TEAM 2N. SMITHT. PINOMAAK.N. SHAMPURMcGill

CHiMaD Phase Field Methods Workshop III & HackathonMAY 3-5, 2016

Question #no. 1.

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

Q1 – GIF of EvolutionPF contour superimposed on U field

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

What final mesh would look like

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

Q1 – Tip Velocity vs Time (part a) Vnum – Interface position per time stepVsharp - 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 =

0.025L = 20 L = 100 L = 200

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/

AACHZf_6RcTs83nsF4mxO4mya?dl=0

Question 2

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

Q2 – Energy vs “Time” (Plot)

• Stress free • Cahn-Hilliard dynamics

final free energy = 1.2681020e-14 J

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

Q2 – 3D representation of result

Initialized cube relaxing to a sphere

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

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

CHiMaD Phase Field Methods Workshop III & Hackathon – MAY 3-5, 2016

Thanks.