改进物质点法及其在爆炸与冲击动力学中的应用  

Improvement of the material point method and its application in explosion and impact dynamics

作　　者：陈卫东[1] 刘澜 路胜卓[1] 吴世博 马敬鑫 吴培文 CHEN Weidong;LIU Lan;LU Shengzhuo;WU Shibo;MA Jingxin;WU Peiwen(College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2021年第11期1671-1678,共8页Journal of Harbin Engineering University

基　　金：黑龙江省自然科学基金联合引导项目(LH2019A008)。

摘　　要：为了提高物质点法数值模拟爆炸与冲击动力学问题的计算效率和计算精确度,本文对物质点法进行了2项改进。第1项改进是构建物质点自由流出边界条件,该边界条件能够使物质点及其物理信息根据实际情况从背景网格边界自由流出;第2项改进是提出物质点自适应分裂改进方案,该改进方案能够使物质点根据分裂判定条件沿多个坐标轴方向同时进行自适应分裂。通过施加物质点自由流出边界条件,能够在保证数值模拟计算精确度的同时显著提高计算效率;通过实施物质点自适应分裂改进方案,能够显著提高数值模拟的计算精确度,因此经过这2项改进的物质点法能够更加适用于数值模拟爆炸与冲击动力学问题。In this paper, two improvements have been made in order to increase the calculation efficiency and accuracy for the numerical simulation of explosion and impact dynamics employed with the material point method(MPM). The first improvement establishes a material point free outflow boundary condition, which can allow the material points and relevant physical information to outflow freely from background grid boundaries according to the actual situation. The second improvement is made to the self-adaptive material point splitting scheme, which can allow the material points to simultaneously and adaptively split along multiple coordinate axes according to the splitting decision conditions. By applying the material point free outflow boundary condition, the calculation efficiency of numerical simulation can be improved significantly while ensuring calculation accuracy;by applying the improved self-adaptive material point splitting scheme, the calculation accuracy of the numerical simulation can be improved significantly. Therefore, such improvements can make MPM more applicable for the numerical simulation of explosion and impact dynamics.

关 键 词：物质点法 流出边界 物质点分裂 爆炸动力学 冲击动力学 近物面水下爆炸 聚能射流 数值模拟 

分 类 号：O302[理学—力学] O389