The following lecture notes are available:
- Introduction by Thomas Wick
- Lecture notes by Thomas Richter
- Slides of Simone Deparis
- The Book of Abstracts can be downloaded here
Aims and main topics
Discussion of topical challenges to modeling, discretization and adaptive methods and their efficient numerical solution in the context of fluid-structure interaction
After several decades of intensive research, numerical analysis and
simulation of fluid-structure interactions remain a challenging topic
with a large number of unresolved problems and issues. While the
numerical analysis of the coupled system of equations in terms of
well-posedness and convergence is typically limited to simple model
problems, a lot of insight have been gained over the years by means
of numerical simulations. Established methods like the Arbitrary
Lagrangian-Eulerian (ALE) method or the Immersed Boundary Method have
been succesfully applied to a wide range of applications, including
for example aero-elasticity and aero-acoustics, biomechanics, energy
or mechanical engineering.
Nevertheless, there are yet a number of problems, where most of the established methods fail or come to a limit. Problems are caused for example by large structural deformations or contact problems, stiff couplings, extreme parameters or a huge computational complexity. In the last years, a number of novel methods and approaches have been developed to tackle such problems many of them being still subject of ongoing research.
An area of research on its own is the development of efficient solvers for the underlying linear systems of equations. The high complexity of real world applications calls for algorithms that include adaptivity in time and space, model reduction, as well as parallelization. In the case of strong couplings, the coupled system of equations is extremely bad conditioned, such that the design of efficient solvers, e.g. multigrid solvers, is a challenge.
This workshop addresses the previously mentioned challenges and aims at bringing together experts and junior scientists in the fields of modeling, adaptive discretizations and solvers for fluid-structure interaction. To provide a platform in order to teach and learn state-of-the art formulations for fluid-structure interaction, this workshop consists of a two-day-school and a subsequent three-day-symposium. The latter one will consist of invited and contributed presentations of junior scientists and experts whereas the school lectures will be given by three young scientists and experts in their field covering each of the three topics of our symposium.