Validation of a RANS transition model using a high-order weighted compact nonlinear scheme

作     者：TU GuoHua DENG XiaoGang MAO MeiLiang 

作者机构：State Key Laboratory of Aerodynamics China Aerodynamics Research & Development Center Science and Technology on Scramjet Laboratory Hypervelocity Aerodynamics Institute of CARDC National University of Defense Technology Computational Aerodynamics Institute China Aerodynamics Research & Development Center 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2013年第56卷第4期

页      面：805-811页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Basic Research Program of China (Grant No. 2009CB723800) the National Natural Science Foundation of China (Grand No. 11072259) 

主　　题：hypersonic boundary layer transition transition model intermittency factor high-order schemes 

摘      要：A modified transition model is given based on the shear stress transport (SST) turbulence model and an intermittency transport equation. The energy gradient term in the original model is replaced by flow strain rate to saving computational costs. The model employs local variables only, and then it can be conveniently implemented in modern computational fluid dynamics codes. The fifth-order weighted compact nonlinear scheme and the fourth-order staggered scheme are applied to discrete the governing equations for the purpose of minimizing discretization errors, so as to mitigate the confusion between numerical errors and transition model errors. The high-order package is compared with a second-order TVD method on simulating the transitional flow of a flat plate. Numerical results indicate that the high-order package give better grid convergence property than that of the second-order method. Validation of the transition model is performed for transitional flows ranging from low speed to hypersonic speed.