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American Institute of Aeronautics and Astronautics

    Course Outline

    Stability and Transition - Theory, Experiment, and Modeling

    Course Outline:

    I. Review of the roadmap to transition
    A. Receptivity
    B. Attachment line
    C. Transient growth
    D. Stability mechanisms

    II. Current tools
    A. Linear Stability Theory
    B. Parabolized stability equations
    C. Direct numerical simulations

    III. Guidelines for experiments and flight tests
    IV. Verification and Validation
    A. Receptivity
    B. 2D boundary-layer flows
    C. 3D boundary-layer flows

    V. Correlation-based modeling
    A. Algebraic/integral models
    B. Differential models
    C. Applications

    VI. Linear stability theory-based modeling: The k-zeta model
    A. Basic concepts and relation to stability theory
    B. Calculation of non-turbulent eddy viscosities for various transition mechanisms
    C. Implementation in existing turbulence models (two-equation and one- equation models)
    D. Applications of flat plates, airfoils, multi-element airfoils, and swept wings
    E. Applications of straight and flared cones at M = 6 and 8
    F. Applications of elliptic cone at M = 8