CFD 2
6 CPSummerEN
Prerequisites
Recommended, as written
Interest in numerical simulations of fluid flows with an inclination for computational methods relevant across applications. Successful completion of the courses CFD 0 and CFD 1 offered by the department is highly recommended but not mandatory.
Contents
General topics: • Conserved quantities and conservation laws • Mathematical properties of the governing equations • Discretization strategies (conservative vs. non-conservative, FDM vs. FVM) • Systems of scalar conservation equations • Mach-number asymptotics Topics related to compressible flows: • Riemann problem • Exact and approximate Riemann solvers • Flux functions, reconstructions, and limiters • Shock waves and other discontinuities Topics related to incompressible flows: • Role of pressure and Poisson problem • Poisson solvers (direct, spectral, iterative) • Pressure-projection schemes • Nonlinear instability and (de-)aliasing
Learning outcomes
After successful completion of this course, participants have gained a general understanding of the formulations, discretization strategies, numerical approaches, and burdens for computer simulations of compressible and incompressible fluid flows. They have furthermore learned how to quantify the role of compressibility and to judge its influence for a given application. Hands-on exercises strengthen the theoretical background thought and put the students in the position to be able to select the most suitable numerical tools.
Assessment
• oral examination, ~30-40 min
Literature (6)
- Kong, Siauw & Bayen. Python Programming and Numerical Methods: A Guide for Engineers and Scientists. Academic Press, 2020. URL: https://pythonnumericalmethods.berkeley.edu/notebooks/Index.html
- Ferziger, Péric & Street. Computational Methods for Fluid Dynamics. Fourth Edition. Springer, 2020. ISBN: 978-3-319-99691-2
- LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.
- LeVeque. Numerical Methods for Conservation Laws. Lectures in Mathematics, ETH Zurich. Birkhauser-Verlag, Basel, 1990. ISBN 3-7643-2464-3
- Orlandi. Fluid Flow Phenomena: A Numerical Toolkit. Kluwer, 2000.
- Geurts. Elements of Direct and Large-Eddy Simulation. Edwards, 2003.
Remarks
• The module primarily aims at Master students in the engineering and natural sciences who plan to specialize in a field that has a strong link to computational fluid dynamics.
Source: BTU's module description · retrieved 16 Oct 2026Original