325.101 Finite Element Methods for Multi-Physics II
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, UE, 2.0h, 2.0EC

Properties

  • Semester hours: 2.0
  • Credits: 2.0
  • Type: UE Exercise

Learning outcomes

After successful completion of the course, students are able to perform numerical simulations in the field of aeroacoustics, electromagnetics-mechanics as well as electromagnetics-heat, and will be able to physically interpretate the obtained results.

Subject of course

The accurate modeling of mechatronic systems leads to so-called multi-field problems, which are described by a system of non-linear partial differential equations. These systems cannot be solved analytically and thus numerical calculation schemes have to be applied. Thereby, the finite element (FE) method has been established as the standard method for numerically solving the coupled system of partial differential equations describing the physical fields including their couplings.

Students will discuss and simulate various physical applications. In detail, the course will teach the physical / mathematical modelling and its FE simulation of the following coupled fields

Aeroacoustics

  • Sound generation by turbulent flows according to Lighthill's analogy
  • Approximation of free field conditions by absorbing boundary conditions and the Perfectly Matched Layer (PML) technique
  • Non-conforming finite elements

Electromagnetics-mechanics

  • Vector potential formulation for magnetodynamics
  • Nonlinear finite elements (Newton method) using edge finite elements
  • Coupling mechanism (electromagnetic forces, motional electromotive force)
  • FE formulation for the coupled field problem including moving / deforming solid bodies

Elektromagnetics-Heat

  • Multi-harmonic ansatz for the solution of the nonlinear electromagnetic partial differential equations in the frequency domain
  • Finite elements of higher order to efficiently resolve eddy currents in electric conductive structures
  • Coupling mechanism (Joul's losses due to currents, temperature dependet material parameters)

Teaching methods

The student will be interactively assisted, when performing the idividual tasks.

Mode of examination

Written and oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu10:00 - 12:0012.03.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0019.03.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0026.03.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0002.04.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0009.04.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0007.05.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0014.05.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0021.05.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0004.06.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0011.06.2020Seminarraum BA 05 Finite Element Methods for Multi-Physics II
Thu10:00 - 12:0025.06.2020Seminarraum BA 08B Finite Element Methods for Multi-Physics II

Examination modalities

The performance of students in is evaluated based on the protocols of by individual exercises and a final presentation of the obtained results.

Course registration

Begin End Deregistration end
12.02.2020 00:00 14.03.2020 23:00 13.03.2020 00:00

Curricula

Study CodeSemesterPrecon.Info
066 445 Mechanical Engineering STEOP
Course requires the completion of the introductory and orientation phase
066 445 Mechanical Engineering STEOP
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management STEOP
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management STEOP
Course requires the completion of the introductory and orientation phase
066 646 Computational Science and Engineering
066 646 Computational Science and Engineering

Literature

No lecture notes are available.

Preceding courses

Accompanying courses

Language

English