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.

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

• 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)

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

Course will be held right after the lecture.

Due to the pandemic, the format of holding the LVA may vary.

All information can be found on TUWEL-course!

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