高超声速粗糙元诱导转捩的数值模拟及机理分析
NUMERICAL SIMULATION AND MECHANISM ANALYSIS OF HYPERSONIC ROUGHNESS INDUCED TRANSITION
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摘要: 采用直接数值模拟方法细致刻画了钻石型粗糙元诱导的高超声速边界层从层流到湍流的转捩过程,从拓扑结构稳定性和边界层流动稳定性两个角度分析了钻石型粗糙元诱导转捩的机理. 流动结构的拓扑分析表明,钻石型粗糙元头部区域和底部区域分别存在不稳定的鞍点-鞍点(SS) 型轨线和鞍点-结点-鞍点(SNS) 型轨线,在扰动的作用下其会形成非定常、非对称的振荡结构. 边界层流动失稳过程计算分析表明,钻石型粗糙元会产生高波数扰动,并发现在扰动发展过程中大尺度结构会破碎. 两种不同类型的流动失稳效应同时存在. 此外,通过不同类型粗糙元(圆柱、斜坡及钻石型) 的对比,揭示了不同类型粗糙元诱导转捩机理的差异,为高超声速人工转捩装置设计提供了基础理论支撑.Abstract: Physical mechanisms of hypersonic boundary layer transition induced by diamond roughness element are investigated by means of direct numerical simulation (DNS) from the aspects of topological structure stability and hydrodynamic stability. Topological structure stability theory reveals the existence of unstable connection orbit between saddle-saddle points in front of the roughness element and unstable connection orbit between saddle-node-saddle points behind it. Consequently, unsteady and asymmetric structures are formed owing to the influence of disturbance. The hydrodynamic stability analysis shows that high-frequency disturbing waves are invoked by the diamond roughness element and large-scale vortices tend to break up along the development of disturbance. The effects of both instabilities coexist in the flow field. In addition, comparisons are made between different roughness types (cylindrical, ramp, diamond), analyzed transition mechanism of different roughness types, support design of hypersonic forced-transition device in the theory.