统一的气体动力波粒子方法用于多尺度的语子传输
Hongyu Liu1, Xiaojian Yang1, Chuang Zhang2
1Hong Kong University of Science and Technology, Department of Mathematics, Clear Water Bay, Kowloon, Hong Kong, China.
Physical review. E
|January 21, 2026
概括
一种新的统一气体运动波粒子 (UGKWP) 方法有效地模拟了所有系统的热传递,克服了稀释气体流和微/纳米级热传递的经典蒙特卡洛方法的局限性.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 计算科学 计算科学
背景情况:
- 经典的蒙特卡洛方法在模拟多尺度热传输方面面临局限性,原因是时间步骤和细胞大小的限制.
- 这些局限性阻碍了稀释气体流和微/纳米级热传输从弹道到扩散模式的有效模拟.
研究的目的:
- 开发一种统一的气动波粒子 (UGKWP) 方法,在所有系统中解决声子博尔兹曼运输方程 (BTE).
- 克服传统方法在模拟多尺度热量和质量转移问题的缺点.
主要方法:
- UGKWP方法使用了音声BTE的时空合进化模型.
- 它在细胞接口上构建了一个多尺度的流量,结合了确定性和统计性粒子组件.
- 这种方法既可以捕捉近平衡 (扩散) 的运输现象,也可以捕捉不平衡 (弹道) 的运输现象.
主要成果:
- UGKWP方法表现出了显著的多尺度适应性,弥合了弹道和扩散运输现象.
- 它在扩散极限中汇聚到富里埃定律,并在弹道极限中准确地描述自由流动的粒子.
- 数字测试证实了该方法在所有Knudsen方案中表现出色,没有传统约束.
结论:
- UGKWP方法是一种高效准确的计算工具,用于模拟多尺度不平衡热传输.
- 它在数值性能和物理适用性方面比传统方法具有显著的优势.
- 该方法精确地捕捉到平衡和不平衡的热传递,同时遵守物理定律.
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