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Lattice Boltzmann Method for 3-D Flows with Curved BoundaryIn this work, we investigate two issues that are important to computational efficiency and reliability in fluid dynamics applications of the lattice, Boltzmann equation (LBE): (1) Computational stability and accuracy of different lattice Boltzmann models and (2) the treatment of the boundary conditions on curved solid boundaries and their 3-D implementations. Three athermal 3-D LBE models (D3QI5, D3Ql9, and D3Q27) are studied and compared in terms of efficiency, accuracy, and robustness. The boundary treatment recently developed by Filippova and Hanel and Met et al. in 2-D is extended to and implemented for 3-D. The convergence, stability, and computational efficiency of the 3-D LBE models with the boundary treatment for curved boundaries were tested in simulations of four 3-D flows: (1) Fully developed flows in a square duct, (2) flow in a 3-D lid-driven cavity, (3) fully developed flows in a circular pipe, and (4) a uniform flow over a sphere. We found that while the fifteen-velocity 3-D (D3Ql5) model is more prone to numerical instability and the D3Q27 is more computationally intensive, the 63Q19 model provides a balance between computational reliability and efficiency. Through numerical simulations, we demonstrated that the boundary treatment for 3-D arbitrary curved geometry has second-order accuracy and possesses satisfactory stability characteristics.
Document ID
20020063595
Acquisition Source
Langley Research Center
Document Type
Contractor Report (CR)
Authors
Mei, Renwei (Florida Univ. Gainesville, FL United States)
Shyy, Wei (Florida Univ. Gainesville, FL United States)
Yu, Dazhi (Florida Univ. Gainesville, FL United States)
Luo, Li-Shi (Institute for Computer Applications in Science and Engineering Hampton, VA United States)
Date Acquired
September 7, 2013
Publication Date
June 1, 2002
Subject Category
Fluid Mechanics And Thermodynamics
Report/Patent Number
NASA/CR-2002-211657
ICASE-2002-17
NAS 1.26:211657
Funding Number(s)
CONTRACT_GRANT: NAS1-97046
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NSF-EEC-94-02989
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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