Relevance to WCCM–ECCOMAS

To introduce students and young researchers in the field of multiphysics modelling and simulation to the fundamentals. The course is centered around the fundamental concepts in applied mathematics and physics that allow a scientist to delve into the multiphysics domain.

Course description

To introduce students and young researchers in the field of multiphysics modelling and simulation to the fundamentals. The course is centered around the fundamental concepts in applied mathematics and physics that allow a scientist to delve into the multiphysics domain.

We will be practicing the concepts we are going to come across via a select number of advanced exercises

Objectives and target groups

To introduce students and young researchers in the field of multiphysics modelling and simulation to the fundamentals

• The course is centered around the fundamental concepts in applied mathematics and physics that allow a scientist to delve into the multiphysics domain
• We will be practicing the concepts we are going to come across via a select number of advanced exercises

Scientific and technical areas covered

• Basics of Perturbation Theory
• An introduction to what the main concepts behind perturbation theory are. A discussion of how to justify modeling hypotheses + a hands on exercise
• Introduction to Dimensional Analysis
• An introduction to the main concepts and theory behind dimensional analysis and a discussion of the methods available to find the hidden dimensionless numbers. We will combine dimensional analysis with perturbation theory to solve an important and advanced exercise.
• Introduction to Modeling
• A set of recommendations on how to begin modeling a multiphysics problem
• Multiphysics Mathematical Tools. An introduction to what it means to do multiphysics and what are the most common mathematical tools available in the literature. A discussion of the meaning behind these tools is given and a select number of advanced exercises are to be worked on.
• An introduction to the utility of dimensional analysis in computational physics and numerical analysis.
• Open Discussion and Brainstorming