用移动线和平面热源进行热传输的分区有限差方法
1School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
本研究介绍了一种高效的数值方法,用于模拟移动单一源的热传递. 该方法准确地模拟了非平衡热力学过程中的产量.
科学领域:
- 热力学是一种热力学.
- 计算物理 计算物理
- 数字分析 数字分析
背景情况:
- 不可逆转的热力学过程通常涉及移动单一源的热传递.
- 精确模拟这些过程需要处理热源附近的溶液奇点.
- 分析局部产量对于理解非平衡系统中的能量分布至关重要.
研究的目的:
- 开发一个高效的数值方案来模拟由移动单一源的扩散方程控制的传热.
- 准确地解决热源附近的溶液奇点,用于精确的局部产量分析.
- 为散热系统的大规模模拟提供可靠的工具.
主要方法:
- 采用了有限差异框架,并采用了分区离谱化策略.
- 分析导出并纳入源附近的溶液"跳跃"条件.
- 混合方法结合了靠近源的专业近似和远离源的标准方案.
主要成果:
- 拟议的方法实现了全球二次收空间离散.
- 生成一个稀疏的系统,使得高效的大规模模拟.
- 数字示例证明了开发的方案的准确性和有效性.
结论:
- 开发的数值方案是高效和准确的模拟热量转移与移动的单一来源.
- 该方法为研究非平衡热过程中的能量分布提供了可靠的工具.
- 这项工作有助于理解复杂的热力学系统.
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