Introduction
Methods for Model-Based Development in CE
2025-07-04
This lecture provides an introduction to
continuum mechanical modeling from the perspective of simulation science and computational engineering.
Starting from fundamentals and balance laws, we consider
important classes of mathematical models
for transport, flow and multiphysics processes. We also discuss
complexity reduction strategies
such as homogenization and depth-averaging to enable the simulation of porous media flow, free-surface flow and solid-liquid phase change processes.
Complementary theoretical and programming exercises
help to consolidate the content of this lecture and provide theoretical and application-oriented examples.
Target audience:
Required preliminary knowledge:
Time slots:
Schedule is displayed on https://mbd.pages.rwth-aachen.de/courses/cmm/
Note
Any short notice changes will be communicated via moodle!
Time slots:
Exams
Material and resources:
Objectives inherent to many societal challenges require fundamental understanding of the underlying physical processes, systems thinking, and advanced compute methods!
Figure 4: Addressing societal challenges requires proficiency in simulation science and computational science and engineering
Objectives inherent to many societal challenges require fundamental understanding of the underlying physical processes, systems thinking, and advanced compute methods!
Figure 5: Addressing societal challenges requires proficiency in simulation science and computational science and engineering
Figure 6: Milestone contribution to the modeling of phase-change processes due to Stefan, 1891
Figure 7: Measuring phase-change processes
Figure 8: Measuring phase-change processes
We need to develop physics-based continuum mechanical computational models at a problem specific fidelity.
Figure 9: Measuring phase-change processes
A model is a purposeful idealization and abstraction of our perception of reality.
In simulation science and computational engineering, the purpose often implies an I/O character.
Overview of the lecture
Gonzalez and Stuart (2001)
Continuum Mechanical Modeling for Simulation Science - Introduction