Benchmark for scale-resolving simulation with curved walls: the Taylor Couette flow

作     者：Z.J.Wang E.Jourdan 

作者机构：Department of Aerospace EngineeringUniversity of KansasLawrenceKS 66045USA 

出 版 物：《Advances in Aerodynamics》 (空气动力学进展（英文）)

年 卷 期：2021年第3卷第1期

页      面：281-298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] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Air Force Office of Scientific Research under Award Number FA9550-20-1-0315 Army Research Office under Award Number W911NF-20-1-0065 

主　　题：Large eddy simulation Direct numerical simulation High-order methods Navier-Stokes Taylor Couette flow 

摘      要：Flow between rotating concentric cylinders,or the Taylor Couette flow,has been studied extensively because of its rich physics,ranging from axisymmetric steady laminar flow,to fully developed turbulent *** the present study,we advocate the use of this problem as a benchmark case for scale-resolving simulation,such as large eddy simulation(LES)and direct numerical simulation(DNS).The problem is attractive because of its simple geometry,simple boundary conditions,and complex physics involving wall-shear induced and centrifugal *** the wellknown fully developed channel flow,this problem has a curved wall boundary,and it is unnecessary to add a source term to the governing equations to sustain the fully developed turbulent flow.A p-refinement study for Re=4000 is performed first to establish DNS data,including the time history of enstrophy,which can be used as an accuracy and resolution indicator to evaluate numerical methods,and is orders of magnitude faster than using the mean flow quantities and Reynolds stresses to evaluate solution ***,an hp-refinement study is performed to establish the relative accuracy and efficiency of high-order schemes of various accuracy.