English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The lattice Boltzmann (LB) method intrinsically links to the Boltzmannequation with the Bhatnagar-Gross-Krook collision operator; however, it hasbeen questioned to be able to simulate noncontinuum bounded gas flows at themicro and nanoscale, where gas moves at a low speed but has a large Knudsennumber. In this article, this point has been verified by simulating Couetteflows at moderate and large Knudsen numbers (e.g., Kn=10 and Kn=100) by thelinearized LB models based on the popular half-space Gaussian Hermite (HGH)quadrature. The underlying cause for poor accuracy of these conventional modelsis analyzed in light of numerical evaluation of the involved Abramowitzfunctions. A different thought on velocity discretization is then proposedusing Gauss Legendre (LG) quadrature. Strikingly, the resulting GL-based LBmodels have achieved high accuracy in simulating Couette flows in the strongtransition and even free molecular flow regimes. The numerical study in thisarticle reveals an essentially different while workable way in constructing LBmodels for simulating micro and nanoscale low-speed gas flows with strongnoncontinuum effects.

Velocity Discretization for Lattice Boltzmann Method for Noncontinuum Bounded Gas Flows at the Micro and Nanoscale