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Lectures

Numerical Simulation Methods

This lecture provides a practice-oriented introduction in numerical and computational methods for simulating continuum mechanical problems, like they occure typically in engineering applications. The application of these methods gain in importance in industrial practice. The lecture imparts knowledge about the fundamentals in modelling, discretizing schemes and solving algorithms, just as the for practical usage important questions of accuracy, costs and efficiency. The important industrial domains of fluid and structural mechanics are handled as well as heat transfer problems.

From the Content

  • Basics of continuum mechanical modelling, simple field problems
  • Finite difference methods, Finite volume methods, discretization of convective and diffusive fluxes, Galerkin method, finite element methods, simple elements and shape functions.
  • Time discretization, explicit and implicit approaches
  • Characteristics of numerical solvers, stability, consistence, convergence, conservatism and error estimation

Details

Lecture name: Numerical simulation methods
Term: Summer
Lecturer: Prof. Dr. rer. nat. o. Weeger
(Prof. Dr. rer. nat. M. Schäfer
Responsible assistant: D. Klein, M.Sc.
M. Edelbluth, M.Sc.
Start of lectures: Wed., 16th April 2025
Lecture dates: Wednesdays 12:35 – 14:15h
Room: L4|02 1
Credit points: 4
Examination: written examination
Next examination date: July 2025
Related tutorial: Numerical simulation methods tutorial

Recommended literature

Title: Computational Engineering – Introduction to Numerical Methods Edition: 2nd Edition Author: Michael Schäfer Publisher: © Springer-Verlag Berlin, Heidelberg 2022 ISBN: 978-3-540-30685-6

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