计算物理 ›› 1987, Vol. 4 ›› Issue (1): 93-101.

• 论文 • 上一篇    下一篇

空中点爆炸问题的数值解-网格局部加密技术

吴颂平   

  1. 北京大学数学系
  • 收稿日期:1986-11-15 出版日期:1987-03-25 发布日期:1987-03-25

NUMERICAL SOLUTION TO POINT SOURCE BLAST IN AIR WITH LOCAL GRID REFINEMENT

Wu Song-ping   

  1. Department of Mathematics, Peking University
  • Received:1986-11-15 Online:1987-03-25 Published:1987-03-25

摘要: 本文用TVD格式对空中点爆炸问题进行了数值计算。在计算中使用了一种自适应网格算法。即按网格的尺寸不同将网格分成若干等级,并根据上一时间层上的压力梯度分布调整各级网格的范围。越靠近激波,所用的网格就越细。然后,在调整后的网格上计算下一时间层上的解。这种自适应网格算法提高了计算结果的精度,同时也大大提高了计算的效率。

Abstract: In this paper, the problem of point source blast in air is computed numerically with a. TVD scheme proposed by A, Harten[1]. During the computation, a grid hierarchy is introduced. The grids at different levels in the hierarchy are adjusted adaptively according to the distribution of pressure. Then,the computation marches to the next time step on the adjusted. grids. Numerical computation demonstrates the accuracy and efficiency of the proposed algorithm.