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HYDROELASTIC ANALYSIS OF A SUBMERGED HORIZONTAL PLATE USING A COUPLED SPH-FEM MODEL

机译:应用SPH-FEM耦合模型对水下水平板进行水弹塑性分析

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A coupled SPH-FEM model is established to study the hydroelastic interactions between waves and submerged horizontal plates. The fluid motion is governed by the continuity equation and Navier-Stokes (NS) equations, which are solved based on the smoothed particle hydrodynamics (SPH). The solid boundary condition is implemented with the dynamic boundary particles (DBPs), and the multi-layer DBPs technique is used to describe the thin plate. As for the structural deformation, it is governed by the structural dynamic equation and solved using the finite element method (FEM). Four-node square elements are used for mesh generation and the Newmark scheme is employed for time integration. To couple these two models, a novel attachment algorithm for the fluid-solid interface is proposed, and the Dirichlet-Neumann boundary condition is enforced in the weak coupling regime. The accuracy and robustness of the coupling model are checked through a numerical test of a hydrostatic water column on an elastic plate. Then the model is used to compare the hydroelastic performances of submerged horizontal plates with different rigidities. An equivalent conversion method is introduced to avoid using different spatial resolutions and excessive computational resources in the comparison. On this base, some valuable conclusions that have not been previously reported are drawn.
机译:建立了耦合SPH-FEM模型,以研究波浪与淹没水平板之间的水弹性相互作用。流体运动由连续性方程和Navier-Stokes(NS)方程控制,这是基于平滑粒子流体动力学(SPH)求解的。使用动态边界粒子(DBP)来实现固体边界条件,并使用多层DBP技术来描述薄板。对于结构变形,它由结构动力学方程控制,并使用有限元方法(FEM)求解。四节点正方形元素用于网格生成,Newmark方案用于时间积分。为了对这两个模型进行耦合,提出了一种新颖的流固界面附着算法,并在弱耦合条件下强化了Dirichlet-Neumann边界条件。耦合模型的准确性和鲁棒性通过在弹性板上的静水柱的数值测试来检验。然后,该模型用于比较具有不同刚度的浸没水平板的水弹性性能。为了避免在比较中使用不同的空间分辨率和过多的计算资源,引入了等效的转换方法。在此基础上,得出了一些以前未曾报道过的有价值的结论。

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