Consistent Lattice Boltzmann Method

作者: Santosh Ansumali , Iliya V. Karlin

DOI: 10.1103/PHYSREVLETT.95.260605

关键词: Boltzmann relationStatistical physicsBoltzmann distributionDirect simulation Monte CarloBhatnagar–Gross–Krook operatorPhysicsLattice gas automatonLattice Boltzmann methodsHPP modelBoltzmann equation

摘要: … the new lattice Boltzmann model is the valid approximation of the Boltzmann equation for … to be sacrificed together with the second law of thermodynamics (Boltzmann’s H theorem), our …

参考文章(15)
Iliya V. Karlin, Alexander N. Gorban, Invariant Manifolds for Physical and Chemical Kinetics ,(2005)
C. Cercignani, Raphael Aronson, Theory and application of the Boltzmann equation ,(1975)
E.S. Oran, C.K. Oh, B.Z. Cybyk, Direct Simulation Monte Carlo: Recent Advances and Applications Annual Review of Fluid Mechanics. ,vol. 30, pp. 403- 441 ,(1998) , 10.1146/ANNUREV.FLUID.30.1.403
Xiaoyi He, Li-Shi Luo, A priori derivation of the lattice Boltzmann equation Physical Review E. ,vol. 55, pp. R6333- R6336 ,(1997) , 10.1103/PHYSREVE.55.R6333
Xiaowen Shan, Xiaoyi He, Discretization of the Velocity Space in the Solution of the Boltzmann Equation Physical Review Letters. ,vol. 80, pp. 65- 68 ,(1998) , 10.1103/PHYSREVLETT.80.65
S Ansumali, I. V Karlin, H. C Öttinger, Minimal entropic kinetic models for simulating hydrodynamics arXiv: Condensed Matter. ,(2002) , 10.1209/EPL/I2003-00496-6
Santosh Ansumali, Iliya V. Karlin, Kinetic boundary conditions in the lattice Boltzmann method. Physical Review E. ,vol. 66, pp. 026311- 026311 ,(2002) , 10.1103/PHYSREVE.66.026311
X. D Niu, C Shu, Y. T Chew, A lattice Boltzmann BGK model for simulation of micro flows EPL. ,vol. 67, pp. 600- 606 ,(2004) , 10.1209/EPL/I2003-10307-8
F Toschi, S Succi, Lattice Boltzmann method at finite Knudsen numbers EPL. ,vol. 69, pp. 549- 555 ,(2005) , 10.1209/EPL/I2004-10393-0