Affiliation:
1. National University of Defense Technology, 410073 Changsha, People’s Republic of China
Abstract
Attempts to extend a Reynolds-stress model (RSM) for transition flow simulations have begun to cause concern in recent years based on the fact that the RSM has more potential than an eddy viscosity model when applied to complex three-dimensional flowfields. In terms of the RSM, however, coupling more transport equations will further increase its complexity (may worsen robustness and convergence rate). In this paper, a [Formula: see text]-based algebraic transition model originating from the SA-BC model is coupled with an [Formula: see text]-scale RSM (EV-RSM) to form a new transition/turbulence model, called tEV-RSM. Some numerical tests are conducted with a fifth-order scheme, WCNS, including the well-known T3 flat plate series, a two-dimensional airfoil (S809), a two-dimensional three-element airfoil (30P-30N), a three-dimensional prolate-spheroid, and a three-dimensional circular cylinder. The proposed model is compared with the SA-BC and [Formula: see text] SST models, which indicates that it can predict the flows primarily governed by Tollmien–Schlichting transition or bypass transition well and has an advantage in predicting the flows with detached separation. Meanwhile, the iteration convergence rate of the tEV-RSM is fast enough considering it as a seven-equation model.
Funder
National Key Project for Research on Transgenic Biology
National Natural Science Foundation of China
Young Elite Scientists Sponsorship Program by CAST
Publisher
American Institute of Aeronautics and Astronautics (AIAA)
Reference56 articles.
1. SlotnickJ.KhodadoustA.AlonsoJ.DarmofalD.GroppW.LurieE.MavriplisD. “CFD Vision 2030 Study: A Path to Revolutionary Computational Aerosciences,” NASA CR-2014-218178, 2014.
2. A one-equation turbulence model for aerodynamic flows
3. WilcoxD. C., Turbulence Modeling for CFD, 3rd ed. DCW Industries, La Canãda, Flintridge, CA, 2006, pp. 124–128.
4. Two-equation eddy-viscosity turbulence models for engineering applications
5. Predictions of Channel and Boundary-Layer Flows with a Low-Reynolds-Number Turbulence Model