Higher dimensional numerical simulations of precipitate dissolution in multi-component aluminium alloys

In thermal processing of alloys, homogenization of the as-cast microstructure by annealing at such a high temperature that unwanted precipitates are fully dissolved, is required to obtain a microstructure suited to undergo heavy plastic deformation. This process is governed by Fickian diffusion and can be modelled as a Stefan problem. In binary...

Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on an Eulerian Variational Formulation

We propose a general variational framework for the adaptive finite element approximation of fluid-structure interaction problems. The modeling is based on an Eulerian description of the (incompressible) fluid as well as the (elastic) structure dynamics. This is achieved by tracking the movement of the initial positions of all `material' points....

Two- and three-dimensional simulation of a rising bubble and falling droplet using level set method

The numerical simulation of a rising bubble in liquid and falling droplet is presented. The two- and three-dimensional incompressible Navier-Stokes equations are used to solve the gas-liquid two phases flow system with free surfaces. A sharp interface separates fluids of different density and viscosity. The interface between gas and liquid is...

Oscillation and rotation of levitated liquid droplet

The oscillation and rotation of a levitated liquid droplet are simulated numerically using the level set method. The frequency and the damping of the oscillation for small amplitude are shown to agree well with those by the linear theory. It is shown that the oscillation frequency decreases as the amplitude increases. The oscillation frequency...

Saffman-Taylor instability and interface capturing by semi-Lagrangian level set method

This work presents some results concerning the interface evolution of two imiscible fluids flowing inside an isotropic porous medium in a typical viscous instability problem, known as the Saffman-Taylor instability. This involves the application of an iterative parallelizable graph based algorithm coupled with a semi-Lagrangian level set...