基于浸入式边界法的振荡转子叶片数值模拟  

An Immersed Boundary Method for Simulating Oscillating Rotor Blades

作　　者：胡国暾 杜林[1] 孙晓峰[1] 

机构地区：[1]北京航空航天大学能源与动力工程学院,北京100191

出　　处：《航空学报》2014年第8期2112-2125,共14页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(51076006)~~

摘　　要：对于流固耦合问题,传统的数值模拟方法由于需要不断的网格重构使得问题变得复杂,本文通过利用浸入式边界法建立了在单一坐标系和网格下求解振荡转子叶片的快速计算模型,从而避免了传统方法中由于需要不断地重构贴体网格造成的数值模拟的复杂性。为了验证该方法的正确性,分别对低KC(Keulegan-Carpenter)数下的振荡圆柱和两自由度振荡圆柱进行了数值模拟,计算结果与以往的试验结果和数值结果吻合得很好,证明了浸入式边界方法的可靠性。在此基础上,对振荡转子叶片进行了数值模拟。结果表明折合速度和叶栅稠度是影响振荡转子叶片的重要因素。并且,值得注意的是这种耦合过程并没有生成贴体网格,因此大大减小了计算时间,这样可以更加快速、准确地模拟真实的叶栅流动情况。The numerical simulation associated with fluid-structure interaction is very complicated for it requires repeated grid regeneration in the traditional method.In the present work,a fast explicit numerical method is established to solve the unsteady flow with oscillation of a rotor blade on the basis of an immersed boundary method.In order to validate the method,two simulation cases are carried out：an oscillating cylinder at low KC （Keulegan-Carpenter） number,and a two degrees of freedom oscillating cylinder,and the results agree well with previous research.Based on these benchmark cases,a numerical simulation for an oscillating airfoil is then established.It is found that the oscillation of rotor blades is influenced greatly by the reduced velocity and cascade solidity.It is worth noting that the coupling process is not necessary for generating any body-fitting grid,which makes it much faster to perform the computational process for such complicated fluid-structure interaction problems.

关 键 词：叶片颤振 浸入式边界法 流固耦合 叶轮机械 气动弹性稳定性 

分 类 号：V215.3[航空宇航科学与技术—航空宇航推进理论与工程]