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Center for Hierarchical Materials Design
Group 5Karim Ahmed, Idaho National LaboratorySudipta Biswas, Purdue University
Team Lead: Daniel Schwen & Larry Aagesen, Idaho National Laboratory
CHiMaD Phase Field Methods Workshop III & HackathonMAY 3-5, 2016
Question 1
Q1 Dendritic growth-Sharp Vs Diffuse interface description
Energy balance in the bulk phasesInterfacial energy balance (Stefan/Jump condition)Dynamical Gibbs-Thomson condition The sharp-interface model leads to the following free/moving boundary problemThe diffuse-interface model is constructed as
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q1 Moose implementation
The diffuse-interface model is constructed asTimeDerivativeCoefCoupledTimeDerivativeDiffusionModifiedTimeDerivativeACInterfaceKobayashiDerivativeParsedMaterial
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q1 Movie of Evolution
Four-fold symmetrySix-fold symmetry
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q1 Movie of Evolution-Adaptivity
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q1 Tip Velocity vs Time
The tip velocity should be calculated by tracking the interface position with time, it can also be directly calculated from the Stefan/Jump condition at the interface
The interface position can be identified by a contour value of the phase-field variable or its gradient. These kernels are now work on progress! Here, weSimply used an effective radius and its derivative
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Question 2
Q2 Workflow (flowchart)
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q2 3D representation of result
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q2 Measurement of Aspect Ratio along principal directionsLineValueSampler postprocessor used across the principal axes
y-axisTime Stepx-axisAxis Length (nm)
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
2D Evolution
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
Q2 Energy vs Time (Plot)
Total EnergyTime
Time Stepdt
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016
ConclusionConvergence issuesPeriodic boundary condictionsIntroduced one non-conservative order parameters
CHiMaD Phase Field Methods Workshop III & Hackathon MAY 3-5, 2016