SIMPLE-type preconditioners for the Oseen problem

Preconditioners for the incompressible Navier-Stokes equations

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...

Mark formation modeling in optical rewritable recording

In optical rewritable recording media, such as the Blu-ray Disc, amorphous marks are formed on a crystalline background of a phase-change layer, by means of short, high power laser pulses. In order to improve this data storage concept, it is of great importance to understand the mark formation process. Therefore, a rigorous numerical model is...

Study Report of IFISS Package (version 2.1)

The main core of this report is to explore the functionality of IFISS package [1]. IFISS stands for Incompressible Flow Iterative Solution Software (IFISS) designed in Matlab by David J. Silvester [2], Howard C. Elman [3] and Alison Ramage [4]. IFISS comprises of discretization and solving schemes for four type of PDEs (Poisson, Convection...

Solution of the incompressible Navier Stokes equations with preconditioned Krylov subspace methods

In this report, using SEPRAN, the incompressible Stokes and Navier Stokes problems are solved in a square and L-shaped domain with a varying grid size and Reynolds number. Both problems are solved with iterative solvers using an ILU preconditioner. Different ordering techniques of the grid points and the unknowns are used to avoid breakdown of...

Modeling of three-dimensional multi-phase flows with a mass-Conserving Level-Set method

In this work incompressible two-phase flows are considered. The aim is to model high density-ratio flows with arbitrary complex interface topologies, such as occur in air/water flows. Between the phases a sharp front exists, where density and viscosity change abruptly. The computational method used in this paper is the Mass Conserving Level-Set...

A study of enthalpy methods for mark formation modeling

Towards solving a moving boundary problem within a multi-layered recording stack

A level set method for particle dissolution in a binary alloy

A mathematical model is proposed for the dissolution of stoichiometric particles in binary alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. The Level Set method is used to capture the interface location implicitly. The front velocity, only dened on the moving interface, should be advected to the...

A mass conserving level set (MCLS) method for modeling of multi-phase flows

The Mass-Conserving Level-Set (MCLS) method is proposed to model multi-phase flows. The aim is to model high density-ratio flows with complex interface topologies, such as mixtures of bubbles and droplets. Aspects which are taken into account are: a sharp front (density changes rapidly), arbitrary shaped interfaces, surface tension, buoyancy and...

Deflation in preconditioned conjugate gradient methods for Finite Element Problems

We investigate the influence of the value of deflation vectors at interfaces on the rate of convergence of preconditioned conjugate gradient methods applied to a Finite Element discretization for an elliptic equation. Our set-up is a Poisson problem in two dimensions with continuous or discontinuous coefficients that vary in several orders of...

A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients

A parallel block-preconditioned GCR method for incompressible flow problems