We investigate theoretically and experimentally the capillary-gravity waves created by a small object moving steadily at the water-air interface along a circular trajectory. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum phase velocity c(min)=23 cm s(-1). We demonstrate that no such velocity threshold exists for a steady circular...

In this paper, some new approaches are proposed for moving boundary/interface problems, particularly for the Stefan problems and the problem of unstable crystal growth. We will focus on the issues of accuracy and speed-up. A modiied Crank-Nicolson method which is second order accurate and stable is developed. The ADI (alternating implicit directional method) is also developed to speed up the si...

The no-slip boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary condition is used to model the hydrodynamics of immiscible-fluid displacement in the vicinity of the moving contact line, where the interface separating two immiscible ...

– We introduce a Markovian model describing the paths that pin an elastic interface moving in a two-dimensional disordered medium. The scaling properties of these “elastic pinning paths” (EPP) are those of a pinned interface belonging to the universality class of the Edwards-Wilkinson equation with quenched disorder. We find that the EPP are different from paths embedded on a directed percolati...

The Ohta-Kawasaki model for diblock-copolymers is well known to the scientific community of diffuse-interface methods. To accurately capture long-time evolution moving interfaces, we present a derivation corresponding sharp-interface limit using matched asymptotic expansions, and show that limiting process leads Hele-Shaw type interface problem. numerical treatment more complicated due stiffnes...

boundary integral equations (bie) are reformulations of boundary value problems for partial differential equations. there is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. in this paper, the neumann problem is reformulated to a bie, and then moving least squares as a meshless method is describe...

We consider the evolution of contact lines for viscous fluids in a two-dimensional open-top vessel. The domain is bounded above by a free moving boundary and otherwise by the solid wall of the vessel. The dynamics of the fluid are governed by the incompressible Stokes equations under the influence of gravity, and the interface between fluid and air is under the effect of capillary forces. Here ...

This paper extends current knowledge on electromagnetic wave scattering from bounded moving media in several regards. First, it complements the usual dispersion relation of media, ?(?k) (?k: phase velocity direction, associated with vector, k), equally important impedance relation, ?(?S) (?S: group Poynting S). Second, explains interluminal-regime phenomenon double-downstream transmission acros...

With the rise in the use of AFM (Atomic Force Microscope), we have witnessed a growing use of atomic microscope based nanorobots in the precise displacement of various particles. There are certain limitations to the application of nanorobots in the moving of nanoparticles. One of the most important of these limitations is the lack of an appropriate image feedback concurrent with the displaci...