This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position). This model includes space–time fractional derivatives in the Caputo sense and time-dependent surface-heat flux. An approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solu...

This paper deals with thermodynamically consistent numerical predictions of solidification and melting processes of pure materials using moving grids. Till date, enthalpy-porosity-based formulations of numerical codes have been generally the popular choice, although because of an artificial numerical smearing of the interface, it is virtually impossible to reproduce a sharp melting/solidificati...

The heterogeneous interface for the mobile node is the key feature for the next generation mobile world. It provides the flexibility for the mobile devices for moving devices to the next available best network for high data rate connection. So it is firstly important to develop in ns2 for the research and educational purposes. It is very important to develop it in ns2 so that we can do experime...

Abstract. We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell. The fluid motion is governed by the Navier-Stokes equations, while the fluid shell is modeled by a bending energy which extremizes the Willmore functional and a membrane energy that extremizes the surface area of the shell. The fluid flow a...

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations of the velocity are governed by a geometry-dependent length scale arising from fluid conservation. This result is compared to the statistics resulting from ...

We propose a new direct coupling scheme based on the overset technique to tackle moving boundary problems within lattice Boltzmann framework. The is interpolation of distribution functions rather than moments, that is, macroscopic variables, and includes an additional hypothesis ensuring mass momentum conservation at interface nodes between fixed grids. method assessed considering four test cas...

A coupling method based on the overset grid approach has been successfully developed to couple multi-copies of a massively-parallel unstructured compressible LES solver AVBP for turbomachinery applications. As proper LES predictions require minimizing artificial dissipation as well as dispersion of turbulent structures, the numerical treatment of the moving interface between stationary and rota...

We report a clear demonstration of drag on colloidal particles by a moving nematic-isotropic interface. The balance of forces explains our observation of periodic, striplike structures that are produced by the movement of these particles.

The proper interpretation of bubble rising in a liquid column is critical in the investigation of the waterevapour two phase flow and heat transfer. In this paper, the bubble behaviours are studied using the combination of Level Set Method (LSM) and moving mesh method in a collocated grid. Level set method is used to track the interface of the bubble, which has many advantages over other interf...

We deal with some parallel algorithms for the numerical approximation of the front propagation problem. The model describe an interface moving in the normal direction with velocity c(x) > 0.