Aerodynamic Investigation of k − kL Turbulence Model

Kumar, Ashutosh and Eswaran, Vinayak (2019) Aerodynamic Investigation of k − kL Turbulence Model. Masters thesis, Indian institute of technology Hyderabad.

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Abstract

The k − kL model is a RANS based two-equation turbulence model which is based on Abdol-Hamid’s closure and Menter’s modification to Rotta’s two-equation model. It solves the transport equations of turbulent kinetic energy (TKE) and the product of TKE and the length scale to obtain the effect of turbulence on the mean flow field. The inclusion of higher-order velocity derivatives in the source terms of the scale equations in this formulation enhances the ability of the RANS solvers to simulate unsteady flows. This Thesis documents the formulation of the model as implemented in our in-house unstructured grid Compressible CFD solver. Methodology, verification and validation examples for external aerodynamic flows are shown. Attached flow, separated flow, stalling, high lift and multi-element cases are documented and compared with experimental data. The results show generally very good comparisons with canonical and experimental data. The numerical evidence shows the ability of the model to handle complex flow physics in external aerodynamic computations. The results from this formulation are at least similar to or better than results obtained using the Spalart Allmaras turbulence model.

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