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Relative Rotation On Cartesian Grids

机译:笛卡尔网格上的相对旋转

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摘要

Many important flow analyses such as helicopter rotors, turbomachinery and coaxial propellers involve surfaces in relative rotational motion. While some instances can be addressed using a single rotating domain, the current focus is on situations where such a representation is inadequate and a sliding interface must be introduced to properly separate domains in relative motion. The approach is configured for a Cartesian grid framework where procedures to generate a grid about a triangulated surface and perform various clipping operations upon triangular elements are already available. This paper details the technical approach, in particular methods for evaluation of overlap areas at the sliding interface, enforcement of flux conservation, and development of flux correction terms, and also provides methods applicable at interfaces that terminate on a solid surface. Also described here are supporting operations tasked with arranging and enumerating the sliding interface elements, generating the mesh about the bounding surfaces (including sliding interface triangulations), applying the geometric transforms to impart rotational motion, and augmenting the governing equations to account for mesh motion and resolution of the velocities into convenient reference frames. The paper also provides motivation for this work, w ith emphasis on work on counter rotating open rotors (CRORs). The details of the sliding interface approach for this application are described and demonstration calculations on a representative CROR system are presented, including comparison with experiment. Finally, methods for extension to unstructured grids other relative motion scenarios will be outlined.
机译:许多重要的流量分析,例如直升机旋翼,涡轮机械和同轴螺旋桨,都涉及相对旋转运动的表面。虽然可以使用单个旋转域来解决某些情况,但当前的焦点是这样的表示不充分的情况,必须引入滑动界面以在相对运动中正确地分隔各个域。该方法针对笛卡尔网格框架进行配置,在该框架中,已经可以使用生成围绕三角表面的网格并对三角形元素执行各种修剪操作的过程。本文详细介绍了技术方法,尤其是用于评估滑动界面处的重叠区域,强制执行通量守恒和开发通量校正项的方法,并且还提供了适用于终止于固体表面上的界面的方法。本文还介绍了支持操作,这些任务的任务是安排和枚举滑动界面元素,围绕边界表面生成网格(包括滑动界面三角剖分),应用几何变换以赋予旋转运动以及扩大控制方程式以解决网格运动和将速度解析为方便的参考系。本文还为这项工作提供了动力,重点是反向旋转开放转子(CROR)的工作。描述了此应用程序的滑动界面方法的详细信息,并给出了在具有代表性的CROR系统上的演示计算,包括与实验的比较。最后,将概述扩展到非结构化网格的其他相对运动方案的方法。

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