水下爆炸船体结构响应间断伽辽金法数值模拟

Numerical simulation of the response for Hull plates subjected to underwater explosion based on RKDG method

为求解水下爆炸强间断流场,采用Level Set方法定位多相流界面位置,应用虚拟流体方法处理邻近界面两侧物理量,并用RKDG方法进行空间和时间的离散,求解流场的Euler方程,并进行一维、二维评价,计算结果能够较好地反映水下爆炸冲击波产生、传播、反射和爆炸产物的膨胀等现象.最后,结合大型非线性有限元软件ABAQUS,模拟了船体板在水下爆炸载荷作用下的变形和响应特征.模拟结果表明,间断迦辽金法能够实现对水下爆炸船体结构响应精确模拟,板架结构响应与爆心距离成反比.

In order to solve the underwater explosion flow field with large discontinuities, Level Set method was applied to track the interface position of the multi-medium flow, Ghost Fluid method was used to calculate the physical parameter of both sides of the interface, time and space were discretized by Runge-Kutta Discontinuous Galerkin Method, Euler equations of the flow field were solved. One-dimensional and two-dimensional assessments were conducted by RKDG approach. The results reflect the phenomena of underwater explosion shock wave generation, propagation, reflection and explosion products expansion. Finally, the shock responses and damage characteristics of hull plates under shock load were simulated with the nonlinear FEM softeware ABAQUS. The RKDG method can be applied to simulate the hull plates response with high accuracy. The response of hull plates is inversely proportional to the blast center distance.