COURSE CONTENT

1. Finite Difference Method: Classification of partial differential equations. Construction of finite difference approximations. Discretization of first and second order derivatives. Temporal discretization. Explicit and implicit numerical schemes. Boundary conditions.
2. Properties of Numerical Methods: Consistency condition. Truncation error. Stability condition. Convergence of numerical schemes.
3. Iterative Methods: Solving systems of equations.
4. Numerical methods for ordinary differential equations: Linear multistep methods. Runge-Kutta methods.
5. Programming and implementation of computational methods.

LEARNING OUTCOMES

The learning outcomes upon successful completion of the course are the following:

• Learning: The students comprehend the basic principles of computational fluid dynamics and can employ numerical methods for the prediction of flow fields.
• Skills: The students will develop skills in solving problems in aerodynamics and fluid mechanics using computer and programming.