Project Hintermüller / Hinze

Within this project we develop, analyze, and implement simulation and optimization procedures for variable density multiphase flows governed by diffuse interface models. In the simulation part we in particular develop and analyse numerical methods for the simulation of multiphase flow problems with variable fluid densities which guarantee a locally refined resolution of the local processes at the interface. In a next step we propose adaptive discretization concepts for the coupling of diffuse interface models and surface partial differential equations (PDEs). In the optimization part we consider open - and closed - loop control approaches, where we formulate and analyze optimal control problems for multiphase flows governed by diffuse interface models, develop robust and reliable solution strategies for their numerical solution, and develop, implement and analyze model-predictive feedback control strategies for multiphase flows governed by diffuse interface models.

Researchers:
Christian Kahle, Hamburg
Donat Wegner, Berlin