SPH-ALE 方法在数值造波中的应用研究

应用传统的 SPH 方法处理数值造波问题有一定的局限性，波浪在传播过程中由于能量耗散会出现衰减，且粒子压力场存在数值震荡。该文基于 SPH-ALE（Arbitrary Lagrangian-Eulerian）方法，提出了一种适用于黎曼解算法的时间积分方法，详细论述了对自由面粒子的捕捉方法。采用 SPH-ALE 方法分别对规则波传播、强非线性波的破碎、孤立波生成及在斜坡上的破碎进行了数值模拟。模拟结果表明，该方法可以有效地解决波浪衰减及压力场不稳定问题，并且可以有效捕捉波浪破碎的瞬时形态。

Application of SPH-ALE method in numerical wave making problem

The general SPH method applied to numerical wave making problem has some limitations, wave decay due to energy dissipation in the process of wave propagation and strong oscillation of particle’s pressure. Based on the SPH-ALE (Arbitrary Lagrangian-Eulerian), this paper proposed a time integration method for the Riemann algorithm, and discussed the tracking technology of dynamic particle in detail. In order to verify the validation of SPH-ALE, which was applied to several piston wave making problem, reg-ular wave propagates, highly nolinear wave breaking, solitary wave generation and breaking on the slope, re-spectively. The numerical result shows that SPH-ALE is valid to deal with the piston wave making problem, and well done in capturing the instantaneous pattern of wave breaking.