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https://github.com/jitinnair1/hello-phasefield
some exercises in phasefield modelling solved in MATLAB
https://github.com/jitinnair1/hello-phasefield
allen-cahn cahn-hilliard matlab phase-field vtk
Last synced: about 1 month ago
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some exercises in phasefield modelling solved in MATLAB
- Host: GitHub
- URL: https://github.com/jitinnair1/hello-phasefield
- Owner: jitinnair1
- License: mit
- Created: 2018-06-20T11:17:33.000Z (over 6 years ago)
- Default Branch: master
- Last Pushed: 2019-11-30T13:41:06.000Z (almost 5 years ago)
- Last Synced: 2024-05-01T18:39:17.645Z (7 months ago)
- Topics: allen-cahn, cahn-hilliard, matlab, phase-field, vtk
- Language: MATLAB
- Homepage:
- Size: 86.9 KB
- Stars: 17
- Watchers: 2
- Forks: 2
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
This is a collection of some simple phasefield problems solved in MATLAB
# Contents
0. Some basic exercises to get started with MATLAB
```
├── basic_exercises
│ ├── IdealSolution.m
│ ├── PhaseDiagram.m
│ ├── RegularSolution.m
│ ├── RegularSolutionFunction.m
│ ├── StirlingPlot.m
│ └── fft_basics.m
```
1. Solving 1D difusion equation using explicitlty using Finite Difference Methods (using different boundary conditions) and Fourier Transforms
```
├── 1D_diff_explicit
│ ├── DiffExplicitFDMv1.m
│ ├── DiffExplicitFDMv2.m
│ ├── DiffExplicitFDMv3.m
│ └── DiffExplicitSpectral.m
```
2. Solving 1D difusion equation using implicitly using Finite Difference Methods (using different boundary conditions) and Fourier Transforms
```
├── 1D_diff_implicit
│ ├── DiffImplicitFDMv1.m
│ ├── DiffImplicitFDMv2.m
│ ├── DiffImplicitFDMv3.m
│ └── DiffImplicitSpectral.m
```
3. Solving the Allen Cahn equation using Fourier Transforms
```
├── allen_cahn
│ ├── AC_1D_Spectral.m
│ ├── AC_2D_Spectral.m
│ └── GibbsThomson.m
```
4. Solving the Cahn-Hilliard equation using Fourier Transforms
```
├── cahn_hilliard
│ ├── CH_1D_FDM.m
│ ├── CH_1D_Spectral.m
│ ├── CH_2D.m
│ ├── CH_FDM_GridPoint.m
│ ├── CH_Photo.m
│ ├── CH_SpectalvsFDM.m
│ ├── CH_Variation_Analysis_A.m
│ ├── CH_Variation_Analysis_kappa.m
│ └── CH_intuition.m
```
5. Spinodal decomposition
```
└── spinodal
| ├── Spinodal2D.m
| ├── Spinodal2D_EnergyPlots.m
| ├── Spinodal3D.m
| ├── SpinodalPhaseDiagram.m
| └── write_vtk_grid.m
```
6. Fan-Chen model for two grain system
```
├── fan_chen
│ └── FanChen.m
```
7. How the solution to the Diffusion equation is affected by choice of 'dx' and 'dt'
```
├── gridsize_effect
│ ├── DiffExplicinFunc.m
│ └── GridPointVariation.m
```
8. Calculation of interfacial width using Cahn-Hiliard equation
```
├── interfacial_width
│ ├── CH_Interfacial_FDM.m
│ ├── CH_Interfacial_Spectral.m
│ ├── CH_Interfacial_width_direct.m
│ ├── CH_Interfacial_width_func.m
│ ├── CH_Interfacial_width_slope_v0.m
│ ├── CH_Interfacial_width_slope_v1.m
│ ├── CH_Interfacial_width_slope_v2.m
│ ├── CH_Interfacial_width_slope_v3.m
│ └── CH_Interfacial_width_slope_variation.m
```
9. Solving sintering of two particle system
```
├── sintering
│ ├── free_energy_diff.m
│ ├── micro_sint_pre.m
│ ├── sintering.m
│ └── write_vtk_grid_values.m
```
# References
- [NPTEL course on Phasefield Modelling](https://nptel.ac.in/courses/113/101/113101072/)
- [Programming Phase-Field Modeling by S. Bulent Biner](https://www.springer.com/gp/book/9783319411941)