非线性流体-刚体结构相互作用问题的一种数值模拟方法

给出了一种模拟非线性流体-刚体结构相互作用问题的数值方法.文中假定结构承受大的刚体运动,流体流动受非线性有粘或无粘的场方程支配并满足自由表面和两相耦合界面上的非线性边界条件,利用任意拉氏-欧氏(ALE)网格系统构造了数值模型.采用所探讨的多块数值格式,允许可动重造网格间有独立的相对运动,从而克服了流体网格与固体大运动匹配的困难.通过数值离散化,导出了描述非线性流固耦合动力学的数值方程并应用耦合迭代过程对其作了求解.通过算例,说明了所提出数值模型的应用.

A NUMERICAL METHOD TO SIMULATE NONLINEAR FLUID-RIGID STRUCTURE INTERACTION PROBLEMS

A numerical method to simulate nonlinear fluid-rigid structure interaction problems is developed.The structure is assumed to undergo large rigid body motions and the fluid flow is governed by nonlinear,viscous or non-viscous,field equations with nonlinear boundary conditions applied to the free surface and fluid-solid interaction interfaces.An Arbitrary-Lagrangian-Eulerian(ALE) mesh system is used to construct the numerical model.A multi-block numerical scheme of study is adopted allowing relative motion between moving overset grids,which are independent of one another.This provides a convenient method to overcome the difficulties of matching fluid meshes with large solid motions.Nonlinear numerical equations describing nonlinear fluid-solid interaction dynamics are derived through a numerical discretisation scheme of study.A coupling iteration process is used to solve these numerical equations.Numerical examples are presented to demonstrate applications of the developed numerical model.