Mass Balance in Velocity Dirichlet Boundary Conditions for Lattice Boltzmann Method

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

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

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

Аннотация

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.