# 325.101 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_20",{id:"j_id_20",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_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2021S 2020S 2019S

2021S, UE, 2.0h, 2.0EC

## Properties

• Semester hours: 2.0
• Credits: 2.0
• Type: UE Exercise
• Format: Distance Learning

## Learning outcomes

After successful completion of the course, students are able to perform numerical simulations in the field of acoustics, 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 modeling and its FE simulation of the following coupled fields

Acoustics

• Sound propagation in micro- and macrodomains
• Approximation of free field conditions by absorbing boundary conditions and the Perfectly Matched Layer (PML) technique
• Non-conforming finite elements

Electromagnetics-linear non-linear

• Vector potential formulation for magnetodynamics
• Nonlinear finite elements (Newton method) using edge finite elements
• Coupling mechanism (electromagnetic forces, motional electromotive force)

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 dependent material parameters)

## Teaching methods

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

## Mode of examination

Written

Course will be held right after the lecture

## Examination modalities

The performance of students is evaluated based on the protocols of each homework assignment.

## Course registration

Begin End Deregistration end
17.02.2021 00:00 20.03.2021 23:00 19.03.2021 00:00

## 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
066 482 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
066 646 Computational Science and Engineering
066 646 Computational Science and Engineering

## Literature

No lecture notes are available.

English