TuringPatternsOn2DSurfaces

WORK IN PROGRESS

Table of Contents

1. About The Project
   • Built With
2. Progress so far
3. Roadmap
4. License
5. Contact
6. Acknowledgments

About The Project

An investigation of turing patterns on (no-boundary, smooth) 2D manifolds (in 3D space) using numerical (FEM) and analytical methods.

Built With

• 
  • Ferrite.jl
  • Symbolics.jl
• Gmsh

Progress so far

• Preliminary simulation tests:
  • Simulated and reproduced known results of the Schnakenberg system on a sphere
  • Simulated Gray-Scott (GS) system on the Dziuk surface
  • Simulated Gray-Scott system on a sphere
  • Solved time-dependent heat equation on Dziuk surface
  • Solved stationary heat equation on Dziuk surface
  • Solved stationary heat equation on sphere (See 02_LBO_onSphere)
• Created refined meshes, using a manually initial mesh (4nodes-8triangles).
  • function to generate meshes
  • .msh files
• Created custom mapping and CellValues (in accordance with Ferrite.jl devdocs) for 2d triangular surface meshes embedded in 3D space.

License

Distributed under the GNU AFFERO GENERAL PUBLIC LICENSE Version 3. See LICENSE.txt for more information.

Contact

Author name: Avina Kalle LinkedIn

Project Link: https://github.com/Avina-cK/TuringPatternsOn2DSurfaces

Reference(s)

Gerhard Dziuk. Finite Elements for the Beltrami operator on arbitrary surfaces, pages 142–155. Springer Berlin Heidelberg, Berlin, Heidelberg, 1988.

Acknowledgments

• Ekre, Fredrick; Carlsson, Kristoffer and Ferrite.jl contributors for Ferrite.jl
• Choose an Open Source License
• Img Shields
• Alan Turing
• othneildrew. README Template.

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