Title
Prandtl number effects in MRT lattice Boltzmann models for shocked and unshocked compressible fluids
Abstract
This paper constructs a new multiple relaxation time lattice Boltzmann model which is not only for the shocked compressible fluids, but also for the unshocked compressible fluids. To make the model work for unshocked compressible fluids, a key step is to modify the collision operators of energy flux so that the viscous coefficient in momentum equation is consistent with that in energy equation even in the unshocked system. The unnecessity of the modification for systems under strong shock is analyzed. The model is validated by some well-known benchmark tests, including thermal Couette flow, Riemann problem. The first system is unshocked and the latter is shocked. In both systems, the Prandtl number effects are checked. Satisfying agreements are obtained between new model results and analytical ones.
Year
DOI
Venue
2011
10.1063/2.1105204
Theoretical and Applied Mechanics Letters
Keywords
Field
DocType
lattice Boltzmann method,compressible flows,multiple-relaxation-time,Prandtl number
Prandtl number,Lattice Boltzmann methods,Viscosity,Momentum,Shock wave,Compressible flow,Couette flow,Classical mechanics,Riemann problem,Physics
Journal
Volume
Issue
ISSN
1
5
2095-0349
Citations 
PageRank 
References 
1
0.44
1
Authors
4
Name
Order
Citations
PageRank
Feng Chen164.07
Aiguo Xu2265.75
Guangcai Zhang362.38
Yingjun Li4133.88