三维N-S方程混合有限分析多重网格方法

Numerical Solution of 3 D N S Equations Using Hybrid Finite Analytic Multigrid Method

提出了一种求解三维定常不可压Ｎ－Ｓ方程的混合有限分析多重网格方法（ＨＦＡ－ＦＭＧ）。以三维方腔流动作为算例，计算表明提出的数值格式能极大地节省计算工作量且稳定有效。三维方腔流动的模拟成果较好地表现方腔内复杂的流动特征并和其他成果吻合。

This paper introduces a procedure to solve steady 3 D incompressible N S equations in primitive variables using HFAM with FAS FMG. The complex flows in cavities are used as the standard problems for testing the numerical codes. The calculation results illustrate that the algorithm developed in this paper exhibits grid independent convergence properties and that it is an asymptotically optimal iterate method.