THE JEFFERY-HAMEL PROBLEM: A NUMERICAL LATTICE-BOLTZMANN STUDY
- 20 January 2003
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 17 (1), 139-143
- https://doi.org/10.1142/s0217979203017229
Abstract
In this paper, we present a numerical study of the Jeffery-Hammel problem using the lattice-Boltzmann method. We study three situations: pure inflow, pure outflow, and outflow with backflow. We demonstrate that the lattice-Boltzmann method gives not only qualitatively but also quantitatively accurate solutions for this problem. From the point of view of stability of the flow, the recent results of bifurcation theory are also briefly considered from the viewpoint of our numerical results.Keywords
This publication has 9 references indexed in Scilit:
- Flow through a diverging channel: instability and bifurcationFluid Dynamics Research, 1999
- On the spatio-temporal development of small perturbations of Jeffery-Hamel flowsFluid Dynamics Research, 1998
- AN EVALUATION OF THE BOUNCE-BACK BOUNDARY CONDITION FOR LATTICE BOLTZMANN SIMULATIONSInternational Journal for Numerical Methods in Fluids, 1997
- Flow along a diverging channelJournal of Fluid Mechanics, 1997
- Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK modelJournal of Statistical Physics, 1997
- On boundary conditions in lattice Boltzmann methodsPhysics of Fluids, 1996
- Initial and boundary conditions for the lattice Boltzmann methodPhysical Review E, 1993
- Lattice BGK Models for the Navier-Stokes Equation: Nonlinear Deviation in Compressible RegimesEurophysics Letters, 1993
- Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane wallsProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1962