非线性液体晃荡的高精度两相SPH模拟研究

非线性液体晃荡广泛存在于海洋工程与水动力学领域，涉及高度非线性的控制方程、运动的物质界面、强烈的流固耦合作用。探索能够综合考虑气垫效应与水动弹性的高效数值方法，开展液体晃荡相关的预测模型与机理研究，在学术与工程上都具有非常重要的意义。光滑粒子动力学（SPH）方法是一种拉格朗日型无网格粒子方法，方便处理运动界面、大变形及复杂流动区域，在模拟含自由液面、气垫效应与水动弹性的液体晃荡问题方面具有特殊优势。本项目通过解决“SPH方法精度与稳定性的平衡”及“流固耦合技术与界面处理算法”两个关键问题，发展能够模拟含气垫效应与水动弹性的非线性液体晃荡的高精度两相SPH方法；并基于所发展的SPH方法，结合模型实验，研究液体晃荡过程中液体运动规律、流固耦合特性和结构运动、变形甚至破坏的机理，揭示气垫效应和水动弹性对液体晃荡的影响规律，为海洋工程与水动力学领域的重大工程和科学需求提供科学的方法和新的思路。

Nonlinear liquid sloshing widely exists in ocean engineering and hydrodynamics and is frequently associated with highly nonlinear governing equations, moving interfaces and strong fluid-structure interactions. It is of great importance both in academics and engineering to explore efficient numerical method which can model liquid sloshing with air-cushion effects and hydro-elasticity, and to further conduct investigations on the mechanism of liquid sloshing. Smoothed particle hydrodynamics (SPH) is a meshfree, Lagrangian particle method, and is convenient in treating moving interfaces, large deformations and complex flow geometry. It is therefore attractive in modeling liquid sloshing with air-cushion effects and hydro-elasticity. This project aims to solve two key scientific issues including “balance of accuracy and stability” and “fluid-Structure interaction and material interface treatment”, to develop improved two-phase SPH method for modeling liquid sloshing with air-cushion effects and hydro-elasticity. The developed SPH method, together with model experiments, will be used to investigate the mechanism of liquid sloshing and to identify the influences of air-cushion and hydro-elasticity on liquid sloshing, and to provide new technological ideas and guidance to the engineering and scientific demands in ocean engineering and hydrodynamics.