13762 - CFD 2 Modulübersicht

Module Number: 13762
Module Title:CFD 2
  CFD 2
Department: Faculty 3 - Mechanical Engineering, Electrical and Energy Systems
Responsible Staff Member:
  • Prof. Dr.-Ing. Schmidt, Heiko
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: Every summer semester
Credits: 6
Learning Outcome: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.
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
Recommended Prerequisites: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.
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 2 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:
  • 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
  • ˆFerziger, Péric & Street. Computational Methods for Fluid Dynamics. Fourth Edition. Springer, 2020. ISBN: 978-3-319-99691-2
  • ˆLeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.
  • ˆLeVeque. Numerical Methods for Conservation Laws. Lectures in Mathematics, ETH Zurich. Birkhauser-Verlag, Basel, 1990. ISBN 3-7643-2464-3
  • ˆOrlandi. Fluid Flow Phenomena: A Numerical Toolkit. Kluwer, 2000.
  • ˆGeurts. Elements of Direct and Large-Eddy Simulation. Edwards, 2003.
Module Examination:Final Module Examination (MAP)
Assessment Mode for Module Examination:
  • oral examination, ~30-40 min
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • Master (research-oriented) / Hybrid Electric Propulsion Technology / PO 2024
  • Bachelor (research-oriented) / Maschinenbau / PO 2006
  • Master (research-oriented) / Maschinenbau / PO 2006
  • Master (research-oriented) / Maschinenbau / PO 2023
  • Master (research-oriented) - Reduced Semester / Maschinenbau / PO 2023
  • Master (research-oriented) - Co-Op Programme with Practical Place / Maschinenbau - dual / PO 2023
Remarks:
  • No lectures in summer semester 2024
  • 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.
Module Components:None
Components to be offered in the Current Semester: