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

Nikolaos Prasianakis & Santosh Ansumali

DOI: 10.4208/cicp.301009.271010s

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://doi.org/10.4208/cicp.301009.271010s UR - https://global-sci.org/intro/article_detail/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 and Santosh Ansumali. (2011). 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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