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Nonlocal numerical simulation of low Reynolds number laminar fluid motion by using peridynamic differential operator

机译:使用白动力学差分算子使用逆雷诺数次数流体运动的非识别数值模拟

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摘要

A considerable fluid load can cause local damages on the offshore structures, which may be a risk in the field of ocean engineering. Therefore, an accurate fluid motion prediction is a crucial issue in predicting the offshore structure motion. In this study, a non-local Lagrangian model is developed for Newtonian fluid low Reynolds number laminar flow. Based on the peridynamic theory, a peridynamic differential operator is recently proposed for directly converting the partial differential into its integral form. Therefore, the peridynamic differential operator is applied to convert the classical Navier-Stokes equations into their integral forms. The numerical algorithms are developed both in total and updated Lagrangian description. Finally, several benchmark fluid flow problems such as Couette flow, Poiseuille flow, Taylor Green vortex, shear-driven cavity problem and dam collapse problems are numerically solved. The simulation results are compared with the ones available in the published literature. The good agreements validate of the capability of the proposed non-local model for Newtonian fluid low Reynold's number laminar flow simulation.
机译:相当大的流体负荷可能导致海上结构造成局部损害,这可能是海洋工程领域的风险。因此,精确的流体运动预测是预测海上结构运动的重要问题。在这项研究中,为牛顿流体低雷诺数层流开发了非本地拉格朗日模型。基于白动力学理论,最近提出了一种王动力学差动算子,用于直接将部分差异转化为整体形式。因此,应用逐方差动算子以将古典的Navier-Stokes方程转换为它们的整体形式。数值算法总共开发,并更新的拉格朗日描述。最后,几种基准流体流动问题,如Coute Flow,Poiseuille Flow,Taylor Green Vortex,剪切驱动的腔问题和坝塌陷问题是数值求解的。将模拟结果与发表文献中可用的结果进行比较。良好的协议验证了纽托利液低雷诺数层流模拟的建议非本地模型的能力。

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