Large Eddy Simulation of Flow Transition in a Compressible Flat-Plate Boundary Layer at Mach 4.5
作者:
H. SHAN,
L. JIANG,
C. LIU,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 1999)
卷期:
Volume 13,
issue 1
页码: 25-41
ISSN:1061-8562
年代: 1999
DOI:10.1080/10618569908940888
出版商: Taylor & Francis Group
关键词: Large eddy simulation;littered structure function model;flat-plate boundary layer flow;flow transition;compressible flow;Navier-Stokes equations;compact finite difference scheme
数据来源: Taylor
摘要:
Large eddy simulation (LES) has been carried out to investigate the oblique transition process of a flat-plate boundary layer at a free-stream Mach number of M∞= 4.5 and a Reynolds number of 10,000 based on the free-stream velocity and inflow displacement thickness. The numerical simulation is performed using a spatial approach to solve a full compressible Navier-Stokes system in the curvilinear coordinates. A compact sixth-order central difference scheme (Lele, 1992) is applied to the wall-normal direction and streamwise direction, the pseudo-spectral method is used in the spanwise direction. A compact storage third order Runge-Kutta scheme (Wray, 1986) is adopted for lime-integration. The sub-grid scales are formulated according to the filtered structure function model (Ducroset al., 1996). A pair of oblique first-mode perturbation is imposed on the inflow boundary. Several stages of transition process can be identified, i.e., the linear and weak nonlinear growth of disturbance, the appearance of staggered A-vortex pattern, the evolution of A-vortex into hairpin vortex, and the break-down of hairpin vortical structures. The organized motions during the transition are discussed in detail. The vortical and the shear layer structures are compared with the results obtained by Adams and Kleiser (1996) in their direct numerical simulation based on a temporal approach. The evolution of the averaged quantities, such as the boundary layer thickness are studied. The skin friction coefficient and the turbulent mean velocity profile obtained from the simulation agree well with the flat-plate theory of Van Driest (1956).
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