CAJ | 학술논문

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。
결합비균균망격상적 HOC 격식여부분반조화적다중망격방법대구유변계층적2유대류확산문제진행료구해，병기우면적솔구조료부분반조화다중망격방법적삽치산자화한제산자。수치실험표명：대우지수요재1개방향진행망격가밀적변계층문제，기우부분반조화적망격분포책략급다중망격산법가이대대감소무변계층방향적망격수，종이교완전조화적망격분포책략급다중망격산법구유경고적계산정도화구해효솔。
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.