Virtual Physics: Using Modern Modeling Methodologies for Computer Simulation

Computer games, driving simulators, control of robots, or optimization of aircraft design: all these applications require suitable and efficient models of their physical processes. This lecture offers an introduction to object-oriented, declarative languages such as Modelica and demonstrates their application for the purpose of computer simulation.

Starting from physical principles, the lecture explains how to model electrical and mechanical systems. The development of extensive modeling-libraries is outlined and illustrated by suitable mechatronic systems. The modeling of further physical domains is briefly sketched.

In addition, the lecture concerns the computational aspects of computer simulation. The processing of the modeling language is explained in detail and the most important algorithms for time-integration are presented.

The corresponding exercise sessions offer the opportunity for the participants to gain their own modelling experience, for instance by creating a mechanic modelling library. Finally, the participants are encouraged to develop a real-time simulation of an electric vehicle. A high interest in physics but no additional prerequisites are expected for this lecture. All important fundamentals will be explained in the lecture.

Language: All written documents will be in English. The lectures are held either in German or in English according to the preference of the audience that will be determined in the first lecture.

By the completion of the course, the students acquire the ability to model physical systems using equation-based computer languages. In addition they learn to understand the compiler techniques that are needed to process these languages and they are able to select the adequate numerical methods that are required for simulation.

Basic algebra, Basic numerical computing, Programming knowledge,Physics (High-School Level)

lecture, exercise course, problems for individual study

slides, black board, modelica programs

Peter Fritzson (2011):Introduction to Modelica and Simulation of Technical and Physical Systems with Modelica, Wiley IEEE
Peter Fritzson (2003):Principles of Object?Oriented Modeling and Simulation with Modelica 2.1, Wiley IEEE

In the written 60 minutes exam students should prove to be able to identify a given problem and find solutions within limited time using equation-based simulation of physical systems.