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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
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Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas

机译：颗粒气体Navier-Stokes输运系数的修正Sonine近似

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Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [J.J. Brey, M.J. Ruiz-Montero, Phys. Rev. E 70 (2004) 051301, J.J. Brey, M.J. Ruiz-Montero, P. Maynar, NIT Garcia de Soria, J. Phys. Condens. Matter 17 (2005) S2489], we implement in this paper a modified version of the first Sonine approximation in which the Maxwell-Boltzmann weight function is replaced by the homogeneous cooling state (HCS) distribution. The structure of the transport coefficients is common in both approximations, the distinction appearing in the coefficient of the fourth cumulant a(2). Comparison with computer simulations shows that the modified approximation significantly improves the estimates for the heat flux transport coefficients at strong dissipation. In addition, the slight discrepancies between simulation and the standard first Sonine estimates for the shear viscosity and the self-diffusion coefficient are also partially corrected by the modified approximation. Finally, the extension of the modified first Sonine approximation to the transport coefficients of the Enskog kinetic theory is presented. (c) 2006 Elsevier B.V. All rights reserved.
机译：出于对热通量传输系数的模拟数据与通过标准的第一Sonine近似从玻耳兹曼方程式导出的表达式之间的高耗散之间的分歧所致[J.J. Brey，M.J. Ruiz-Montero，物理学修订版E 70（2004）051301，J.J. Brey，M.J. Ruiz-Montero，P.Maynar，NIT Garcia de Soria，J.Phys。凝结。 Matter 17（2005）S2489]，我们在本文中实现了第一个Sonine逼近的改进版本，其中用均匀冷却态（HCS）分布代替了Maxwell-Boltzmann权函数。输运系数的结构在两个近似中都是相同的，区别在于第四累积量a（2）的系数。与计算机仿真的比较表明，修正的近似值可以显着改善强耗散条件下的热通量传输系数估算值。另外，模拟和标准第一Sonine剪切粘度和自扩散系数之间的细微差异也可以通过修正的近似值得到部分修正。最后，提出了改进的第一Sonine近似对Enskog动力学理论的输运系数的扩展。 （c）2006 Elsevier B.V.保留所有权利。

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