DFG Priority Programme SPP 2410 CoScaRa (Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness)
The project is a bilateral DFG–SNSF collaboration: Dr. Stephan Simonis is the PI of the part at the LBRG at KIT funded by the DFG as lead agency, with Co-Investigators PD Dr. Mathias J. Krause (LBRG) and Prof. Dr. Martin Frank (Scientific Computing Center des KIT (SCC)). Prof. Dr. Siddhartha Mishra is the PI of the part at the CAMLab at ETH Zürich, funded by the SNSF as partner agency.
Towards the inviscid Euler limit, solutions of the three-dimensional compressible Navier–Stokes–Fourier system lose regularity and uniqueness, so that deterministic well-posedness is out of reach. The project therefore computes statistical solutions, probability measures on the space of square-integrable functions, with a kinetic framework: entropy-stable lattice Boltzmann methods in OpenLB on heterogeneous GPU clusters, combined with a new Quasi-Monte Carlo module for the integrals over the probability space. With it, the team will test sharp theoretical predictions, namely weak-strong uniqueness and the scaling of structure functions (Onsager’s conjecture), and quantify the uncertainty of aeroacoustic observables in transonic flows, bridging measure-valued analysis and engineering application.
This project is funded by the Deutsche Forschungsgemeinschaft (DFG) and the Swiss National Science Foundation (SNSF)
