The document summarizes the results of simulations run by Team 3 from Northwestern University at the CHiMaD Hackathon on October 16, 2015. It includes simulations of the Cahn-Hilliard equation with different boundary conditions and mesh refinements, as well as Ostwald ripening simulations showing the time evolution of phase separation with periodic and zero-flux boundary conditions. Questions from attendees of the hackathon are invited at the end.

1. CHiMaD Hackathon
Team 3: Northwestern University
Stefan Poulsen, Kevin McReynolds, Peter Voorhees
October 16, 2015

2. Cahn-Hilliard – Periodic BCs
Early Times 5x Speed

3. Cahn-Hilliard – Zero Flux BCs
Early Times 5x Speed
326 m for 5×106 timesteps, up to simulation time 25,000

4. Refined Mesh – Zero Flux BCs
• h = 1/√2
• Time step reduced
• S = (200,200)/√2

5. Cahn-Hilliard – T Shape
Early Times 10x Speed

6. T = 0.00
100×200 rectilinear grid in (θ, φ)

7. T = 0.02

8. T = 0.40

9. T = 1.20

10. Ostwald – Periodic BCs: t = 0
η1 η2 η3 . . .
c

11. Ostwald – Periodic BCs: t = 5
η1 η2 η3 . . .
c

12. Ostwald – Periodic BCs: t = 10
η1 η2 η3 . . .
c

13. Ostwald – Periodic BCs: t = 15
η1 η2 η3 . . .
c

14. Ostwald – Periodic BCs: t = 20
η1 η2 η3 . . .
c

15. Ostwald – Periodic BCs: t = 25
η1 η2 η3 . . .
c

16. Ostwald – Periodic BCs: t = 30
η1 η2 η3 . . .
c

17. Ostwald – Periodic BCs: t = 50
η1 η2 η3 . . .
c

18. Ostwald – Periodic BCs
C (Smaller wavevector IC) MATLAB

19. Ostwald – Zero Flux BCs

20. C
η9η1
Ostwald – T Shape

21. QUESTIONS?