基于虚拟介质方法数值模拟应力波穿透水舱  

Numerical simulation of stress wave penetrating a water tank using the ghost material method

作　　者：史汝超 孙晓旺 SHI Ruchao;SUN Xiaowang(College of Science,Jiangsu Ocean University,Lianyungang 222005,China;Lianyungang Zhongfu Lianzhong Composites Group Co.,Ltd.,Lianyungang 222023,China;School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]江苏海洋大学理学院,江苏连云港222005 [2]连云港中复连众复合材料集团有限公司,江苏连云港222023 [3]南京理工大学机械工程学院,南京210094

出　　处：《振动与冲击》2021年第8期117-123,共7页Journal of Vibration and Shock

基　　金：淮海工学院青年基金(Z2016014);连云港市博士后科研项目资助基金(188903);国家自然科学基金(11802140)。

摘　　要：将虚拟介质方法推广到应力波与流固界面的相互作用,基于修正虚拟流体方法(MGFM)思想提出一种适用于流固界面应力波折射问题的界面状态计算法则。以此为基础,用Zwas格式和WENO格式分别离散固体和流体控制方程,数值模拟应力波穿透水舱。数值测试表明:虚拟介质方法推广到模拟流固界面上的应力波时,数值误差具有很好的收敛性;该研究提出的计算法则具有一阶精度。一维数值结果与理论解析解能很好地吻合,验证了用虚拟介质方法模拟应力波在流固界面处反射与透射的可行性。应力波穿透水舱的数值结果表明:虚拟介质方法与任意拉格朗日-欧拉(ALE)方法得到的数值结果相近;水舱加压后,透射波的强度也相应的增加;不同的水舱压力下,应力波在流固界面处的折射规律相近。该结论对舰船的防护设计有实际意义。The ghost material method was extended to the interaction between stress wave and fluid-solid interface.An interfacial calculation algorithm based on modified ghost fluid method(MGFM)was proposed for stress wave refraction on fluid-solid interface.On this basis,we used the Zwas scheme and the WENO scheme,respectively,to discretize solid and fluid governing equations to numerically simulate stress wave penetrating water tanks.Numerical test shows that the ghost material method was convergent when applied for stress wave impacting at fluid-solid interface.The presented calculation algorithm has first order numerical accuracy.1D numerical results coincide well with the exact solutions.This verifies the feasibility of the extension of the Ghost Material Method to stress wave reflection and transmission on fluid-solid interface.Numerical results of stress wave penetrating the water tank show that(i)the results by the ghost material method are closed to those by the arbitrary-Lagrangian-Eulerian(ALE)method,(ii)the intensity of the transmitted wave increases to some extent after increasing the pressure of water tank,(iii)stress wave refractions in the vicinity of fluid-solid interface are very closed under different pressures.The conclusions are practically significant to ship defense and design.

关 键 词：应力波 有限差分法 可压缩流动 流固耦合 

分 类 号：O302[理学—力学] O39