Lattice-Boltzmann simulation of incompressible fluid flow past immersed bodies: models and boundary conditions

Abstract

Purpose

The main purpose of this paper was to investigate Lattice Boltzmann (LB) models for the bulk incompressible flow past immersed bodies and to find the set of boundary conditions (BCs) that can be considered suitable for modeling the borders of the numerical simulation domain in such a way as to avoid any effect of these BC on the flow trail that is formed behind the body.

Design/methodology/approach

Three different models of the Lattice Boltzmann equation (LBE) and six different sets of BCs are tested. In addition to the classical LBE based on the Bhatnagar–Gross–Krook (BGK) single relaxation time collision model, a moments-based model and a model with two relaxation times were investigated.

Findings

The flow pattern and its macroscopic effects on the aerodynamic coefficients appear to be very dependent on the set of BC models used for the borders of the numerical domain. The imposition of pressure at the exit results in pressure perturbations, giving rise to sound waves that propagate back into the simulation domain, producing perturbations on the upwind flow. In the same way, the free-slip BC for the lateral bords appears to affect the trail of vortices behind the body in this range of Reynolds number (Re = 1,000).

Originality/value

The paper investigates incompressible flow past immersed bodies and presents the set of BCs that can be considered suitable for modeling the borders of the numerical simulation domain in such a way as to avoid any effect of these BCs on the flow trail that is formed behind the body.

Citation

Krenchiglova, J.L., dos Santos, L.O.E., Siebert, D.N. and Philippi, P.C. (2023), "Lattice-Boltzmann simulation of incompressible fluid flow past immersed bodies: models and boundary conditions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 2, pp. 591-616. https://doi.org/10.1108/HFF-03-2022-0193