The sluicing flume that was designed is less capable of silting up and losing its calibration than its counterparts of standard sharp-crested compound weir design. The laboratory work described here led to a refinement in the design in the form of a short flume set into the lowest section of a compound Crump weir gauging installation. Critical flow occurs near the exit of this flume, and it is ...

We study numerically the dynamics of spiral waves in an excitable medium with negative restitution. For our study we use two models of the excitable medium: a cellular automaton and a reaction-diffusion model. There are no significant effects of negative restitution as long as the slope of the restitution curve is less steep than -1. In media with slopes steeper than -1, the dynamics of spiral ...

Extreme surface waves in deep-water long-crested sea are often interpreted as a manifestation in real world of the so-called breathing solitons of the focusing nonlinear Schrödinger equation. While the spontaneous emergence of such coherent structures from nonlinear wave dynamics was demonstrated to take place in fiber optics systems, the same point remains far more controversial in the hydrody...

A specific, genuinely three-dimensional mechanism of rogue wave formation, in a late stage of the modulational instability of a perturbed Stokes deep-water wave, is recognized through numerical experiments. The simulations are based on fully nonlinear equations describing weakly three-dimensional potential flows of an ideal fluid with a free surface in terms of conformal variables. Spontaneous ...

6 In this paper, theoretical study is carried out to investigate the general 3D short-crested 7 wave interaction with a concentric two-cylinder system. The interior cylinder is imperme8 able and the exterior cylinder is thin in thickness and porous to protect the interior cylinder. 9 Both cylinders are surface-piercing and bottom mounted. Analytical solution is derived 10 based on the linear po...

Sierra, J.P., Dowding, D.D., Persetto, V., Oliveira, T.A.C., Gironella, X., Mösso, C. and and Mestres, M., 2011. Wave reflection, transmission and spectral changes at permeable low-crested structures. Journal of Coastal Research, SI 64 (Proceedings of the 11th International Coastal Symposium), . Szczecin, Poland, ISSN 0749-0208 Physical model tests were carried out in order to improve the under...

Similar to the Stokes drift in periodic gravity waves, we introduce a second-order effect on particle isolated linear surface disturbances (pulses) shallow water. For disturbance with shape and length scale of KdV solitary wave, model results agree surprisingly well observed moderately steep waves laboratory, as more comprehensive theory for waves.

The physics of the unstable E-region plasma is based on the modified two stream, or Farley-Buneman, and the gradient drift instabilities. The theory combines both mechanisms into a single dispersion relation which applies for the directly generated short-scale plasma waves, known as type 1 irregularities. In the absence of a plasma gradient it is only the two stream mechanism acting which favor...

We consider the capillary–gravity water wave equation in two dimensions. assume that fluid is inviscid, incompressible, irrotational and air density zero. construct an energy functional prove a local wellposedness result without assuming Taylor sign condition. When surface tension $$\sigma $$ zero, reduces to lower order version of obtained by Kinsey Wu (Camb J Math 6(2):93–181, 2018) allows a...