We propose a lattice Boltzmann method to treat moving boundary problems for solid objects moving in a fluid. The method is based on the simple bounce-back boundary scheme and interpolations. The proposed method is tested in two flows past an impulsively started cylinder moving in a channel in two dimensions: (a) the flow past an impulsively started cylinder moving in a transient Couette flow; a...

In the numerical simulation of the combustion process and microstructural evolution, we need to consider the adaptive meshing problem for a domain with a moving boundary, in which, the submesh in the region behind the moving boundary needs to be coarsened while the submesh in the region ahead of the moving boundary needs to be reened. In this paper, we present a uniied scheme for simultaneously...

Keywords: Benjamin–Bona–Mahony equation Method of compactness Moving boundary Crank–Nicolson method a b s t r a c t In this work we present the existence, the uniqueness and numerical solutions for a mathematical model associated with equations of Benjamin–Bona–Mahony type in a domain with moving boundary. We apply the Galerkin method, multiplier techniques, energy estimates and compactness res...

In this paper, we propose a new numerical method for determining a moving boundary from Cauchy data in one dimensional heat equation. The numerical scheme is based on the use of fundamental solutions of the heat equation as basis functions. In order to regularize the ill-conditioned linear system of equations resulted by collocating boundary data, we apply successfully the Tikhonov regularizati...

Phase change materials are substances that absorb and release thermal energy during the process of melting and freezing. This characteristic makes phase change material (PCM)  a favourite choice to integrate it in buildings. Stephan problem including melting and solidification in PMC materials is an practical problem in many engineering processes. The position of the moving boundary, its veloci...

Moving Boundary Problem is a multi-channel, interactive live electronic work for two performers. The piece has developed around a gestural language that explores the sonic and expressive capabilities of a pair of hybrid acoustic / electronic instruments. Utilizing a wide range of human / computer interfaces and signal processing techniques, these composed instruments extend acoustic sound sourc...

In a moving boundary problem one or more of the domain boundaries is an unknown function of time. The classic moving boundary problem, the Stefan problem, is related to the tracking of a sharp liquid/solid front during the melting of ice. A major societal problem of our time is the current rapid rate of degradation of Earth environments and resources through climate change and other anthropogen...

A sperm penetrates an egg by extending a long, actin-filled tube known as the acrosomal process. This simple example of biomotility is one of the most dramatic. In Thyone, a 90 I~m process can extend in less than 10 s. Experiments have shown that actin monomers stored in the base of the sperm are transported to the growing tip of the acrosomai process where they add to the ends of the existing ...

The 2-phase heat control problem by a single laser point input is studied and a method of overcoming the moving boundary problem is introduced. This is achieved by applying a sequence of linear time varying control problems which converge to the single nonlinear problem which can be obtained from the joint moving boundary problems.