Abstract A meshless CFD method is proposed for numerical simulation of incompressible flows and estimation of hydrodynamic loads during green water events. In this paper, governing equations are described in Finite Differences context, where spatial operators are derived using Weighted-Least Squares. Volume-conservative Lagrangian advection is handled by solving a set of geometrical constraints, while adjusting to moving boundaries represented by triangulated meshes. The validation of the method is performed by simulating four green-water experiments on fixed and moving structures, and comparing the kinematics of flow and hydrodynamic loads during impacts. It is shown that the method accurately reproduces patterns of waves that are wetting the deck, as well as the pressure distribution along the deck. The resulting method intrinsically handles violent fluid–structure interaction with free surface fragmentation, while providing second-order accurate pressure field.

中文翻译：

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预测绿水负荷的拉格朗日有限差分法

摘要 提出了一种无网格CFD方法，用于不可压缩流动的数值模拟和绿水事件期间水动力载荷的估计。在本文中，在有限差分上下文中描述了控制方程，其中使用加权最小二乘法导出空间算子。体积守恒拉格朗日平流是通过求解一组几何约束来处理的，同时调整到由三角网格表示的移动边界。该方法的验证是通过模拟固定和移动结构上的四个绿水实验，并比较冲击过程中流动和水动力载荷的运动学来进行的。结果表明，该方法准确地再现了湿润甲板的波浪模式，以及沿甲板的压力分布。