Research

Our research on scalable algorithms for large-scale multi-physics simulations, accessible high-performance computing, and open-source scientific software.

Our interdisciplinary research group focuses on a variety of topics:

• Scalable algorithms for large-scale multi-physics simulations
• Accessible high-performance computing (HPC): reproducibility, interoperability, hardware-independent programming (GPUs)
• Data-driven methods for numerical simulations (Scientific Machine Learning)
• Research software engineering for HPC
• Encrypted methods for privacy-preserving computational science
• Applications in fluid mechanics, astrophysics, atmosphere science, biomechanics

Research projects

We currently participate in the following funded research projects:

SNuBIC — DFG Research Unit FOR5409: Structure-Preserving Numerical Methods for Bulk- and Interface Coupling of Heterogeneous Models

ACTRIX — DFG project: Accessible extreme-scale computing with Trixi.jl and the Julia programming language

ADAPTEX — BMBF project: Adaptive Earth system modelling with strongly reduced computation time for exascale-supercomputers

GPU4GEO — PASC project: Differentiable multi-physics solvers for extreme-scale geophysics simulations on GPUs

Software

We develop and maintain several open-source software projects.

Trixi framework

We contribute to the Trixi framework for adaptive high-order numerical simulations of conservation laws:

• Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
• libtrixi: Interface library for using Trixi.jl from C/C++/Fortran
• TrixiParticles.jl: Particle-based multiphysics simulations in Julia

Privacy-preserving computational science

• SecureArithmetic.jl: Secure arithmetic operations in Julia using fully homomorphic encryption
• OpenFHE.jl: Fully homomorphic encryption in Julia using OpenFHE