摘要
该文研究了使用谱方法进行内流周期性非定常计算的可行性及计算效率。在文中提出使用隐式时间推进方法求解相应的控制方程,用以加速收敛,并对计算方法的稳定性和无反射边界条件处理方法等进行了研究。使用时域谱方法对内流气动声学基准算例和二维喷管算例进行了计算。结果表明对周期性非定常流动,相对于常规的非定常时间推进方法,使用谱方法来逼近物理时间偏导数项可以提高计算精度并减少计算耗时,从而可以将其用于叶轮机械非定常流动计算。
The computational efficiency of spectral methods was evaluated for periodic unsteady flow computations with an implicit time marching method to accelerate the convergence. Also, the stability of non-reflecting boundary conditions for the spectral method for periodic unsteady flows was analyzed. An aeroacoustics benchmark problem and two-dimensional inviscid nozzle flow were simulated to validate the spectral method. The results demonstrate that the both accuracy and efficiency of the spectral method are better than the dual time step method for periodic unsteady computations. Thus, the spectral method can be used for many multistage turbomachinery problems.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第2期261-264,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(50676043)
国家“九七三”重点基础研究发展资助项目(2007CB210108)
关键词
非定常流动
数值模拟
谱方法
隐式推进
unsteady flow
numerical simulation
spectral method
implicit time marching
