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=== Part A: Analysis === === Part A: Analytical Methods ===

VU Computational Aerodynamics, 322.079

For the description of the course and registration, see TISS.

Course organization

Lecture videos

Lecture notes

  1. Introduction to Computational Aerodynamics

Part A: Analytical Methods

  1. Governing Equations for Compressible Potential Flow

  2. Compressible Potential Flow over a Thin Airfoil: Asymptotic Expansion

  3. Types of Partial Differential Equations

  4. Supersonic Potential Flow over a Thin Airfoil at Zero Lift: D'Alembert Solution

    1. Solution of the Wave Equation - Recapitulation

    2. Visualization of the Supersonic Flow Solution in MATLAB

    3. Visualization of the Supersonic Flow Solution in Python

    4. Computation of Streamlines

  5. Singularity Method for Incompressible Potential Flows

  6. Subsonic Potential Flow over a Thin Airfoil at Zero Lift: Prandtl-Glauert Mapping

    1. Summary

    2. Visualization of the Subsonic Potential Flow

    3. Some Useful Analytical Integrals

    4. Correction for Compressibility Effects

  7. Thin Airfoil Theory: Circulation and Lift

    1. Kutta-Joukowski Theorem

    2. Recapitulation of the Thin Airfoil Theory

    3. Example: Flow over an Inclined Plate

  8. Boundary-Layer Theory

    1. Boundary-Layer Equations

    2. Boundary-Layer Effects

    3. Similar Solutions of the Boundary-Layer Equations

    4. Numerical Solution of the Falkner-Skan Equation

    5. Momentum-Integral Equation

Part B: Pre-CFD Numerical Methods

  1. Panel Methods

    1. Overview

    2. Panel Method Using Sources and Vortices

    3. Hess-Smith Method

    4. NACA 4-Digit Airfoil Series

  2. Integral Methods for the Computation of Boundary Layers

    1. Overview

    2. Walz Method for Laminar Boundary Layers

    3. Computation of the Shape Factor for Hartree Profile