. Stable results are achieved for higher Reynolds number up to 10000 for the normal collision and up to 7500 for the oblique case. An excellent agreement with a benchmark data is observed and the local boundary condition implementation is shown to be second order accurate.

Item Type: Article
Uncontrolled Keywords: Lattice Boltzmann equation; Moment-based boundary conditions; Two relaxation times; Dipole-wall collision
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 11 Dec 2018 17:08
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/21361

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