325.099 Finite Element Methods for Multi-Physics II This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2019S, VO, 2.0h, 3.0EC

Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture

Aim of course

The course teaches latest achievements in the physical modelling and numerical simulation using the Finite Element (FE) method for coupled field problems, as arising in mechatronic systems (e.g., electromagnetic brake systems, eddy current brakes, flow induced sound of air-conditioning systems, induction heating systems, etc.). Graduate students will have the following knowledge:

• physical and mathematical modeling of flow induced sound (aeroacoustics), electromagnetic-mechanical and electromagnetic-thermal systems
• FE simulations of coupled field problems towards aeroacoustics, electromagnetic-mechanical and electromagnetic-thermal systems
• correct physical interpretation of FE simulation results to perform the necessary steps to optimize current and future mechatronic systems.

Subject of course

The accurate modelling 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.

In detail, the course will teach the physical / mathematical modelling and its FE formulations of the following coupled fields

Aeroacoustics

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

Electromagnetics-mechanics

• Maxwell's equations
• Vector potential formulation for magneto-dynamics
• 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

Electromagnetics-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 (Joule's losses due to currents, temperature dependent material parameters)
• FE formulation of the coupled field problem

Course dates

DayTimeDateLocationDescription
Thu08:30 - 10:0007.03.2019 - 27.06.2019Seminarraum BA 05 Course
Finite Element Methods for Multi-Physics II - Single appointments
DayDateTimeLocationDescription
Thu07.03.201908:30 - 10:00Seminarraum BA 05 Course
Thu14.03.201908:30 - 10:00Seminarraum BA 05 Course
Thu21.03.201908:30 - 10:00Seminarraum BA 05 Course
Thu28.03.201908:30 - 10:00Seminarraum BA 05 Course
Thu04.04.201908:30 - 10:00Seminarraum BA 05 Course
Thu11.04.201908:30 - 10:00Seminarraum BA 05 Course
Thu02.05.201908:30 - 10:00Seminarraum BA 05 Course
Thu09.05.201908:30 - 10:00Seminarraum BA 05 Course
Thu16.05.201908:30 - 10:00Seminarraum BA 05 Course
Thu23.05.201908:30 - 10:00Seminarraum BA 05 Course
Thu06.06.201908:30 - 10:00Seminarraum BA 05 Course
Thu13.06.201908:30 - 10:00Seminarraum BA 05 Course
Thu27.06.201908:30 - 10:00Seminarraum BA 05 Course

Not necessary

Curricula

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

Literature

M. Kaltenbacher. Numerical Simulation of Mechatronic Sensors and Actuators. Finite Elements for Computational Multiphysics. Springer-Verlag, Heidelberg, 2015, ISBN: 978-3-642-40169-5

Previous knowledge

The cours Finite Element for Multi-Physics I (325.095, VU) is recommended.

English