Volume 9, Issue 5
Microflow Simulations Via the Lattice Boltzmann Method

Nikolaos Prasianakis & Santosh Ansumali

Commun. Comput. Phys., 9 (2011), pp. 1128-1136.

Published online: 2011-05

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  • Abstract

The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations, for the stationary planar Couette flow for any Knudsen number was presented by S. Ansumali et al. [Phys. Rev. Lett., 98 (2007), 124502]. In this paper, simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments. The order of convergence to the exact solution is also studied. The lattice Boltzmann simulations are in excellent agreement with the exact solution.

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@Article{CiCP-9-1128, author = {Nikolaos Prasianakis and Santosh Ansumali}, title = {Microflow Simulations Via the Lattice Boltzmann Method}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {5}, pages = {1128--1136}, abstract = {

The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations, for the stationary planar Couette flow for any Knudsen number was presented by S. Ansumali et al. [Phys. Rev. Lett., 98 (2007), 124502]. In this paper, simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments. The order of convergence to the exact solution is also studied. The lattice Boltzmann simulations are in excellent agreement with the exact solution.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301009.271010s}, url = {http://global-sci.org/intro/article_detail/cicp/7541.html} }
TY - JOUR T1 - Microflow Simulations Via the Lattice Boltzmann Method AU - Nikolaos Prasianakis & Santosh Ansumali JO - Communications in Computational Physics VL - 5 SP - 1128 EP - 1136 PY - 2011 DA - 2011/05 SN - 9 DO - http://dor.org/10.4208/cicp.301009.271010s UR - https://global-sci.org/intro/cicp/7541.html KW - AB -

The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations, for the stationary planar Couette flow for any Knudsen number was presented by S. Ansumali et al. [Phys. Rev. Lett., 98 (2007), 124502]. In this paper, simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments. The order of convergence to the exact solution is also studied. The lattice Boltzmann simulations are in excellent agreement with the exact solution.

Nikolaos Prasianakis & Santosh Ansumali. (1970). Microflow Simulations Via the Lattice Boltzmann Method. Communications in Computational Physics. 9 (5). 1128-1136. doi:10.4208/cicp.301009.271010s
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