Table of contents

1. Introduction
   • 1.1 Computational Fluid Dynamics
   • 1.2 Vector Differential Operator
2. Governing Equations
   • 2.1 Substantial Derivative
   • 2.2 Conservation of Mass
   • 2.3 Conservation of Momentum
   • 2.4 Conservation of Energy
3. Mathematical Behaviour of PDEs
   • 3.1 Consept of Characteristics
   • 3.2 Elliptic Equations
   • 3.3 Parabolic Equations
   • 3.4 Hyperbolic Equations
4. Mesh Generation
5. Basic Discretization Techniques
   • 5.1 Finite Difference
   • 5.2 Finite Elements
   • 5.3 Finite Volumes
   • 5.4 Radial Basis Function Collocation
   • 5.5 Example Problem: Laplace Equation
     • 5.5.1 FDM
     • 5.5.2 FEM
     • 5.5.3 FVM
     • 5.5.4 RBF
6. Visualization
7. Commercial and Open Source Softwares

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