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DOI: 10.1615/HeatTransRes.2016014588
pages 811-826

MASS BALANCE IN LATTICE BOLTZMANN METHOD WITH DIRICHLET VELOCITY BOUNDARY CONDITION

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
university of shanghai for science and technology
Ya-Ling He
Key Laboratory of Thermo-fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
Yuwen Zhang
University of Missouri, Columbia, MO 65201, USA

ABSTRACT

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


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