COURSE OUTLINE-Spring 2000

MATH/PHYS 365-Computational Fluid Dynamics

Part I: Methods for Incompressible Flow (Pruett) [11-12 weeks]

  1. CFD Overview [2 periods]
  2. Steady Flow [6 periods]
    1. Nondimensionalization
    2. Boundary-layer theory
    3. Blasius' solution (PA1)
  3. Unsteady Flow [10 periods]
    1. Mathematical preliminaries
    2. Spatial discretization
    3. Temporal discretization
    4. Numerical stability and CFL condition
    5. Poisson's equation
    6. Boundary conditions
    7. Prototypical flows (PA2)
  4. Flow Visualization [3 periods]
    1. Streamfunction & Vorticity
    2. Pathlines & Streaklines
    3. Prototypical Flows (PA3)
  5. Free-Boundary Flows [4 periods]
    1. Boundary tracking
    2. Prototypical Flows (PA4)
  6. Algorithm Enhancements (time permitting) [5 periods]
    1. Kim & Moin method
    2. Parallelization (PA5)


Part II: Methods for Compressible Flow (Sochacki) [4-5 Weeks]

  1. One-dimensional flow
    1. Linear waves
    2. Nonlinear waves
    3. Numerical methods
  2. Euler equations
    1. Conservation
    2. Rarefaction waves
    3. Shock waves
    4. Numerical methods
  3. Navier-Stokes equations
    1. Physical considerations
    2. Mathematical considerations
    3. Numerical methods