Modeling, Simulation and Optimization of Complex and Extreme Flows
and Thomas Wick
Many real world applications in fluid mechanics include either complex
flows where the assumptions of linear standard models are not given,
or such extreme conditions that the capability of current
numerical methods is reached or exceeded.
Materials like oil, lubricants, bitumen or ice-layer show a strongly
nonlinear behavior and can completely change their characteristics
when undergoing large pressure and stresses. Many problems require the
consideration of coupled processes, where the fluid interacts with
rigid or elastic solids, particles or other liquids.
The mathematical description of all these processes is a challenge.
Typical applications often include large problem data and no smallness
assumptions of parameters can be made. This makes existence and
uniqueness results not available or extremely hard to get. Discretization
results in very stiff algebraic systems, such that standard solver techniques
mostly fail. Strong nonlinearities complicate the use of gradient based
techniques needed for error estimation or optimization.
In this minisymposium, we will bring together scientists dealing
with all kinds of complex flows, that have in common that standard methods in
analysis, discretization and optimization are not applicable and the
development of new techniques is needed.