Welcome to the Aero 446 Class Notes

Introduction to Computational Fluid Dynamics (CFD)

• Develop Governing Equations
• Euler's Expansion Formula
• Continuity Equation
• Momentum Equation
• Energy Equation
• Derived Equation Forms
• Expression of Equations as a System
• Full 3D System
• Solving Model Equations
• Hyperbolic Equations
• 1st Order 1D Linear Wave Equation
• 1st Order 1D NonLinear Burgers Equation
• Weak Solution Theory and Application
• Numerical Methods for Nonlinear Wave Propagation Problems
• Introduction to TVx Schemes
• Elliptic/Equilibrium Equations
• Laplace's Equation
• 2D Laplace's Equation on a Cartesian Mesh
• 2D Generalized Structured Geometry
• 2D Generalized Structured Laplace's Equation Solution
• 2D Laplace's Equation on an Unstructured Mesh
• Poisson's Equation
• 2D Poisson's Equation Solution
• Developing the CFD Solution Philosophy
• 1D Inviscid Equations & Characteristic Theory -- Corrected Eigensystem
• Boundary Conditions
• Solving the Inviscid Equation Model
• Compressible
• 1D Explicit Numerical Methods
• 2D Explicit Numerical Methods
• 1D Implicit Methods
• 2D Implicit Methods
• Incompressible
• Including Viscous Terms & Implications
• General Aspects and Mesh Issues
• The Stress Model and Closure
• Boundary Conditions
• Numerical Computation of Viscous Terms