The Research Unit

Structure-Preserving Numerical Methods for Bulk- and Interface Coupling of Heterogeneous Models (SNuBIC)

The SNuBIC Research Unit

DFG SNuBIC (short title for Structure-preserving Numerical Methods for Bulk and Interface-Coupling of Heterogeneous Models) is a team of researchers funded by the German Research Foundation under the grant number DFG-FOR5409 to investigate the modeling and simulation of coupled systems described by partial differential equations (PDEs). While the development of accurate numerical methods for various types of PDEs is still a very active research field, most complex applications are described by coupled systems of several PDEs, i.e. by heterogeneous models, like magnetised plasmas, complex fluids and electro-chemical processes. Key aspects of our research unit are bulk- and interface-coupling, structure-preserving numerical methods, and re-usable code development.

Check out our Projects:

Electro-Chemistry

Consistent Coupling of Electromagnetics to Thermodynamics for Batteries

Plasma Interactions

Coupling the two-fluid/Maxwell system to Magnetohydrodynamics/Ohm’s law

Cardiology Models

Adaptivity in Computational Cardiac Electrophysiology

Plasma Numerics

A Hybrid Entropy-Stable Spectral Element Method for Magnetized Plasmas

Kinetic Simulations

An Active Flux Method for the Vlasov-Maxwell system

Complex Fluids

Structure-Preserving Multi-Scale Methods for Complex Fluids

Moment Models

Adaptive Coupling of the Maximum-Entropy Cascade for the Vlasov Equation

Low-Rank Methods

Dynamical Low-Rank Approximation Methods for Two-Particle Kinetic Equations

Time Stepping

A Multi-Scale and Multi-Physics Time Integration Approach

Parallel Computing

Parallel Execution of Adaptive Multi-Physics Simulations on Hierarchical Grids


Participating Institutions

RWTH RWTH Aachen University or Rheinisch-Westfälische Technische Hochschule Aachen is a German public research university located in Aachen, North Rhine-Westphalia, Germany. With more than 47,000 students enrolled in 144 study programs, it is the largest technical university in Germany

RUB The Ruhr University Bochum (German: Ruhr-Universität Bochum, RUB) is a public research university located in the southern hills of the central Ruhr area, Bochum, Germany. It was founded in 1962 as the first new public university in Germany after World War II. Instruction began in 1965.

Cologne The University of Cologne (German: Universität zu Köln) is a university in Cologne, Germany. It was the sixth university to be established in Central Europe and, although it closed in 1798 before being re-established in 1919, it is now one of the largest universities in Germany with more than 48,000 students.

HHU Heinrich Heine University Düsseldorf (HHU) (German: Heinrich-Heine-Universität Düsseldorf) was founded in 1965 as the successor organisation to Düsseldorf's Medical Academy of 1907 and was named after German poet Heinrich Heine. More than 36,000 full-time students are pursuing studies at HHU.

HLRS The High Performance Computing Center Stuttgart (HLRS) is a research institute and a supercomputer center affiliated to the University of Stuttgart, Germany. It operates one of the fastest supercomputers in the world and offers access to supercomputers for universities and research institutions as well as industrial partners.

IPP The Max Planck Institute for Plasma Physics (German: Max-Planck-Institut für Plasmaphysik, IPP) is a physics institute investigating the physical foundations of a fusion power plant. As part of the Max Planck Society, it is an associated, non-funded partner of the research unit.