基于子电池的CPR方法的能量稳定性属性第二阶段CNNW限制在解决保护规律
Ran Liu1,2, Zhen-Guo Yan2, Huajun Zhu2
1School of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, China.
Entropy (Basel, Switzerland)
|May 27, 2023
概括
这项研究证明了通过重建 (CPR) 方法与分阶流点的校正程序的能量稳定性. 线性和非线性子细胞限制方法都确保了这种计算流体动力学方法的稳定性.
科学领域:
- 计算流体动力学 计算流体动力学
- 数字分析 数字分析
- 应用数学 应用数学 应用数学
背景情况:
- 通过重建 (CPR) 方法进行校正程序对于解决流体动力学问题至关重要.
- 确保能量稳定对于流体动力学数值方法的可靠性至关重要.
- 使用子细胞限制技术来处理不连续性并保持溶液的准确性.
研究的目的:
- 为了研究使用分阶流点的CPR方法的能量稳定性质.
- 分析第二阶段子细胞限制对CPR方法稳定性的影响.
- 从理论和数值上验证拟议方法的稳定性.
主要方法:
- 使用第二阶段子细胞紧的非均的非线性加权 (CNNW2) 方案来限制有问题的细胞.
- 采用冲击指示器来识别具有潜在不连续性的细胞.
- 使用CPR方法计算光滑细胞与分阶流点.
- 从理论上证明线性CNNW2方案的线性能量稳定性.
主要成果:
- 使用分阶流点和子细胞线性CNNW2限制的CPR方法被证明是能量稳定的.
- 使用分阶流点和子细胞非线性CNNW2限制的CPR方法被证明是非线性稳定的.
- 数学实验证实了关于能量稳定的理论发现.
结论:
- 使用分级流量点的CPR方法,特别是与二次子细胞限制相结合时,为计算流体动力学提供了稳定可靠的方法.
- 线性和非线性CNNW2限制方案都有助于CPR方法的整体稳定性.
- 这些发现为这种方法在复杂的流量模拟中应用提供了理论和数值基础.
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