PSE在可压缩边界层转捩问题中的应用  

PSE as Applied to Problems of Transition in Compressible Boundary Layers

作　　者：张永明[1] 周恒[2] 

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津大学力学系

出　　处：《应用数学和力学》2008年第7期757-763,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金重点资助项目(10632050);国家自然科学基金重大研究计划资助项目(90716007);南开大学天津大学刘徽应用数学中心资助项目

摘　　要：提出了用抛物化稳定性方程(PSE)预测层流-湍流转捩的一种新的概念.它被试用于平板可压缩边界层转捩位置的预测问题中,并将结果与直接数值模拟(DNS)所得进行比较.结果二者符合情况令人满意.二者符合的原因在于PSE方法准确地再现了层流-湍流转捩中导致breakdown过程的机理,即平均流剖面的修正导致其稳定性特性的明显改变.A new idea of using the parabolized stability equation （PSE） method to predict the laminartubulent transition is proposed. It was tested in the prediction of the location of transition for compressible boundary layers on flat plates, and the results were compared with those obtained by direct numerical simulations （DNS）. The agreement is satisfactory. The reason for the agreement was found to be that the PSE method does faithfully reproduce the mechanism leading to the breakdown process in laminar-turbulent transition, i.e. the modification of mean flow profile leads to a remarkable change of its stability characteristics.

关 键 词：抛物化稳定性方程 直接数值模拟 转捩 BREAKDOWN 

分 类 号：O357.41[理学—流体力学]