ED352 - Course 'Applications of the phase field method in Materials Science', J-M. DEBIERRE

Simulate the time evolution of an interface between several phases (Stefan problem). Derive the phase-field model that describes this evolution by using a diffuse (instead of sharp) interface. Solve the phase-field equations by writing numerical codes optimized by GPU parallel programming.
Show the importance of using input from experimental measurements and from atomic-scale simulations to calibrate the phase-field codes.
Show a number of possible applications, like solidification of photovoltaic silicon, diffusion-limited dendritic growth in lithium batteries, mechanical instabilities, electromigration

1. Solidification is a phase transition
2. Pure material solidifying
3. Input from experiments and atomic-scale simulations
4. Binary alloy solidifying
5. Phase-field model: derivation and coding
6. Recent results in solidification
7. Other systems governed by interface evolution
8. Other categories of phase-field models

It is recommended but not mandatory that the students be familiar with basic concepts of
- thermodynamics
- phase transitions of materials
- code writing
- interface instabilities (possibly

Knowing how to simulate the complex evolution of a system driven by the evolution of the interface(s) between two (or more) phases.
Being able to master four main steps:
- writing the physical equations,
- deriving the phase-field equations,
- exploiting the available input from experiment and simulation,
- writing the numerical code

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