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Entropy 2017, 19(3), 93; doi:10.3390/e19030093

An Entropy-Assisted Shielding Function in DDES Formulation for the SST Turbulence Model

1
School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan 430074, China
2
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
*
Author to whom correspondence should be addressed.
Academic Editor: Yan Jin
Received: 12 November 2016 / Revised: 7 February 2017 / Accepted: 23 February 2017 / Published: 27 February 2017
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics)
View Full-Text   |   Download PDF [5212 KB, uploaded 28 February 2017]   |  

Abstract

The intent of shielding functions in delayed detached-eddy simulation methods (DDES) is to preserve the wall boundary layers as Reynolds-averaged Navier–Strokes (RANS) mode, avoiding possible modeled stress depletion (MSD) or even unphysical separation due to grid refinement. An entropy function fs is introduced to construct a DDES formulation for the k-ω shear stress transport (SST) model, whose performance is extensively examined on a range of attached and separated flows (flat-plate flow, circular cylinder flow, and supersonic cavity-ramp flow). Two more forms of shielding functions are also included for comparison: one that uses the blending function F2 of SST, the other which adopts the recalibrated shielding function fd_cor of the DDES version based on the Spalart-Allmaras (SA) model. In general, all of the shielding functions do not impair the vortex in fully separated flows. However, for flows including attached boundary layer, both F2 and the recalibrated fd_cor are found to be too conservative to resolve the unsteady flow content. On the other side, fs is proposed on the theory of energy dissipation and independent on from any particular turbulence model, showing the generic priority by properly balancing the need of reserving the RANS modeled regions for wall boundary layers and generating the unsteady turbulent structures in detached areas. View Full-Text
Keywords: entropy; shielding function; delayed detached-eddy simulation entropy; shielding function; delayed detached-eddy simulation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhou, L.; Zhao, R.; Shi, X.-P. An Entropy-Assisted Shielding Function in DDES Formulation for the SST Turbulence Model. Entropy 2017, 19, 93.

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