The general aim of the course is to give a solid background about numerical methods that are relevant to heat transfer and flow for applications in the energy field with an emphasis on design of components. Participants that complete the course will have sufficient prior knowledge for following studies where commercial numerical calculation tools (CFD codes) are used. The following subject is treated in the course:
- Numerical solutions to differential equations
- Error analysis in numerical methods
- Basic equations for heat transfer in solid materials
- Basic for flow: the preservation of mass, momentum and energy
- The finite difference method for 1D and 2D heat transfer
- Euler's solution method for transient heat transfer
- Stability criteria for explicitly time-marching solutions
- Advection equation and relevance to convective heat transfer
- Implicitly time-marching solutions for advection
- Introduction to Navier-Stokes equations and turbulence and their numerical treatment