3. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q1 – GIF of Evolution
PF contour
superimposed on U
field
4. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
What final mesh would look like
5. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q1 – Tip Velocity vs Time (part a)
Vnum – Interface position per time step
Vsharp - Tracking interface, then taking local
numerical gradients in liquid and solid phase.
• V_num = 0.089
• V_sharp = 0.031
• V_num = 0.014
• V_sharp = 0.018
• V_num = 0.027
• V_sharp = 0.025
L = 20 L = 100 L = 200
6. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q1 – Details
• dx = 20/32 for L = 20, 100/128 for L = 100
• dt < dx*dx/(4*D) (linear stability criterion)
• # cores: 1
• Wall clock time: 10 min for L = 100, <1m for L = 20;
• Intel(R) Xeon(R) CPU E5620 @ 2.40GHz
• Total 65 GB RAM
• https://www.dropbox.com/sh/pyolv5zju1fheqd/AA
CHZf_6RcTs83nsF4mxO4mya?dl=0
8. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q2 – Energy vs “Time” (Plot)
• Stress free ⇒ 𝑓𝑒𝑙𝑎𝑠𝑡𝑖𝑐= 0
• Cahn-Hilliard dynamics
final free energy = 1.2681020e-14 J
9. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q2 – 3D representation of result
Initialized cube relaxing to a sphere
10. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Q2 – Details
• Implemented in Julia
• Iterations to converge: 600
• Cores: 4 (8 threads)
• CPU: i7-4710MQ
• Wall clock time: 28 seconds
• Source available at github.com/nsmith/chimadQ2
11. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
thoughts
• U field reaches boundary very fast
• Large dx leads to not so round initial seed
• Rotated aniso & n-fold symmetry were
buggy! (in house code)
• Not familiar with elasticity models
12. CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016
Thanks.
