bu Sinnah, Zainab, Graham, David and Reis, Timothy ORCID: https://orcid.org/0000-0003-2671-416X (2025) Imposing Navier-slip boundary conditions on the lattice Boltzmann equation in three dimensions. International Journal of Computer Mathematics. ISSN 0020-7160 (Print), 1029-0265 (Online) (doi:10.1080/00207160.2025.2542488)

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Abstract

Moment-based boundary conditions for the lattice Boltzmann equation are extended to Navier-slip flow in three dimensions. The slip velocity is proportional to the velocity gradient at the wall and imposed locally within the moment system. To capture gradients at edges the first order contributions to the third velocity moments are retained. The proposed methodology is validated by computing solutions to pulsatile and duct flows and second order accuracy is confirmed.

Item Type:	Article
Uncontrolled Keywords:	lattice Boltzmann method, moment-based boundary conditions, Navier-slip
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified:	04 Sep 2025 13:21
URI:	https://gala.gre.ac.uk/id/eprint/50984

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