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American Institute of Aeronautics and Astronautics

    Course Outline

    Advanced Computational Fluid Dynamics


    Course Outline:

    I. Grid-Generation-Structured Grids
    A. Algebraic grid generation techniques Metrics and the Jacobian of transformation Partial differential equations techniques Elliptic, parabolic, and hyperbolic grid generators
    B. Coordinate system control
    II.Transformation of the Equations of Fluid Motion from Physical Space to Computational Space
    A. Generalized coordinate transformation
    B. Navier-Stokes equations
    C. Euler equations
    D. Parabolized Navier-Stokes equations
    E. Inviscid and viscous Jacobians
    III.Euler Equations
    A. Numerical schemes
    B. Flux vector splitting
    C. Implicit formulations
    D. Explicit formulations
    E. Initial and boundary conditions
    F. Applications
    G. Block-tridiagonal system of equations
    H. Characteristics variables
    IV.Parabolized Navier-Stokes Equations
    A. Streamwise pressure gradient
    B. Numerical algorithm
    C. Shock fitting procedure
    V. Navier-Stokes Equations
    A. Navier-Stokes equations for compressible flows
    B. Numerical algorithms
    C. Initial and boundary conditions
    D. Extension to three dimensions
    VI.Grid-Generation-Unstructured Grids
    A. Domain triangulation
    B. The advancing front method
    C. Delaunay method
    VII.Finite Volume Schemes
    A. Cell centered schemes
    B. Nodal point schemes
    C. Flux vector-splitting scheme