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工程力学  2014 

解不可压流动的高时间精度投影法研究

DOI: 10.6052/j.issn.1000-4750.2013.04.0342, PP. 79-85

Keywords: NS方程,不可压流动,连续投影法,时间精度,大气边界层

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Abstract:

利用连续投影思路,为NS方程的求解构造了一类压力和速度能同时达到高阶时间精度的投影格式,并给出统一的数学描述式。设置时间精度分别为二阶和三阶的两种投影算法,采用二维方腔驱动流算例验证了算法稳定性,采用Taylor涡列问题验证了算法的时间精度。分别用两种算法对低湍流度大气边界层进行了模拟,通过模拟结果的比较证明了提高算法时间精度对不可压流动的频谱特性计算有改善作用。

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