格子 博尔茨曼·沙霍夫在笛卡尔格子上的变量普兰特尔数的动力模型
1Russian Academy of Sciences, Federal Research Center, "Computer Science and Control" of the , Vavilova 44, Moscow 119333, Russia.
Physical review. E
|February 7, 2025
概括
沙霍夫动力方程的新格子博尔兹曼 (LB) 模型是使用笛卡尔格子开发的. 这些模型准确地模拟稀释气体流动,包括滑动和过渡模式,并解决Knudsen悖论.
科学领域:
- 计算物理学的计算物理.
- 流体动力学 流体动力学
- 动力学理论 动力学理论
背景情况:
- 传统的热格子博尔兹曼 (LB) 模型经常与可变的普兰特尔数和复杂的格子结构作斗争.
- 精确模拟稀释气体动态需要先进的动力学模型.
研究的目的:
- 开发用于沙霍夫运动方程的新型二维格子博尔兹曼 (LB) 模型.
- 为了使卡特西亚格子上的标准碰撞和流实现.
- 为了提高稀释气体流量的模拟.
主要方法:
- 在笛卡儿格子上开发了LB模型,将沙霍夫局部平衡投射到赫米特多项式上.
- 提出了一种半自动方法来构建高阶格子,以最大限度地减少与马克斯韦-博尔兹曼分布的差异.
- 使用了标准的碰撞和流动LB算法.
主要成果:
- 在标准25和37速度格子上建立了沙霍夫LB模型,局部平衡取决于普兰特尔数.
- 推断出两个高序列的37速度格子.
- 在模拟热波衰变,热Couette流和Couette,Poiseuille和Fourier流中的稀释效应方面表现出良好的准确性.
结论:
- 开发的沙霍夫LB模型准确地捕捉了稀释气体流动现象在滑动和过渡状态.
- 这些模型对模拟特定弹道系统问题,如克努森悖论,显示出前景.
- 使用笛卡尔格子可以简化实现,同时保持准确性.
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