跨音速非等熵全位势方法及粘流/无粘流相互作用计算  

Nonisentropic Transonic Potential Method and Viscous/Inviscid Interaction Calculations

作　　者：朱自强 白雪松 马侠 苏继超 陈炳永 

出　　处：《国际航空》1994年第6期13-14,共2页International Aviation

摘　　要：跨音速流动是现代航空军机和民机设计中必须计算的一种流动。目前采用求解N-S方程的方法尚不能提供很经济而又非常精确的解,也就不能成为工程设计使用的常规手段。在实际飞行中,高雷诺数的事实表明,粘流/无粘流相互作用计算的方法可以成为工程设计计算的有力工具。 欧拉方程是描述无粘流的准确方程,但与全位势方程相比其求解过程要复杂得多,计算费用也高。为取得最优外形工程设计,要作大量的流动模拟计算,故推广全位势方法并提高其准确度是很有意义及具吸引力的。全位势方法假定流动是等熵和无旋的,故只适用于无激波或仅有较弱激波的流场计算。为改进传统全位势方法,应对其作两方面的修正。分析表明,旋度修正比熵修正更为高阶。Analysis calculations of transonic flow are discussed and several improvements are made. Comparison of two correction orders of traditional potential method-the nonisentropic jump conditions and the vorticity generated behind the shock-that the vorticity correction is indeed of high order . An entropy shock point operator is introduced to account for entropy correction . The nonisentropic potential method is used to calculate the inviscid transonic flow analysis problem instead of the traditional potential method . A new velocity profile, which has a simple expression and agrees well with experimental data in a wide range, is proposed . Based on this profile an inverse integral 3D compressible boundary layer method is developed . The viscous/ inviscid interaction calculations are carried out by a semi-inverse coupling scheme . Numerical results agree well with the experimental data and required computer resources are less, so that it has broad prospects in the engineering application .

关 键 词：跨音速流动 粘性流动 

分 类 号：V211.18[航空宇航科学与技术—航空宇航推进理论与工程]