Simulation of cusp formation in composite materials using the thick level set method

On the microlevel, cusps are formed during delamination crack growth under mode II loading conditions. In this work, the Thick Level Set (TLS) approach is used to simulate the cusp formation process. A plasticity model for polymers is implemented in the TLS method and a new loading scheme is devised to deal with permanent strain. A numerical...

Simulation of cusp formation in mode II delamination

On the microlevel, cusps are formed during delamination crack growth under mode II loading conditions. In this work, two different approaches to simulate this process are presented. Firstly a cohesive zone method where cohesive segments are introduced between a pair of neighbouring elements when the traction between those elements exceeds the...

A mathematical model for baterial self-healing of cracks in concrete (abstract)

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...

A Runge-Kutta Discontinuous-Galerkin Level-Set Method for Unsteady Compressible Two-Fluid Flow

In this work a numerical method for the solution of the two-dimensional Euler equations describing unsteady compressible two-fluid flow is presented. The method is based on the combination of a Runge-Kutta discontinuous Galerkin discretization of the Euler equations and a level-set method for the treatment of the two-fluid interface. The...

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...

A Runge-Kutta Discontinuous-Galerkin Level-Set Method for Unsteady Compressible Two-Fluid Flow

In this work a numerical method for the solution of the two-dimensional Euler equations describing unsteady compressible two-fluid flow is presented. The method is based on the combination of a Runge-Kutta discontinuous Galerkin discretization of the Euler equations and a level-set method for the treatment of the two-fluid interface. The...

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...