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First Thermal and Fluids Engineering Summer Conference

ISSN: 2379-1748
ISBN: 978-1-56700-430-4

Mass Balance in Velocity Dirichlet Boundary Conditions for Lattice Boltzmann Method

DOI: 10.1615/TFESC1.cmd.013235
pages 383-395

Zheng Li
College of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China; Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA

Mo Yang
College of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Ya-Ling He
Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China

Yuwen Zhang
Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA


KEY WORDS: Zou-He method, Finite difference velocity gradient method, Regularized method, Lattice Boltzmann method, Velocity Dirichlet condition

Abstract

Many different methods can be used to treat open boundary conditions in lattice Boltzmann method. Zou-He method, finite difference velocity gradient method, and regularized method are reviewed and compared for velocity Dirichlet condition for Poiseuille flow with different Reynolds numbers. Using same convergence criterion, all the numerical procedures are carried on till steady-states are reached. The obtained velocities and pressures are compared with analytical solutions and mass balances for different methods are also checked. The results indicates all the numerical results agree with analytical solutions well and Zou-He method results satisfy the mass balance better than the others.

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