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Improvements in MLPG formulation for 3D wave interaction with fixed structures
Computers & Fluids ( IF 2.8 ) Pub Date : 2020-12-29 , DOI: 10.1016/j.compfluid.2020.104826
Shagun Agarwal , V. Sriram , Shiqiang Yan , K. Murali

This paper presents new developments in meshless local Petrov–Galerkin with Rankine source (MLPG_R) particle based method for studying interaction of waves with fixed structures in a numerical wave-tank. A new 3D formulation of the Lagrangian flow problem for incompressible fluid with optimised solution strategy is presented. The pressure Poisson equation is solved in local weak-form with integration done semi-analytically using a new symmetric expression. The wave-generation is done using one-way coupling with a 2D fully-nonlinear potential theory based finite-element model. Further a simple identification method for free-surface particles is proposed, which is shown to work well in vicinity of the structure. The solid-wall boundary condition is treated using ghost and mirror particles for accurate calculation of gradients. The waterline on domain boundary faces is treated using a tangentially moving side-wall approach which makes this particle based scheme capable of capturing small amplitude waves and focusing waves. The paper briefly presents experimental setup used for studying the interaction of a fixed emergent cylinder with uni-directional regular and focusing waves in 3D. The numerical model is validated against results from this experiment. An analysis is conducted on parameters related to local integration domain, wave-making coupling algorithm, particle distribution and time-step. This work highlights the use of hybrid approach for efficient and accurate simulation of waves-structure interaction.



中文翻译:

用于固定结构的3D波相互作用的MLPG公式的改进

本文介绍了基于兰金源(MLPG_R)粒子的无网格局部Petrov-Galerkin方法的新进展,该方法用于研究数值波罐中波与固定结构的相互作用。提出了具有优化求解策略的不可压缩流体拉格朗日流量问题的新3D公式。压力泊松方程以局部弱形式求解,并使用新的对称表达式半解析积分。波产生是通过单向耦合与基于2D完全非线性势能理论的有限元模型完成的。进一步提出了一种用于自由表面颗粒的简单识别方法,该方法显示在结构附近可以很好地工作。固壁边界条件使用重影和镜面粒子处理,以精确计算梯度。使用切向移动侧壁方法处理域边界面上的水线,这使这种基于粒子的方案能够捕获小振幅波和聚焦波。本文简要介绍了用于研究固定紧急圆柱体与3D单向规则波和聚焦波之间相互作用的实验装置。针对该实验结果验证了数值模型。对与局部积分域,造波耦合算法,粒子分布和时间步长有关的参数进行了分析。这项工作强调了使用混合方法对波结构相互作用进行有效而准确的仿真。

更新日期:2021-01-07
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