In this work, rising of a single bubble in a quiescent liquid under microgravity condition was simulated. The related unsteady incompressible full Navier-Stokes equations were solved using a conventional finite difference method with a structured staggered grid. The interface was tracked explicitly by connected marker points via hybrid front capturing and tracking method. One field approximatio...

An essential ingredient in the simulation of multiphase fluid flow with surface tension is the accurate computation of the interface curvature. Curvature effects become more significant as we decrease the length scale of the problem at hand and thus accurate computation of curvature is especially important when considering microscale multiphase flows. We compared the curvature field calculated ...

We present a new way of modeling turbulent thermonuclear deflagration fronts in Chandrasekhar-mass white dwarfs, consisting of carbon and oxygen, undergoing a type Ia supernova explosion. Our approach is a front capturing/tracking hybrid scheme, based on a level set method, which treats the front as a mathematical discontinuity and allows for full coupling between the front geometry and the flo...

in the most described maximum power point tracking (mppt) methods in the literatures, the optimal operation point of the photovoltaic (pv) systems is estimated by linear approximations. however, these approximations can lead to less optimal operating conditions and significantly reduce the performances of the pv systems. this paper proposes a new approach to determine the maximum power point (m...

Two-phase flows with dynamic interfaces are ubiquitous in daily life as well as in many industrial applications. Gas bubbles and liquid droplets are typical forms of these twophase flows. In chemical engineering, understanding the dynamics of these bubbles and droplets is crucial to the design and operation of the two-phase flow reactors, ranging from microfluidic devices to large systems such ...

We consider a model of continuous sedimentation. Under idealizing assumptions, the settling of the solid particles under the influence of gravity can be described by the initial value problem for a nonlinear hyperbolic partial differential equation with a flux function that depends discontinuously on height. The purpose of this contribution is to present and demonstrate two numerical methods fo...

The impact of the Level Set (LS) method on numerical capturing of interfaces (Osher and Fedkiw, 2003; Sethian, 1999) is well known. Widely-reaching applications include fluid mechanics, combustion, computer vision, and material science. As a way of describing immiscible multi-phase flows, the LS was shown to provide a worthy alternative (Sussman et al., 1994) to the already in existence volume-...