Scholarlink

<p>We give an explicit description of the spectral closure for the three-dimensional linear Boltzmann-BGK equation in terms of the macroscopic fields, density, flow velocity and temperature. This results in a new linear fluid dynamics model which is valid for any relaxation time, thus providing an optimal hydrodynamic model for rarefied gas flow over a large range of Knudsen numbers. The non-local exact fluid dynamics equations are compared to the Euler, Navier–Stokes and Burnett equations. Our results are based on a detailed spectral analysis of the linearized Boltzmann-BGK operator together with a suitable choice of spectral projection.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Exact hydrodynamic manifolds for the linear Boltzmann BGK equation II: spectral closure

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月25日

查看全文
  • Florian Kogelbauer,
  • Ilya Karlin

摘要

We give an explicit description of the spectral closure for the three-dimensional linear Boltzmann-BGK equation in terms of the macroscopic fields, density, flow velocity and temperature. This results in a new linear fluid dynamics model which is valid for any relaxation time, thus providing an optimal hydrodynamic model for rarefied gas flow over a large range of Knudsen numbers. The non-local exact fluid dynamics equations are compared to the Euler, Navier–Stokes and Burnett equations. Our results are based on a detailed spectral analysis of the linearized Boltzmann-BGK operator together with a suitable choice of spectral projection.