Abstract In this paper, we present a numerical simulation of a round impacting jet using coupled Smoothed Particle Hydrodynamics (SPH) and Finite Element (FE) methods. Numerical results are compared with the results of another simulation carried out by the CEL (Coupled Eulerian-Lagrangian) method. A water jet with a spherical head was used at an initial speed of 570 m/s to impact a flat plate made of Polymethyl-Methacrylate (PMMA). To model the entire process, the SPH method was used to model the water jet and the FE method for the PMMA structure. The distribution of the pressure on the impact surface and the resulting deformation of the structure were discussed. A Numerical model was developed using ABAQUS/Explicit version 6.14. Results of the coupled SPH-FE simulation were further validated. It is demonstrated that the CEL method presents smoother curves compared to the SPH method. These comparisons serve not only to validate the numerical simulation but also to give guidance in formulating the SPH-FEM numerical model.

中文翻译：

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通过 CEL 模型和实验研究验证高速水射流与 PMMA 目标之间相互作用的 SPH-FE 数值模拟

摘要 在本文中，我们使用耦合平滑粒子流体动力学 (SPH) 和有限元 (FE) 方法对圆形撞击射流进行了数值模拟。将数值结果与通过 CEL（耦合欧拉-拉格朗日）方法进行的另一个模拟的结果进行比较。使用具有球形头的水射流以 570 m/s 的初始速度撞击由聚甲基丙烯酸甲酯 (PMMA) 制成的平板。为了模拟整个过程，使用 SPH 方法模拟水射流，并使用 FE 方法模拟 PMMA 结构。讨论了冲击表面上的压力分布和由此产生的结构变形。数值模型是使用 ABAQUS/Explicit 6.14 版开发的。耦合 SPH-FE 模拟的结果得到进一步验证。结果表明，与 SPH 方法相比，CEL 方法呈现更平滑的曲线。这些比较不仅用于验证数值模拟，而且还为制定 SPH-FEM 数值模型提供指导。