As a category of challenging flow problems, flows with moving boundaries and interfaces, includes fluid–particle, fluid–object and fluid–structure interactions; free-surface and two-fluid flows; and flows with moving mechanical components. To address the challenges involved in computation of this category of problems, we developed a number of interface-tracking and interface-capturing technique...

We provide an overview of some of the interface-tracking and interface-capturing techniques we developed for finite element computation of flow problems with moving boundaries and interfaces. This category of flow problems includes fluid–particle, fluid–object and fluid–structure interactions; free-surface and two-fluid flows; and flows with moving mechanical components. Both classes of techniq...

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...

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...

Numerical simulations of a spherical shock refraction have been successfully conducted by a front tracking method We demonstrate the e ciency of the front tracking algorithm by comparing the L error of spherical simulations by tracked and untracked methods We nd that the tracked algorithm is about times faster than the correspond ing method without tracking the interface for a d d simulation

We study the autonomous motion of catalytic nanorods in Gibbs monolayers. The catalytic activity of the rods on a hydrogen peroxide aqueous subphase gives rise to anomalous translational and rotational diffusion. The rods perform a Levy-walk superdiffusive motion that can be decomposed into thermal orientation fluctuations and an active motion of the rods with a constant velocity along their lo...

In many situations of hydrodynamic phenomenon, two-layer fluid is a dominant feature of fluid motion. Such two-layer fluid often contains jumps in the density across the interface of fluid domains. The interface of air and water or salt water and fresh water is obvious example [Tho68]. The density jump may be assumed to occur in an infinitesimally thin interface in the mixture. And, the behavio...

Anomalous diffusion can be characterized by a mean-squared displacement 〈x(2)(t)〉 that is proportional to t(α) where α≠1. A class of one-dimensional moving boundary problems is investigated that involves one or more regions governed by anomalous diffusion, specifically subdiffusion (α<1). A novel numerical method is developed to handle the moving interface as well as the singular history kernel...

Abstract. In this work, an advanced numerical model, based on the cohesive zone approach and moving mesh technique, is proposed to simulate fracture propagation in quasi-brittle materials. particular, procedure consists of two stages. former one, according inter-element crack approach, once a suitable stress criterion for onset satisfied, boundary, representing segment, selected aligned along d...