Day 1. First an introduction to the phase field concept is given. In particular, possible physical applications are shown and the relation to other moving-interface models, such as level sets, will be discussed. A simple problem with a prescribed moving interface will be studied in more detailed, both analytically and numerically.
Day one ends with a reception and flash presentations (one slide each!) given by the participants on their own work; the latter aiming at stimulating discussion within the group.
Day 2. The content of day two focuses more on the analysis of the phase field model, building upon the concepts introduced in day one. This includes matched asymptotic expansions to show that a phase field model reduces to the corresponding sharp-interface model.
Day two ends with a dinner, giving the participants the possibility to discuss matters and to build a network. The prize for the best flash presentation will be awarded!
Day 3. Day three will focus on advanced applications (e.g. fracture propagations).
|09:30-12:30||Introduction to phase fields||Christian Rohde|
|13:30-17:00||Asymptotic expansions||Carina Bringedal|
|17:00-18:30||Reception and flash presentation|
|Tuesday||09:00-12:00||Two-phase flow||Carina Bringeda|
|13:00-17:00||Numerical methods||Christian Rohde|
|19:00 - ....||Dinner|
|Wednesday||09:00-12:00||Phase field methods for two-phase flow and tumor growth||Harald Garcke|
|13:00-17:00||Phase field methods for fractured media||Thomas Wick|