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Published April 2011 | Published
Journal Article Open

Accuracy of the lattice Boltzmann method for low-speed noncontinuum flows

Abstract

Simulation of noncontinuum gas flows presents tremendous challenges, especially for nanoscale devices that usually exhibit low speeds and isothermal conditions. Such simulations are often achieved through use of the Boltzmann Bhatnagar-Gross-Krook equation, which forms the foundation for the lattice Boltzmann (LB) method. Accuracy of the LB method in noncontinuum flows is widely assumed to depend on the order of quadrature used. Here, we study noncontinuum Couette flow and discover that interaction of the lattice with the solid boundaries is the dominant mechanism controlling accuracy—quadrature order plays a comparatively minor role. This suggests the applicability of low-order quadrature in LB simulation of wall bounded isothermal noncontinuum flows, and leads to a framework and rationale for accurate implementation of LB models in noncontinuum flows.

Copyright and License

© 2011 American Physical Society.

Acknowledgement

Y.S. would like to acknowledge partial support from the National Natural Science Foundation of China (Grant No. 50806085). The authors gratefully acknowledge support from the Australian Research Council Grants Scheme.

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Additional details

Created:
October 6, 2023
Modified:
October 6, 2023