平底物体撞水响应分析

Hydrodynamic Impact Analysis of Flat Button Rigid Bodies on Viscous Fluid

从二维的Navier Stokes方程出发 ,借助于拉普拉斯变换与数值逆变换技术 ,采用边界元方法对二维刚性平底物体撞水 (粘性流场 )的响应问题进行了分析 .在拉氏变换域内将线性化的Navier Stokes方程转化为求解相应的势函数和流函数 ,前者满足拉普拉斯方程 ,后者满足Helmholtz方程 .

Mixing BEM and numerical Laplace inversion, a new method is proposed for hydrodynamic impact analysis of a flat button rigid body falling on viscous fluid. The linearized Navier Stokes equation of 2 D viscous incompressible fluid is transformed into resolving the corresponding potential function and stream function in Laplace domain, while the former satisfies the Laplace equation and the latter satisfies the Helmholtz equation. By solving these two equations, the displacement response of the body falling on the fluid at different viscous coefficients and different falling altitudes is obtained.