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151-0409-00L 4 Credits MSC D-ITET , D-MAVT , D-PHYS
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Multiphysics Modeling and Simulation

Lecturers & Examiners: Dr. Cosmin Ioan Roman
VVZ CR n/a

Last Updated: 2026-02-05 15:48:06

Abstract

This class introduces theoretical and practical aspects related to the modeling and simulation of multiphysics systems. Students will learn how to set up a multiphysics model from scratch, in a systematic fashion, and thus avoid frustrating pitfalls that come with trial-and-error. Comsol Multiphyics will be utilized to apply the concepts learned during the lectures to solve exercises.

Objective

As information technology continues its fast-paced evolution, solid-state devices and systems increase in complexity. Engineers and scientists are thus increasingly facing the need to model and simulate their problems numerically where analytic textbook solution cease to exist. Moreover, boundaries between traditional disciplines are harder to maintain, as a proper description of the system might involve phenomena from several domains. Examples include—but not limited to—mechatronics which relies on mechanical, electrical and electronic engineering, and transducers (sensors and actuators) which are by definition devices that convert signals from one physical domain to another. Simulation platforms such as Comsol Multiphysics have truly opened the way to easy multi-domain numerical simulation, offering tools that cover all operations from geometry definition, to meshing, to physics and boundary conditions setting to simulation and result post-processing and analysis in a unified, domain-independent fashion. However, this high degree of freedom has it price, as unexperienced users will soon find themselves in front of frustrating error messages or incomprehensible results. It is the role of this course to show how to properly set up a problem by exposing common misconceptions and pitfalls in multiphysics modeling. Good practices will be taught that should significantly speed-up the modeling process and produce results that do not contradict intuition. Examples will mainly come from the fields of mechanics (continuum mechanics), electromagnetism (Maxwell equations), heat transport (Fourier equation) and combinations of these domains.

Content

- Recap of ordinary and partial differential equations (ODEs and PDEs) concepts - Existence and uniqueness of solutions; well- and ill-posed problems - Time integration and (non)linear solvers - Boundary conditions and constraints - Approximate and simplified formulations; domains of applicability - Discretization and numerical solutions for differential equations - Solution-appropriate meshing; multiscale, local/global adaptive meshing - Geometry simplification - Model order reduction, coarsening - Coupling and segregation/decoupling of multiphysics

Resources

Lecture Notes

Lecture handouts will be posted online.

Learning Materials (Links)

General Information

Language
English
Levels
MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Multiphysics Modeling and Simulation
  • Wed 12:15-14:00 (LFV E 41)
2 h weekly
exercise Multiphysics Modeling and Simulation
  • Wed 16:15-18:00 (LFV E 41)
2 h weekly

Offered In