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首页> 外文期刊>Computers & Fluids >Direct simulation of freely rotating cylinders in viscous flows by high-order finite element methods
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Direct simulation of freely rotating cylinders in viscous flows by high-order finite element methods

机译：用高阶有限元方法直接模拟黏性流体自由旋转的圆柱体

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摘要

Flow past a freely rotating cylinder with a fixed axis of rotation, placed asymmetrically in a two-dimensional channel (closer to one of the walls) has been studied numerically. This flow was modeled by the Navier-Stokes equations coupled with the equation of angular momentum of the cylinder. A simple explicit algorithm to simulate the cylinder-fluid interaction was used, and a semi-implicit scheme in combination with a high-order Lagrange finite element method was employed to solve the Navier-Stokes equations. All quantities of interest (such as lift and drag on the cylinder) were computed without taking advantage of the cylindrical geometry of the problem, making the algorithm suitable to study more general geometries. It was found that the cylinder in a channel may rotate in either the clockwise direction or in the opposite direction, depending on the Reynolds number and on the distance from the wall. These solutions could be steady or unsteady, but no unsteady solutions were found when the cylinder rotates in the counterclockwise direction. Also, it was found that the cylinder may experience a repulsive or attractive force to the wall. A detailed comparison of the solutions when the cylinder is fixed and when it is released to rotate freely was done in order to understand the mechanisms that cause the cylinder to rotate in one direction or the other, as well as how it is attracted to or repelled from the wall. These simulations may provide improved insight into the physics of the operation of micro-electromechanical systems pumps and turbines in their application to flow control.
机译：数值研究了流过自由旋转的，具有固定旋转轴的圆柱体的流动，该圆柱体不对称地放置在二维通道（靠近壁中的一个）中。通过Navier-Stokes方程和圆柱角动量方程对流进行建模。使用了一种简单的显式算法来模拟圆柱体-流体的相互作用，并采用半隐式方案结合高阶Lagrange有限元方法来求解Navier-Stokes方程。在不利用问题的圆柱几何体的情况下，计算了所有感兴趣的量（例如圆柱体上的升力和阻力），从而使该算法适合于研究更通用的几何体。已经发现，通道中的圆柱体可以根据雷诺数和距壁的距离沿顺时针方向或相反方向旋转。这些解决方案可以是稳定的，也可以是不稳定的，但是当圆柱体沿逆时针方向旋转时，没有发现不稳定的解决方案。另外，还发现圆柱体可能会遇到对壁的排斥力或吸引力。为了了解导致圆柱体沿一个方向或另一个方向旋转的机制，以及如何吸引或排斥圆柱体，对固定圆柱体和释放圆柱体以使其自由旋转时的解决方案进行了详细的比较。从墙上。这些模拟可以提供对微机电系统泵和涡轮机在流量控制中应用的物理学的深入了解。

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