Kelvin waves with helical Beltrami flow structure

Kelvin Waves and Dynamic Knots on Perturbative Helical Vortex Lines

Vortex lines are one-dimensional extended objects in three-dimensional superfluids. Vortex lines have many interesting properties, including Kelvin waves, exotic statistics, and possible entanglement. In this paper, an emergent ”quantum world” is explored by projecting helical vortex lines. A one-dimensional quantum Fermionic model is developed to effectively describe the local fluctuations of ...

Asymmetric, helical, and mirror-symmetric traveling waves in pipe flow.

New families of three-dimensional nonlinear traveling waves are discovered in pipe flow. In contrast with known waves [H. Faisst and B. Eckhardt, Phys. Rev. Lett. 91, 224502 (2003); H. Wedin and R. R. Kerswell, J. Fluid Mech. 508, 333 (2004), they possess no discrete rotational symmetry and exist at a significantly lower Reynolds numbers (Re). First to appear is a mirror-symmetric traveling wav...

The Beltrami Flow over Manifolds

Nonlinear Wave Packets of Equatorial Kelvin Waves

The weakly nonlinear dynamics of packets of equatorial Kelvin waves is studied using singular perturbation theory applied to the shallow water wave equations. Within the limits of the perturbation theory, which is formally restricted to weak mean shear and weak nonlinearity, we derive a Nonlinear Schroedinger equation to describe the envelope of the wave packet. We find that nonlinearity has a ...

The Beltrami Flow over Triangulated Manifolds

In several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over smoothing of the L2 and the stair-casing effects of the L1 flow for strongly ...