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Development and Documentation of kL-Based Linear, Nonlinear, and Full Reynolds Stress Turbulence ModelsThe development and implementation of kL-based Reynolds Average Navier-Stokes (RANS) turbulence models are reported herein. The kL is based on Abdol-Hamid's closure and Menter's modi cation to Rotta's two-equation model. Rotta shows that a reliable transport equation can be formed from the turbulent length scale L, and the turbulent kinetic energy k. Rotta's kL equation is well suited for term-by-term modeling and displays useful features compared to other scale formulation. One of the important di erences is the inclusion of higher order velocity derivatives in the source terms of the scale equation. This can enhance the ability of RANS solvers to simulate unsteady ows in URANS mode. The present report documents the formulation of three model levels of turbulence models as implemented in the CFD code FUN3D. Methodology and calibration examples are shown in detail. The levels are the linear k-kL and the two-equation algebraic Reynolds stress model (ARSM) as well as the full Reynolds Stress Model (RSM). Attached, separated and corner ow cases are documented and compared with experimental, theoretical and other turbulence model data. The results show generally very good comparisons with canonical and experimental data. The results from this formulation are similar or better than results using the SST two- equation turbulence model. ARSM shows great promise with similar level of computational resources as general two equation turbulence models.
Document ID
20180003199
Acquisition Source
Langley Research Center
Document Type
Technical Memorandum (TM)
Authors
Abdol-Hamid, Khaled S.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
May 30, 2018
Publication Date
April 1, 2018
Subject Category
Fluid Mechanics And Thermodynamics
Report/Patent Number
NF1676L-29519
NASA-TM-2018-219820
L-20912
Funding Number(s)
WBS: WBS 109492.02.07.01.01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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