| Project |
Applicants |
| Implicit LES of high Mach and high Reynolds number compressible turbulent flows enhanced by multidimensional flow field information using optimized flux functions and targeted reconstruction procedures due to machine-learned nonlinear neural operators |
N. Adams |
| Compressible Euler equations with transport noise |
D. Breit
|
| Analysis of energy-variational solutions for hyperbolic conservation laws |
T. Eiter,
R. Lasarzik |
| EsCUT: Entropy-stable high-order CUT-cell discontinuous Galerkin methods |
C. Engwer,
H. Ranocha
|
| Balance laws with space-dependent nonlocalities: modeling, simulation and uncertainty quantification (NonLoc) |
J. Friedrich,
S. Göttlich |
| Stability of shock waves under hyperbolic dissipation |
H. Freistühler |
| Rough and nonlinear transport in stochastic fluid dynamics |
B. Gess,
R. Gvalani
|
| Dissipative solutions for the Navier-Stokes-Korteweg system and their numerical treatment |
J. Giesselmann,
P. Öffner
|
| A posteriori error control for statistical solutions of barotropic Navier-Stokes equations |
J. Giesselmann,
S. Krumscheid |
| An active flux method for the Euler equations |
C. Helzel,
M. Lukáčová |
| Numerical schemes for coupled multi-scale problems |
M. Herty,
S. Müller |
| Random compressible Euler equations: numerics and its analysis |
M. Herty,
M. Lukáčová |
| A structure-preserving compact high-order method for multi-dimensional hyperbolic conservation laws |
C. Klingenberg |
| Stochastic subgrid scale modeling and structure-preserving flux limiting for hyperbolic systems |
D. Kuzmin |
| Convex integration: towards a mathematical understanding of turbulence, Onsager conjectures and admissibility criteria |
S. Markfelder |
| Approximation methods for statistical conservation laws of hyperbolically dominated flow |
M. Oberlack,
C. Rohde |
| Asymptotic preserving high order generalized upwind SBP schemes with IMEX time integration applied to kinetic transport models |
S. Ortleb |
| Convex integration and dissipative anomaly in compressible turbulence |
J. Schumacher,
L. Székelyhidi |
| A sharp interface limit by vanishing volume fraction for non-equilibrium two phase flows modeled by hyperbolic systems of balance laws |
F. Thein |
| Model cascades for stochastic particle simulations of rarefied polyatomic gases |
M. Torrilhon,
H. Gorji
|
| Inhomogeneous and compressible fluids: statistical solutions and dissipative anomalies |
E. Wiedemann,
G. Crippa
|
