After successful completion of the course, students are able to solve partial differential equations describing fluid mechanics and heat transfer with appropriate numerical methods. They understand the strengths, weaknesses and limits of applicability of these methods.

Overview on the differential equations governing fluid dynamics and convective heat transfer. Discretization methods, convergence, stability, stationary solution algorithms, time integration. Modelling of fluid flow and heat transport. Data analysis and evaluation of numerical solutions.

Explanation of the theoretical foundations.

Written examination

Lecture notes for this course are available. C. A. J. Fletcher: Computational techniques for fluid dynamics, vol. 1, Springer (1991) J. J. Ferziger, M. Peric: Computational methods for fluid dynamics, Springer (2002) S. V. Patankar: Numerical heat transfer and fluid flow, Hemisphere (1980) B. Noll: Numerische Strömungsmechanik, Springer (1993) R. B. Bird, W. E. Stewart, E. N. Lightfoot: Transport Phenomena, Wiley (1960)

Ordinary differential equations. Initial and boundary value problems.