对流扩散问题非均匀网格上的部分半粗化多重网格方法
The Partial Seni-Coarse Multigrid Method on Nonuniforn Grid for Convection Diffusion Problens

结合非均匀网格上的 HOC 格式与部分半粗化的多重网格方法对具有边界层的2维对流扩散问题进行了求解，并基于面积率构造了部分半粗化多重网格方法的插值算子和限制算子。数值实验表明：对于只需要在1个方向进行网格加密的边界层问题，基于部分半粗化的网格分布策略及多重网格算法可以大大减少无边界层方向的网格数，从而较完全粗化的网格分布策略及多重网格算法具有更高的计算精度和求解效率。
The two dimensional convection diffusion problems are solved by combining the HOC scheme on nonuni-form grid with multigrid method in partial semi-coarse strategy. The projection operator and interpolation operator for partial semi-corase multigrid method are reconstructed by area ratio. The numerical results show that for the bounda-ry layer problems with boundary layer in only one direction,the partial semi-coarse mesh distribution strategy and corresponding multigrid method can greatly reduce the mesh number on the smooth solution direction. The multigrid method of partial semi-coarse strategy produces higher accuracy and costs less CPU time than that of full coarse mesh strategy