用ALE有限元法建立二维数值波浪水池

Analysis of numerical wave tank by Arbitrary Lagrangian-Eulerian finite element method

从ALE描述下的Navier Stokes方程和连续方程出发 ,对数值波浪水池进行分析 .通过对各种边界条件的处理建立了合适的二维数值波浪水池 .通过对二阶Stokes波的探讨 ,阐明了此数值波浪水池是有效合理的 .

A finite element analysis was presented based on the Arbitrary Lagrangian-Eulerian (ALE) description for numerical wave tank analysis. For the integration in time,the velocity correction method was used. The same order interpolation functions of velocity and pressure can be employed in the velocity correction fractional step method. The fluid domain was divided by quadrilateral elements. The finite element equations were derived by Galerkin method. Two-dimensional numerical wave tank was established after considering all boundary conditions. Two-order Stokes wave was analyzed to confirm the effectiveness and the reasonability of establishing numerical wave tank by the ALE method.