FOR 5409: Structure-preserving numerical methods for volume and transition coupling of heterogeneous models

Research Goal

The research group conducts research on the modeling and simulation of coupled systems to describe magnetized plasmas, complex fluids, and electrochemical processes. In coupled systems, multiple processes are considered in the same region of a selected physical domain (volume coupling) or mathematical models used in different parts of a domain are combined at common boundaries (transition coupling). The goal is to develop efficient numerical methods that guarantee important structural properties of the underlying continuous models and to implement them on high-performance computers.

Project partners

The chair TP I from RUB is involved with three (of nine) projects:

Project A2 (Rainer Grauer, RUB): Coupling the two-fluid/Maxwell system to Magnetohydrodynamics/Ohm's law
Project A3 (Jürgen Dreher, RUB): Adaptivity in Computational Cardiac Electrophysiology
Project B2 (Rainer Grauer, RUB and Christiane Helzel, HHU): An Active Flux Method for the Vlasov/Maxwell System

More information can be found here.