CSI 721: Computational Fluid Dynamics - I

Introduction
- What is CFD ?
- Why Computers ?
- Why Simulation ?
- Why CFD ?
- CFD Ingredients
- The CFD Code
- Brief History and Success Stories
- Present Status
- Projected Growth
Basic Equations of Fluid Mechanics
- Models
- Conservation of Mass
- Conservation of Momentum
- Conservation of Energy
- Constitutive Relations/Equations of State
- Nondimensional Numbers/Similarity
- Limit of Validity of the Navier-Stokes Equations
Simplifications and Special Cases
- RANS
- Incompressible Flows
- Euler
- Potential Flow
- Acoustic Limit
PDE Aspects
- Elliptic/Parabolic/Hyperbolic PDE's
- Model Equations and Exact Solutions
- Requirements on Solvers
- Approximation Theory
- Approximation Functions
- Local Approximation Functions
- Approximation of Operators
Potential Flow Solvers
Solution of Large Coupled Systems of Equations
- Direct Solvers
- Iterative Solvers
- Multigrid
Euler Solvers (1)
- Galerkin
- Lax-Wendroff
- Numerical Viscosities
- Boundary Conditions
Project Work and Exams
- 2-D Potential Solver on Structured Grid
- 2-D Euler Solver on Unstructured Grid
- Mid-Term Exam
- Final Exam
Textbooks
- C. Hirsch - Numerical Computation of Internal and External Flow; J. Wiley & Sons
- Anderson, Tannehill and Pletcher - Computational Fluid Mechanics and Heat Transfer