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Abstract
Recently, kinetic theorybased lattice Boltzmann (LB) models have been developed to model nonequilibrium gas flows. Depending on the order of quadratures, a hierarchy of LB models can be constructed which we have
previously shown to capture rarefaction effects in the standingshearwave problems. Here, we further examine the capability of highorder LB models in modeling nonequilibrium flows considering gas and surface interactions and their effect on the bulk flow. The Maxwellian gas and surface interaction model, which has been commonly used in other kinetic methods including the direct simulation Monte Carlo method, is used in the LB simulations. In general, the LB models with highorder GaussHermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the GaussHermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the evenorder Hermite polynomials perform significantly better than those from the oddorder polynomials. This may be attributed to the zerovelocity component in the oddorder discrete set, which does not participate in wall
and gas collisions, and thus underestimates the wall effect.
previously shown to capture rarefaction effects in the standingshearwave problems. Here, we further examine the capability of highorder LB models in modeling nonequilibrium flows considering gas and surface interactions and their effect on the bulk flow. The Maxwellian gas and surface interaction model, which has been commonly used in other kinetic methods including the direct simulation Monte Carlo method, is used in the LB simulations. In general, the LB models with highorder GaussHermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the GaussHermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the evenorder Hermite polynomials perform significantly better than those from the oddorder polynomials. This may be attributed to the zerovelocity component in the oddorder discrete set, which does not participate in wall
and gas collisions, and thus underestimates the wall effect.
Original language  English 

Pages (fromto)  Article 036704 
Number of pages  10 
Journal  Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 
Volume  83 
Issue number  3 
DOIs  
Publication status  Published  11 Mar 2011 
Keywords
 highorder lattice Boltzmann models
 nonequilibrium gas flows
 GaussHermite quadratures
 evenorder Hermite polynomials
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Projects
 1 Finished

Novel multirelaxation time order models for Lattice Bolztman Simulation of Gas Flows
Zhang, Y.
EPSRC (Engineering and Physical Sciences Research Council)
1/03/08 → 28/02/11
Project: Research