Phys. Rev. E 78, 046703 (2008) - Lattice Boltzmann model for incompressible axisymmetric flows

Lattice Boltzmann model for incompressible axisymmetric flows

Sheng Chen, Jonas Tölke, Sebastian Geller, and Manfred Krafczyk

Phys. Rev. E 78, 046703 – Published 8 October 2008

Abstract

A lattice Boltzmann model for incompressible axisymmetric flow is proposed in this paper. Unlike previous axisymmetric lattice Boltzmann models, which were based on “primitive-variables” Navier-Stokes equations, the target macroscopic equations of the present model are vorticity-stream-function formulations. Due to the intrinsic features of vorticity-stream-function formulations, the present model is more efficient, more stable, and much simpler than the existing models. The advantages of the present model are validated by numerical experiments.

Received 15 May 2008

DOI:https://doi.org/10.1103/PhysRevE.78.046703

©2008 American Physical Society

Authors & Affiliations

Sheng Chen^*, Jonas Tölke^†, Sebastian Geller, and Manfred Krafczyk^‡

Institute for Computational Modeling in Civil Engineering, Technical University, Braunschweig 38106, Germany

^*chen@irmb.tu-bs.de
^†toelke@irmb.tu-bs.de
^‡kraft@irmb.tu-bs.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 78, Iss. 4 — October 2008

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Sign up to receive regular email alerts from Physical Review E