不对称六边形网格及三向叠代解法

ASYMMETRIC HEXAGONAL MESH AND TRI-DIRECTIONAL INTERATION METHOD

本文提出的“不对称六边形网格”兼有矩形网格和三角形单元的优点,又能避免两者的绝大部分缺点。为了充分发挥这种网格的优越性,著者推导了高效的“三向叠代解法”。把“不对称六边形网格”与“三向叠代解法”结合在一起,构成了偏微分方程数值解的强有力的工具。

The asymmetric hexagonal mesh presented inthis paper has the merits of both rectangular meshand triangular elements (asymmetric polygonal mesh).It can, at the same time, eliminate the shortcomingsof them.To fully utilize the advantage of the asym-metric hexagonal mesh, a highly effective method,the tri-directional ueration method is dercloped,Theasymmetric hexagonal mesh in combination with thetri-directional iteration method gives a powerful toolfor numerical solution of partial differential equati-ons.