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Instructors: Prof. Dr. techn. Herbert Egger; M.Sc. Thomas Kugler; M.Sc. Pascal Mindt; Moritz Schneider
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Comp. Fluid Dyn.
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
Modelling:
Reynolds transport theorem; conservation of mass and momentum; Navier-Stokes and Euler equations; boundary conditions; siomplified models;
Analysis:
weak formulation; existence and uniqueness results for Stokes and Navier-Stokes;
Numerics:
Fhe finite element method for coercive and non-coercive problems; convergence analysis; convection-diffusion problems; stable discretization for the Stokes problem; numerical tretament of the Navier-Stokes equations;
Literature:
D. Braess: Finite Elemente, Springer 2007.
D. C. Brenner, L. R. Scott: The mathematical theory of finite element methods, Springer, 2002
V. Girault, P.-A. Raviart: Finite Element Approximation of the Navier-Stokes Equations, LNM749, Springer, 1979
C. Johnson: Numerical solution of partial differential equations by the finite element method, Dover, 2009
R. Temam, Navier-Stokes Equations, North-Holland Publishing, 1979
Online Offerings:
moodle
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