提出了一种求解二维非定常不可压Navier-Stokes/Boussinesq方程的高精度全隐式紧致差分格式,为了提高隐格式的求解效率,在每一个时间步上,采用多重网格的全近似格式(FAS)加速其迭代收敛过程,其主要特点是既适于线性问题的求解又适用于非线性问题的求解.作为方法精确性和可靠性的验证,对方腔内部的自然对流问题进行了数值模拟.取Pr=0.71,在最大网格等分数为128×128网格上,Rα数最大算到107,所得结果与已有文献结果吻合的很好.
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