# Ferienakademie 2014 Course 4: Fluid-structure interaction from the nano- to the macroscale

Charged point particles driven by an external field through a channel. The particles accelerate the solvent, whose velocity is visualized by arrows.
Flow around an invisible rectangular obstacle using a thermal lattice Boltzmann solver. Color codes the flow velocity (from blue to red).
Fluid-structure interaction simulation of the flow around the Millau viaduct in France shown below.
Waving Flag Benchmark: direct comparison between numerical simulation and experimental verification.
Applications of the waLBerla lattice Boltzmann solver framework.
Vocal Fold Simulation with Local Refinement.
Coupled fluid simulation and rigid body dynamics for particle segregation.

Fluids and structures play a role in numerous applications in science and engineering, from nanofluidic devices to aircraft design. Often one is interested not only in the fluid or structural dynamics alone, but also in their interaction, when e.g. moving, and deformable structures are embedded in a fluid. In nanofluidic devices, the fluid is often driven by embedded charged particles, which then can be driven by an external electric field. On the macroscopic scale, understanding the function of a wind turbine requires both the dynamics of the fluid, in this case air, and the rotating wings. In this course, we will learn about numerical techniques that can be used to simulate such problems.

Topics can include:

• High order immersed boundary and fictitious domain methods
• Low and high order finite elements
• High order immersed boundary and fictitious domain methods
• Numerical integration of continuous and discontinuous functions
• Octree generators for meshing complex structures
• Nitsche-coupling for interface problems
• Volume-coupled multifield problems (thermoelasticity)
• Surface-coupled multifield problems (fluid-structure interaction)
• Arbitrary Lagrangian Eulerian formulations for fluid structure interaction
• Fixed grid formulations for fluid structure interaction
• Macromolecular particle simulation
• Molecular dynamics and ensembles
• Force fields
• Lattice Boltzmann Method
• Boundary conditions, immersed Boundary Method
• Relaxation schemes, thermalization
• Coupling to Molecular Dynamics / embedded structures
• Elektrokinetic equations

## Practical Information

• This course is part of the Ferienakademie 2014 to be held in Sarntal, South Tyrol
• Applicants should be at least in their 3rd year of studying
• All presentations will be in English