铁-铍介质界面上激波折射现象的数值研究

计算物理 ›› 2008, Vol. 25 ›› Issue (4): 407-413.

铁-铍介质界面上激波折射现象的数值研究

于明, 程军波

北京应用物理与计算数学研究所, 北京 100088

收稿日期:2007-04-30 修回日期:2007-10-22 出版日期:2008-07-25 发布日期:2008-07-25
作者简介:于明(197l-),男,四川资阳,博士,副研究员,主要从事计算流体力学研究,北京市8009信箱13分箱100088.
基金资助:
中国工程物理研究院科学技术基金(20060108)资助项目

Refraction of Shock Waves at Fe-Be Interface

YU Ming, CHENG Junbo

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2007-04-30 Revised:2007-10-22 Online:2008-07-25 Published:2008-07-25

摘要/Abstract

摘要： 用数值方法研究铁-铍介质界面上的激波折射现象.运用激波极曲线理论分析不同强度的激波从正规折射过渡到非正规折射的临界角变化.运用一个具有二阶精度和波传播性质的激波捕捉法,数值求解激波折射运动的流体力学方程组.对正规折射,数值结果与激波极曲线理论一致;对非正规折射,不同强度的激波大都存在前驱的折射激波,并且入射激波的强度不同、入射角度不同,激波折射的图像也不同.

关键词: 铁-铍介质, 激波折射现象, 极曲线理论, 激波捕捉法, 前驱波

Abstract: We investigate numerically refraction of shock waves at ferrum-beryllium (Fe-Be) interface. Equations of state for Fe and Be adopt "stiffen gas" formulas. A shock polar theory is employed to analyze critical angles of transition from regular refraction to irregular refraction. A shock-capturing method in finite volume scheme with two order of precision and wave propagation is employed to discretize and solve hydrodynamics equations of shock waves. For regular refraction, numerical results agree well with shock polar theory. For irregular refraction, precursory refracted shock waves are observed, and refraction images vary with shock intensity and incident angles.

Key words: Fe-Be interface, refraction of shock waves, shock polar theory, shock-capturing method, plecursory waves

中图分类号:

O382.3

于明, 程军波. 铁-铍介质界面上激波折射现象的数值研究[J]. 计算物理, 2008, 25(4): 407-413.

YU Ming, CHENG Junbo. Refraction of Shock Waves at Fe-Be Interface[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 25(4): 407-413.