高雷诺数下带自由表面的重力波的有限元数值模型

本文基于扩展的虚拟浓度和Sommerfeld线性辐射边界条件建立了数值波浪水槽。用有限元方法结合大涡模拟（LES）湍流模型在Euler坐标系统中求解了二维不可压粘性流体的N－S方程，而自由表面函数方程是在沿流体质点迹线定义的Lagrange系统中求解的。为了检验该数值波浪模型的有效性，本文中用该数值波浪水槽进行了海底管线在波浪场中受力的数值实验，并与物模实验的结果做了对比，其雷诺数Re为10700。

A finite element model of gravity waves with free surface at high Reynolds number

A numerical wave tank is established based on the extended pseudo-concentration method and Sommerfeld absorbing boundary conditions. The 2-D Navier-Stokes equations for viscous incompressible flow is solved by the finite element method (FEM) coupled with the large eddy simulation (LES) turbulent model in an Eulerian framework. The free surface function equation is solved in a Lagrangian framework defined along the trajectories of the fluid particles. To validate the present numerical wave model, a numerical simulation of wave action on seabed pipeline is carried out with the numerical wave tank at Re=10700. The calculated wave force is in reasonable agreement with the measured results.