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Cleoing/phase-field-method

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Theory of phase field method

see phase field model.pdf for the basic concept and equation of phase field model

see Conditions.pdf for boundary condtion, initial condition and stability condition of model

Calculation of phase field model

see Numerical method.pdf for discretization process for time and space

see Steps.pdf for the steps of simulation process

Code

Code could be divided into three parts:set up, simulation and plot. In the setup part, people can change parameters for obtaining different result.

parameters.txt could be regarded as a guidance for changing parameters

Example

see timeevolution.png for an example simulation of the model

Testing

see test files for testing the function of phase field euqation, temperature equation and anisotropy equation

Reference

  1. Abdullah Shah, Ali Haider, Said Karim Shah. Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model https://www.scirp.org/journal/wjm/

  2. Rahul Sanal Numerical Simulation of Dendritic crystal growth using phase field method and investigating the effects of different physical parameter on the growth of the dendrite

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