Title: Improved treatment of the open boundary in the method of Lattice Boltzmann equation: general description of the method

Authors: Dazhi Yu, Renwei Mei, Wei Shyy

Addresses: Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611-6250, USA. ' Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611-6250, USA. ' Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611-6250, USA

Abstract: The method of Lattice Boltzmann equation (LBE) is a kinetic-based approach for fluid flow computations. In LBE, the distribution functions on various boundaries are often derived approximately. In this paper, the pressure interaction between an inlet boundary and the interior of the flow field is analysed when the bounce-back condition is specified at the inlet. It is shown that this treatment reflects most of the pressure waves back into the flow field and results in a poor convergence towards the steady state or a noisy flow field. An improved open boundary condition is developed to reduce the inlet interaction. Test results show that the new treatment greatly reduces the interaction and improves the computational stability and the quality of the flow field.

Keywords: Lattice Boltzmann method; Lattice Boltzmann equation; open boundary condition; inlet boundary; bounce-back; fluid flow; pressure interaction; flow field; Lattice Boltzmann model.

DOI: 10.1504/PCFD.2005.005812

Progress in Computational Fluid Dynamics, An International Journal, 2005 Vol.5 No.1/2, pp.3 - 12

Published online: 08 Dec 2004 *

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