Big Data

COVID-19 Virus Spread

Distribution of virus after sneezing in a typical hospital room

The inflow is above the window. The sneezing parameters (velocity, temperature, particle velocity, particle distribution, . . . ) were taken from experimentally measured data. Notice that the larger droplets (red color) fall quickly, but the smaller ones (blue color – logarithmic scale for the diameter !) stay on for a long time. The doctor/nurse is being surrounded on all sides by the virus. Furthermore, the virus exits the door into the corridor. This simple example clearly shows the imperative need for monitoring and improving the flow of air in hospitals

Reduced order modeling

Reduced order quadrture

Gravitational Waves

Full 3D turbulence model and vorticity formation.


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Optimization and Control

Deep Learning

Nonlinear & Nonlocal PDEs