Abstract
previously shown to capture rarefaction effects in the standing-shearwave problems. Here, we further examine the capability of high-order 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 high-order Gauss-Hermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the Gauss-Hermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the even-order Hermite polynomials perform significantly better than those from the odd-order polynomials. This may be attributed to the zero-velocity component in the odd-order discrete set, which does not participate in wall
and gas collisions, and thus underestimates the wall effect.
| Language | English |
|---|---|
| Pages | 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 |
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Keywords
- high-order lattice Boltzmann models
- nonequilibrium gas flows
- Gauss-Hermite quadratures
- even-order Hermite polynomials
Cite this
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Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows. / Meng, Jian-Ping; Zhang, Yonghao.
In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , Vol. 83, No. 3, 11.03.2011, p. Article 036704.Research output: Contribution to journal › Article
TY - JOUR
T1 - Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows
AU - Meng, Jian-Ping
AU - Zhang, Yonghao
N1 - Impact Factor 2.400, Half-Life 6.7
PY - 2011/3/11
Y1 - 2011/3/11
N2 - Recently, kinetic theory-based 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 havepreviously shown to capture rarefaction effects in the standing-shearwave problems. Here, we further examine the capability of high-order 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 high-order Gauss-Hermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the Gauss-Hermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the even-order Hermite polynomials perform significantly better than those from the odd-order polynomials. This may be attributed to the zero-velocity component in the odd-order discrete set, which does not participate in walland gas collisions, and thus underestimates the wall effect.
AB - Recently, kinetic theory-based 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 havepreviously shown to capture rarefaction effects in the standing-shearwave problems. Here, we further examine the capability of high-order 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 high-order Gauss-Hermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the Gauss-Hermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the even-order Hermite polynomials perform significantly better than those from the odd-order polynomials. This may be attributed to the zero-velocity component in the odd-order discrete set, which does not participate in walland gas collisions, and thus underestimates the wall effect.
KW - high-order lattice Boltzmann models
KW - nonequilibrium gas flows
KW - Gauss-Hermite quadratures
KW - even-order Hermite polynomials
UR - http://www.scopus.com/inward/record.url?scp=79953158199&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.83.036704
DO - 10.1103/PhysRevE.83.036704
M3 - Article
VL - 83
SP - Article 036704
JO - Physical Review E
T2 - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 3
ER -