Development of a CFD-Compatible Transition Model Based on Linear Stability Theory
Open Access
- Author:
- Coder, James George
- Graduate Program:
- Aerospace Engineering
- Degree:
- Doctor of Philosophy
- Document Type:
- Dissertation
- Date of Defense:
- May 28, 2014
- Committee Members:
- Mark David Maughmer, Dissertation Advisor/Co-Advisor
Mark David Maughmer, Committee Chair/Co-Chair
Sven Schmitz, Committee Member
Philip John Morris, Committee Member
Kenneth Steven Brentner, Committee Member
Jonathan S Pitt, Committee Member - Keywords:
- Aerodynamics
computational fluid dynamics
CFD
transition
turbulence - Abstract:
- A new laminar-turbulent transition model for low-turbulence external aerodynamic applications is presented that incorporates linear stability theory in a manner compatible with modern computational fluid dynamics solvers. The model uses a new transport equation that describes the growth of the maximum Tollmien-Schlichting instability amplitude in the presence of a boundary layer. To avoid the need for integration paths and non-local operations, a locally defined non-dimensional pressure-gradient parameter is used that serves as an estimator of the integral boundary-layer properties. The model has been implemented into the OVERFLOW 2.2f solver and interacts with the Spalart-Allmaras and Menter SST eddy-viscosity turbulence models. Comparisons of predictions using the new transition model with high-quality wind-tunnel measurements of airfoil section characteristics validate the predictive qualities of the model. Predictions for three-dimensional aircraft and wing geometries show the correct qualitative behavior even though limited experimental data are available. These cases also demonstrate that the model is well-behaved about general aeronautical configurations. These cases confirm that the new transition model is an improvement over the current state of the art in computational fluid dynamics transition modeling by providing more accurate solutions at approximately half the added computational expense.