基于高阶边界元的三维数值波浪港池

A 3D numerical wave tank based on higher-order BEM

初步建立了一个基于高阶边界元的三维数值波浪港池,港池具有造波和消波功能。采用高阶边界元16节点四边形单元和基于二阶显式泰勒展开的混合欧拉-拉格朗日时间步进求解带自由表面的完全非线性势流方程。模型中对于影响数值精度的问题作了细致的处理。数值计算结果表明本港池可以用来模拟非线性波浪的传播,具有很高的数值精度和稳定性。

A three dimensional numerical wave tank (NWT) based on a higher order boundary element method (BEM) is developed. Nonlinear periodic waves can be generated at one end of NWT, and reflective or absorbing boundary conditions are specified on the other end and lateral boundaries. The model solves fully nonlinear potential flow equations with a free surface using a HOBEM, in which boundary geometry and field variables are represented by 16-node cublic quadrilateral elements developed by Grilli, et al.(2001) and a mixed Eulerian-Lagrangian time updated with the second-order explicit Taylor series expansions in used. The computational results show that the NWT can be used to simulate nonlinear water wave propagation efficiently with good numerical accuracy and convergence with a refined spatial-temporal discretization.