Mass-conserved volumetric lattice Boltzmann method for complex flows with willfully moving boundaries

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Huidan Yu ◽  
Xi Chen ◽  
Zhiqiang Wang ◽  
Debanjan Deep ◽  
Everton Lima ◽  
...  
Author(s):  
R. Kamali ◽  
A. H. Tabatabaee Frad

It is known that the Lattice Boltzmann Method is not very effective when it is being used for the high speed compressible viscous flows; especially complex fluid flows around bodies. Different reasons have been reported for this unsuccessfulness; Lacking in required isotropy in the employed lattices and the restriction of having low Mach number in Taylor expansion of the Maxwell Boltzmann distribution as the equilibrium distribution function, might be mentioned as the most important ones. In present study, a new numerical method based on Li et al. scheme is introduced which enables the Lattice BoltzmannMethod to stably simulate the complex flows around a 2D circular cylinder. Furthermore, more stable implementation of boundary conditions in Lattice Boltzmann method is discussed.


2010 ◽  
Vol 24 (13) ◽  
pp. 1275-1278 ◽  
Author(s):  
CHANG SHU ◽  
JIE WU

An efficient lattice Boltzmann method (LBM) on non-uniform Cartesian mesh is presented in this work. In the standard LBM, the uniform mesh is used. To well capture the boundary layer and in the meantime, to save computational effort, many efforts have been made to improve the LBM so that it can be implemented on the non-uniform mesh. On the other hand, LBM has been combined with other numerical schemes to simulate complex flows recently. To solve immersed boundary (IB) problem efficiently, a new version of LBM on non-uniform Cartesian mesh is proposed in this study. A second-order local interpolation is used to calculate the distribution function at a position different from mesh points. The numerical results from the simulation of flow over a circular cylinder compare well with the data in literature.


2010 ◽  
Vol 42 (1) ◽  
pp. 439-472 ◽  
Author(s):  
Cyrus K. Aidun ◽  
Jonathan R. Clausen

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