# Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows

@article{Meng2011AccuracyAO, title={Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows}, author={Jianping Meng and Yonghao Zhang}, journal={J. Comput. Physics}, year={2011}, volume={230}, pages={835-849} }

- Published 2011 in J. Comput. Physics
DOI:10.1016/j.jcp.2010.10.023

In this work, we have theoretically analyzed and numerically evaluated the accuracy of high-order lattice Boltzmann (LB) models for capturing nonequilibrium effects in rarefied gas flows. In the incompressible limit, the LB equation is proved shown to be able to reduce to the linearized BhatnagarGross-Krook (BGK) equation. Therefore, when the same Gauss-Hermite quadrature is used, LB method closely assembles the discrete velocity method (DVM). In addition, the order of Hermite expansion for the… CONTINUE READING

#### Citations

##### Publications citing this paper.

Showing 1-10 of 14 extracted citations

## Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes

View 5 Excerpts

Highly Influenced

## Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations

View 5 Excerpts

Highly Influenced

#### References

##### Publications referenced by this paper.

Showing 1-10 of 59 references

## A unified gas-kinetic scheme for continuum and rarefied flows

View 10 Excerpts

Highly Influenced

## Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers

View 10 Excerpts

Highly Influenced

## On the modelling of isothermal gas flows at the microscale

View 5 Excerpts

Highly Influenced

## Entropy and Galilean invariance of lattice Boltzmann theories.

View 13 Excerpts

Highly Influenced

## Kinetic theory representation of hydrodynamics: A way beyond the Navier Stokes equation

View 11 Excerpts

Highly Influenced

## D

View 10 Excerpts

Highly Influenced

## Numerical solution of the linearized Boltzmann equation for an arbitrary intermolecular potential

View 6 Excerpts

Highly Influenced

## Oscillatory couette flow at arbitrary oscillation frequency over the whole range of the knudsen number

View 6 Excerpts

Highly Influenced

## Flow of gaseous mixtures through rectangular microchannels driven by pressure , temperature , and concentration gradients

View 7 Excerpts

Highly Influenced

## The driven cavity flow over the whole range of the Knudsen number

View 7 Excerpts

Highly Influenced