格子博尔兹曼法用于曲线坐标系中的辐射转移
Mingqi Liu1, Xiaochuan Liu1, Yijie Wei1
1Beihang University, School of Aeronautic Science and Engineering, Beijing 100191, China.
Physical review. E
|November 18, 2025
概括
本研究介绍了一种新的格子博尔兹曼法 (LBM),用于解决复杂曲线几何体中的辐射转移方程 (RTE). 该方法为辐射转移问题提供了简单,准确和稳定的数值解决方案.
科学领域:
- 计算物理学的计算物理.
- 热传递是一种传递热量的过程.
- 数字方法 数字方法.
背景情况:
- 曲线几何体中的辐射转移对于许多工程应用至关重要.
- 曲线系统中辐射转移方程 (RTE) 的现有数值方法是复杂的,缺乏普遍性.
研究的目的:
- 开发一种通用和简单的数值方法,用于在曲线坐标中解决 RTE.
- 介绍一个适用于复杂几何形状的格子博尔兹曼法 (LBM).
主要方法:
- 该研究使用查普曼-恩斯科格分析从曲线辐射转移方程 (RTE) 导出了一个格子博尔茨曼法 (LBM).
- 该方法结合了度量张量和曲线直线辐射转移运算符,以简单和适用.
主要成果:
- 数字测试验证了拟议的LBM的准确性和稳定性.
- 非对称分析证实了该方法的二次趋同.
- 应用LBM是为了研究光纤激光器中的热辐射转移.
结论:
- 开发的LBM提供了一个高效和准确的工具,用于解决曲线坐标中的辐射转移问题.
- 这种方法提供了一个通用和简单的方法,解决现有技术的局限性.
- 对光纤激光器的应用证明了其在优化设计方面的实际实用性.
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