水下爆炸近场非均熵流的特征线差分解法  

Difference method of characteristics in isentropic flow of underwater explosion in near-field region

作　　者：李晓杰[1] 张程娇[1] 闫鸿浩[1] 王小红[1] 王宇新[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《爆炸与冲击》2012年第6期604-608,共5页Explosion and Shock Waves

基　　金：国家自然科学基金项目(10972051);高等学校博士学科点专项科研基金项目(20090041110024);中央高校基本科研业务费专项基金项目(DUT11LK04)~~

摘　　要：提出了一种改进的特征线差分方法,根据力学基本方程推导出2族带有熵变修正项的特征线方程,并将质点迹线方程补充为第3族特征线方程,利用这3个特征线方程可以对水下爆炸冲击波及波后的非均熵流场进行求解。由于特征线差分法无需引入人工粘性项处理冲击波间断问题,所以减少了人为干预的影响因素。最后,应用这种改进的特征线法对质量分数比w(TNT)∶w(RDX)=40∶60的TNT/RDX炸药球的水下爆炸问题进行了数值模拟。在比例距离1≤R/R0≤4的近场范围内,计算得到的冲击波峰值压力与文献实验数据的最大相对误差在13.1%以内,进一步证明了这种改进的特征线差分方法的正确性。An improved difference method of characteristics is discribed.Two groups of characteristic equations with entropy terms are deduced according to the basic mechanics equations,and the particle path line is added in the equation set as the third characteristic equation.The isentropic flow after blast shock wave can be solved using the three characteristic equations.There is no artificial viscosity term in the equations,so the influence of the human intervention is reduced.Then,by applying the improved difference method of characteristics,the underwater explosion of the spherical charge of composition B-3 is stimulated.In the scaled distance of 1≤R/R0≤4,the peak pressure error between the numerical calculation results and the experiment curve is less than 13.1%,which proves that the improved difference method of characteristics is reasonable.

关 键 词：爆炸力学 峰值压力 特征线法 非均熵流场 水下爆炸 

分 类 号：O381[理学—流体力学]