The design of this CRC’s Research Areas is guided by structural similarities in the application problems we intend to investigate. The individual research areas address three structurally different problem classes.
Research Area A: Efficient modelling of macro scales
We aim to predict large-scale/longtime features of the considered processes accurately, while accounting for smaller space and shorter time scales only to the extent necessary to achieve this goal. This entails, e.g., a progressive shift to probabilistic, averaged, or – more generally – set-based reduced representations at the smaller scales.
A01 - Coupling a multiscale stochastic precipitation model to large scale atmospheric flow dynamics
A02 - Multiscale data and asymptotic model assimilation for atmospheric flows
A04 - Efficient calculation of slow and stationary scales in molecular dynamics
A05 - Probing scales in equilibrated systems by optimal nonequilibrium forcing
A07 - Langevin dynamics of particles in membranes
Research Area B: Uniform meso scale behavior in scaling cascades
We consider processes involving a discrete or continuous range of scales all of which contribute collectively to the processes’ target features. Scale interactions are structurally similar across at least part of the scale range so that asymmetric representations of the larger and smaller scales, as in Research Area A, are not an option.
B01 - Fault networks and scaling properties of deformation accumulation
B03 - Multilevel coarse graining of multiscale problems
B05 - Origin of scaling cascades in protein dynamics
B06 - Data-driven and tensor-based analysis of multiscale systems
B07 - Selfsimilar structures in turbulent flows and the construction of LES closures
Research Area C: Bridging the micro-macro scale range
We are interested in processes in which a determining part of the physics arises at the smallest scales only, and we study how the smallest and largest scales communicate across the scale range.
C01 - Adaptive coupling of scales in molecular dynamics and beyond to fluid dynamics
C02 - Interface dynamics: Bridging stochastic and hydrodynamic descriptions
C03 - Multiscale modelling and simulation for spatiotemporal master equations
C05 - Effective models for materials and interfaces with multiple scales
C06 - Multiscale structure of atmospheric vortices
C08 - Stochastic spatial coagulation particle processes
C09 - Dynamics of rock dehydration on multiple scales