Simulation Methods for Distributed Systems

  Flow simulation around a sphere Michel Make

The lecture deals with the mathematical basics of the finite element method from the perspective of a mechanical engineer. It is complemented by a programming exercise.

Contact

Stefanie Elgeti

Name

Stefanie Elgeti

Stellv. Institutsleitung

Phone

work
+49 241 80 99922

Email

E-Mail
 

Calendar WS 18/19

Lecture: Tuesday 10:30-12:00 GRS001

Laboratory exercise: Wednesday 8:30-10:00 ZuseLab S1

 

Instructors

Lecture: Prof. Dr.-Ing. Stefanie Elgeti

Laboratory exercises: Jan Helmig, M.Sc. Fabian Key, M.Sc.

Content

The course is a continuation of the lecture “Simulation Methods in Mechanical Engineering”. It deepens the understanding already gained in the area of distributed systems. The topic of finite elements receives special attention. The course treats further differential equations which are relevant in mechanical engineering. The special aspects of each governing equation are discussed. The topics of geometry definition and adaptation, free-surface problems and non-standard interpolation function spaces are covered. Additional time discretization techniques are introduced. In addition, efficient solution techniques for the large linear systems of equations arising from the discretization of distributed systems are presented.

The module consists of a lecture and a programming exercise with 2 SWS each, and carries 6 ECTS points.

Topics

  • introduction to differential equations
  • weak solution of a differential equation
  • finite element method
  • time discretization methods
  • iterative solvers

Literature

  1. H. Elman, D. Silvester, A. Wathen, Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics , Oxford University Press
  2. A. Quarteroni, Numerical Models for Differential Problems , Springer
  3. A. Quarteroni, F. Saleri, P. Gervasio, Scientific Computing with MATLAB and Octave , Springer

Examination

Bonus points will be awarded on the basis of the programming exercise. Oral exams take place on several dates after the end of the lecture phase.