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Abstract <p>The applicability of lattice Boltzmann equations based on the Shakhov kinetic equation to modeling rarefied flows under the action of a significant external force is studied. As a test problem, a two-dimensional plane Poiseuille flow is considered for various Knudsen numbers and various amplitudes of the external force leading to characteristic flow velocities corresponding to the Mach number in the range from 0.4 to 0.6. It is shown that two-dimensional lattice models with 37 velocities can describe nonequilibrium effects beyond the applicability of the continuous medium approximation in the slip rarefaction regime. The profiles of longitudinal and transverse heat fluxes, as well as the profiles of the velocity and temperature of the rarefied gas are considered.</p>

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Lattice Boltzmann Equations Based on Shakov’s Model and Applications to Modeling Rarefied Poiseuille Flow with a High Subsonic Velocity

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • O. V. Ilyin

摘要

Abstract

The applicability of lattice Boltzmann equations based on the Shakhov kinetic equation to modeling rarefied flows under the action of a significant external force is studied. As a test problem, a two-dimensional plane Poiseuille flow is considered for various Knudsen numbers and various amplitudes of the external force leading to characteristic flow velocities corresponding to the Mach number in the range from 0.4 to 0.6. It is shown that two-dimensional lattice models with 37 velocities can describe nonequilibrium effects beyond the applicability of the continuous medium approximation in the slip rarefaction regime. The profiles of longitudinal and transverse heat fluxes, as well as the profiles of the velocity and temperature of the rarefied gas are considered.