Computer-aided design of porous structures is a challenging task because of the high degree of irregularity and intricacy associated with the geometries. Most of the existing design approaches either target designing artifacts with regular-shaped pores or reconstructing geometric models from existing porous objects. For regular porous structures, it is difficult to control the pore shapes and d...

As the water waves come to coastal area, variation in dispersion relation due spatial inhomogeneity brings about deformation of wave shape. With local bathymetry effect, propagation experiences a complicated evolution process, including reflection, shoaling and breaking, etc. Considering directional spreading effect refraction becomes indispensable when it comes two-dimensional (2D) problem ran...

We investigate how the presence of a vertically sheared current affects wave statistics, including probability rogue waves, and apply it to real-world case using measured spectral shear data from Mouth Columbia River. A theory for weakly nonlinear waves valid second order in steepness is derived, used analyze statistical properties surface waves; extends classic by Longuet-Higgins [J. Fluid Mec...

We introduce random homoclinic points and orbits for random dynamical systems with hyperbolic stationary orbits and investigate their meaning for irregular behaviour in form of a stochastic version of the Birkhoo-Smale Theorem. In particular we show that transversal random homoclinic points cause a conjugacy of the random dynamical system in a part of the phase space to a random shift system.