Flying Motion of a Boomerang Simulated Using Moving-Grid Finite-Volume Method
Flying Motion of a Boomerang Simulated Using Moving-Grid Finite-Volume Method
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使用移动网格有限体积法模拟回旋镖的飞行运动
DOI：
10.11421/jsces.2015.20150016
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发表时间：
2015
影响因子：
--
通讯作者：
松野謙一，山川勝史
中科院分区：
文献类型：
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作者：
井ノ本健;松野謙一，山川勝史
抛出的回旋镖沿着拱形路径飞行，然后回到投掷者手中。飞行运动是一种由陀螺进动引起的复杂运动，是气流与回旋镖运动的耦合现象。在本研究中，通过数值模拟演示了回旋镖的飞行运动，并展示了回旋镖的外形对回旋镖飞行运动的影响。在数值模拟中，采用了流动求解的移动网格有限体积法、求解物体运动的正向欧拉有限差分法和表示物体旋转的四元数表示法相结合的方法来解决空气流动和回旋运动的耦合现象。移动网格有限体积法是在四维控制体的基础上构造的，时空统一，严格保证物理守恒律和几何守恒律。将六自由度运动方程与Navier-Stokes方程耦合求解。并对计算结果进行了实验验证，计算结果与实验结果吻合较好。此外，研究还表明，机翼襟翼角度和入射角对回旋镖的飞行路径有很大影响。
A thrown boomerang flies along an arch path and returns to the thrower. The flying motion is a complex motion caused by the gyroscopic precession which is the coupled phenomenon of air-flow and boomerang-motion. In this study, the flying motion of the boomerang was demonstrated using the numerical simulation and we showed influences of the figure of the boomerang on the flying motion of the boomerang. In the numerical simulation, we combined Moving-Grid Finite-Volume Method for fluid-flow solver, the Forward-Euler Finite-Difference Method for body-motion solver and the Quaternion for representation of body-rotation to solve the coupled phenomenon of air-flow and boomerang-motion. The moving-grid finite-volume method is constructed based on four-dimensional control volume in which space and time are unified and assures strictly both physical conservation laws and geometric conservation laws. The motion equation with six degrees of freedom was solved in a coupled manner together with the Navier-Stokes equations. Furthermore, the experiment was performed to validate the computational results and the computational results showed good agreement with the experimental results. In addition, it was shown that the angle of wing’s flap and the angle of incidence have great effect on the path of the boomerang.