本文对谱方法用于周期性非定常流动的隐式求解方法进行了探讨,分析了影响计算稳定性和收敛速度的因素.提出了结合多重网格的隐式求解方法并对算法进行了验证,初步计算表明本文算法具有良好的稳定性和收敛速度.对于周期性非定常流动,结合本文提出的隐式求解的时域谱方法可以达到很高的精度且具有良好的计算效率.
In the present paper, a numerical method for the numerical solution of periodic flows,using the time spectral method is developed and validated. The stability issues associated with implicit solution of time domain spectral method are discussed and verified by numerical solutions.We propose to solve the governing equations implicitly with multigrid, which demonstrates favorable stability and convergence speed. Computed results validate the high efficiency and accuracy of current method.
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