一种新的基于方向导数的二维自适应网格生成算法

A New Algorithm of Mesh Generation for 2-D Adaptive Mesh Based on Directional Derivatives

结合形变原理及网格迭代思想,利用方向导数计算控制函数,提出一种新的二维空间自适应网格生成算法。数值实验表明,该算法能较好地适应解函数的空间剧烈变化。与其他自适应算法比较,其主要优点是该算法逻辑简单,避免了解网格偏微分方程,节约了网格计算时间。

A new algorithm of mesh generation for 2-D adaptive mesh method is proposed while combining the deformation principle and the idea of mesh iteration by means of direetional derivatives to compute the monitor function. The numerical experiments show that this algorithm can well adapt to high spatial activities of the solutions. The main advantage of this algorithm is its simple logicality and it can avoid solving moving mesh partial differential equations and save time for computing mesh to compare the other adaptive algorithms.