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Computational Sports Aerodynamics of a Moving Sphere: Simulating a Ping Pong Ball in Free Flight

机译:运动球体的计算运动空气动力学:模拟自由飞行中的乒乓球

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Fluid dynamics associated with many sports involving spheric shaped equipments such as tennis, golf and ping pong balls tends to be very unsteady and viscous, with occasionally transitional behaviors. Some of the intricate aerodynamic behaviors are the mechanisms that make these sports competitive and spectacular. In this paper we discuss using high-order method as an effective method for solving unsteady fluid dynamics pertaining to sports. In particular, we perform direct numerical simulation of unsteady viscous flow past a spinning sphere. Taking a different approach from the usual computational practice of performing simulations of fixed free-stream and fixed Reynolds number flows, we compute the flow field around the spheric body together with the dynamic motion of the body. By coupling the sphere dynamic to the aerodynamic flow, we are able to simulate the flight trajectory of the sphere in free flight and examine the effect of introducing different varieties of spin on game play. The flow solver is based on the high-order Spectral Difference method. Coupling of fluid and structure is enforce weakly by advancing the equation of motion and flow equations in time together using the explicit multi-stage Runge-Kutta scheme. We rely on the inherent numerical dissipation in the high order method to resolve transitional flow, which effectively acts as a kind of implicit Large Eddy Simulation (ILES).
机译:与许多运动相关的流体动力学涉及诸如网球,高尔夫球和乒乓球之类的球形设备,它们往往非常不稳定和粘稠,偶尔会有过渡行为。一些复杂的空气动力学行为是使这些运动更具竞争力和壮观性的机制。在本文中,我们讨论使用高阶方法作为解决与运动有关的不稳定流体动力学的有效方法。特别是,我们对通过旋转球体的非稳定粘性流进行直接数值模拟。采用与执行固定自由流和固定雷诺数流模拟的通常计算方法不同的方法,我们计算球体周围的流场以及物体的动态运动。通过将球体动力学与空气动力学流耦合,我们能够模拟球体在自由飞行中的飞行轨迹,并研究在游戏过程中引入不同类型的旋转的效果。流量求解器基于高阶谱差法。通过使用显式多级Runge-Kutta方案在时间上同时推进运动方程和流动方程,可以使流体和结构的耦合弱化。我们依靠高阶方法中固有的数值耗散来解决过渡流,这有效地充当了一种隐式的大涡模拟(ILES)。

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