Please use this identifier to cite or link to this item: https://doi.org/10.4208/aamm.10-m11146
Title: Development and comparative studies of three non-free parameter lattice boltzmann models for simulation of compressible flows
Authors: Yang, L.M.
Shu, C. 
Wu, J.
Keywords: Compressible inviscid flows
FV-LBM
Non-free parameter models
Issue Date: 2012
Source: Yang, L.M., Shu, C., Wu, J. (2012). Development and comparative studies of three non-free parameter lattice boltzmann models for simulation of compressible flows. Advances in Applied Mathematics and Mechanics 4 (4) : 454-472. ScholarBank@NUS Repository. https://doi.org/10.4208/aamm.10-m11146
Abstract: This paper at first shows the details of finite volume-based lattice Boltzmann method (FV-LBM) for simulation of compressible flows with shock waves. In the FV-LBM, the normal convective flux at the interface of a cell is evaluated by using one-dimensional compressible lattice Boltzmann model, while the tangential flux is calculated using the same way as used in the conventional Euler solvers. The paper then presents a platform to construct one-dimensional compressible lattice Boltzmann model for its use in FV-LBM. The platform is formed from the conservation forms of moments. Under the platform, both the equilibrium distribution functions and lattice velocities can be determined, and therefore, non-free parameter model can be developed. The paper particularly presents three typical non-free parameter models, D1Q3, D1Q4 and D1Q5. The performances of these three models for simulation of compressible flows are investigated by a brief analysis and their application to solve some one-dimensional and two-dimensional test problems. Numerical results showed that D1Q3 model costs the least computation time and D1Q4 and D1Q5 models have the wider application range of Mach number. From the results, it seems that D1Q4 model could be the best choice for the FVLBM simulation of hypersonic flows. © 2012 Global Science Press.
Source Title: Advances in Applied Mathematics and Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/59895
ISSN: 20700733
DOI: 10.4208/aamm.10-m11146
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