Probst, Axel and Radespiel, Rolf and Rist, U. (2012) Linear-Stability-Based Transition Modeling for Aerodynamic Flow Simulations with a Near-Wall Reynolds-Stress Modell. AIAA Journal, Vol. 50 (2), pp. 416-428. American Institute of Aeronautics and Astronautics. DOI: 10.2514/1.J051229.
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An extended e^N-based modeling approach for Tollmien–Schlichting-type transition in aerodynamic flow simulations with the low-Re epsilon^h-Reynolds-stress model is presented. Instead of simply activating the turbulence production terms at the transition location (point-transition approach), the method incorporates the otherwise neglected Reynolds-stress contributions by the fluctuations of the Tollmien–Schlichting waves and provides them as local input for the turbulence model at the transition point. The shapes of the Reynolds-stress profiles are derived from linear stability analysis within the e^N method, whereas their absolute magnitudes are calibrated with the aid of direct numerical simulation data of a transitional boundary layer with adverse-pressure gradient. The dissipationrate input is adjusted to theoretically match the amplification rate of the fluctuations but requires a correction to account for the low-Re damping in the epsilon^h-Reynolds-stress model. The paper describes the general modeling ideas and the implementation in the flow solver. Aspects of the numerical discretization and a verification for threedimensional flows are addressed as well. Besides a basic validation for the adverse-pressure-gradient boundary layer, simulations of the SD7003 airfoil flow comprising a laminar separation bubble are presented, which yield very good agreement with measurements. Results of a transitional flat-plate flow are, however, impaired by the lack of intermittency modeling. Finally, the method is applied to a flowthrough nacelle near stall conditions in order to prove its ability to compute consistent transitional behavior in complex three-dimensional flows.
|Title:||Linear-Stability-Based Transition Modeling for Aerodynamic Flow Simulations with a Near-Wall Reynolds-Stress Modell|
|Journal or Publication Title:||AIAA Journal|
|In Open Access:||No|
|In ISI Web of Science:||Yes|
|Page Range:||pp. 416-428|
|Publisher:||American Institute of Aeronautics and Astronautics|
|Keywords:||Transition, Reynolds-stress model, Linear-stability theory, SD7003, flow-through nacelle|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Aeronautics|
|HGF - Program Themes:||Aircraft Research|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L AR - Aircraft Research|
|DLR - Research theme (Project):||L - Simulation & Validation|
|Institutes and Institutions:||Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering|
|Deposited By:||Ilka Micknaus|
|Deposited On:||04 May 2012 10:36|
|Last Modified:||26 Mar 2013 13:38|
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