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As a part of my PhD in the field of nonlinear optimization, I focus on the optimal control of flows that can be described with the incompressible Navier-Stokes equations. The Navier-Stokes equations are nonlinear partial differential equations (PDEs), which are used as constraints in my optimization problems. Furthermore, parameter identification and optimal design of experiments are key aspects of my investigations. For my numerical computations I use the open source, C ++ based library OpenFOAM, which conduce to the numerical simulation of continuum mechanical transport problems.
Project B04: Simulation Based Optimization and Optimal Design of Experiments for Wetting Processes
B04 is a subproject of the Collaborative Research Center 1194, that deals with the “Interaction between Transport and Wetting Processes” – particularly when, parallel to momentum transport, also heat and mass transport, complex fluids or complex surfaces are involved.
Borehole Thermal Energy Storage – Nonlinear mixed-integer Optimization of Proxy Models based on Experimental Design