Numerical simulation of the Turek 3 fluid-structure interaction benchmark. The video shows flow-driven deformation of an elastic structure attached to a cylinder, illustrating oscillatory motion and coupled fluid and solid dynamics over time.
Fluid-structure interaction simulation of a shock wave propagating through a vessel. The animation shows transient pressure-driven motion of the vessel wall and the resulting deformation induced by the traveling wave.
Simulation of a venous valve in an interacting fluid and deformable structure setting. The video shows opening and closing of the valve leaflets under flow, emphasizing valve motion and the surrounding fluid response.
Fluid-structure interaction simulation in an aneurysm geometry with magnetic particles. The animation shows particle transport within pulsatile flow and deformation of the vascular structure in a localized dilated region.
Simulation of magnetic particle transport in a bifurcating artery with fluid-structure interaction. The video illustrates how particles move through the branching vessel while the arterial walls deform under the flow.
Almost-isometric Willmore flow of a (2,3) torus knot
with
A. Gruber
Geometric evolution of a (2,3) torus knot under an almost-isometric Willmore flow. The animation shows smooth deformation of the knot while approximately preserving intrinsic geometric features during the flow.
Almost-isometric Willmore flow of a (4,3) torus knot
with
A. Gruber
Geometric evolution of a (4,3) torus knot under an almost-isometric Willmore flow. The video displays the changing knot shape as curvature-driven smoothing acts while the knot topology is retained.
Area-preserving Willmore flow of a cow
with
A. Gruber
Surface evolution of a cow-shaped geometry under area-preserving Willmore flow. The animation shows progressive smoothing of the shape while maintaining surface area as the object evolves.
Area and volume preserving Willmore flow of a rabbit-dog
with
A. Gruber
Evolution of a rabbit-dog shape under a Willmore flow constrained to preserve both area and volume. The video shows the object gradually simplifying and smoothing while retaining global geometric measures.
Volume-preserving mean curvature flow of a moai statue
with
A. Gruber
Volume-preserving mean curvature flow applied to a moai statue geometry. The animation shows curvature-driven smoothing of the statue while preserving overall enclosed volume.
Volume-preserving Willmore flow of a rabbit-dog
with
A. Gruber
Rabbit-dog geometry evolving under a volume-preserving Willmore flow. The video illustrates the gradual transition toward a smoother configuration while maintaining enclosed volume.
Interface Tracking Single Vortex Benchmark, T = 4
with
A. Chierici and G. Barbi
Interface-tracking benchmark for a single-vortex flow up to final time T = 4. The animation shows deformation and recovery of an interface transported by a rotating flow field.
Rayleigh-Bernard Instability
with A. Chierici, G. Barbi, and H. Don-Gammanpila
Simulation of buoyancy-driven instability with evolving fluid structures. The video displays the development of instability patterns and mixing behavior caused by density differences in the flow.
Time Dependent Optimal Control Example for Navier Stokes
The optimal solution (on the right) tracks the manufactured solution (on the left) through a velocity boundary control tangential to the left boundary
with
A. Chierici and D. Gilliam
Time-dependent optimal control example for the Navier-Stokes equations. The left side shows a manufactured target solution and the right side shows the controlled solution tracking that target through tangential boundary velocity control.