The following subjects related to calculation methods for heat transfer and fluid flow are treated in the course:
1. Storing of large numbers in computers (single and double precision)
2. Numerical solutions to differential equations
3. Error analysis in numerical methods (rounding, truncation etc)
4. Main equations for heat transfer in solid materials
5. Divergence theorem
6. Equations for compressible flow: conservation of mass, linear momentum and energy
7. Finite difference method for 1D and 2D heat transfer
8. Euler's solution method for transient heat transfer
9. Stability curves for explicit time marching solutions
10. Higher order time discretisation (Predictor-Corrector Scheme and Runge-Kutta method)
11. Crank-Nicolson method (implicit time marching)
12. Mesh generation
13. Advection equation and “upwind schemes”
14. Lax-Wendroff scheme
15. Introduction to solutions for inviscid flow
16. Introduction to Navier-Stokes equations and turbulence