Tesserae.jl

A Julia-powered toolkit for material point method

Tesserae is a toolkit for implementing the material point method in Julia. It is designed to maintain consistency between mathematical expressions and source code, enabling rapid development. Current features include:

Grid and particle generation
Various interpolation types, including B-splines, GIMP, CPDI, and MLS-MPM
Convenient macros for transferring data between grid and particles
Multithreading support
Exporting VTK files for visualization

Documentation

Examples

The following examples are taken from the tutorials.

Simulations using various transfers (PIC, FLIP, APIC, TPIC, and XPIC) 🔗

Jacobian-free Newton-Krylov method 🔗

Stabilized mixed MPM for incompressible fluid flow 🔗

Other MPM packages in Julia

MaterialPointSolver.jl

Inspiration

Some functionalities are inspired from the following packages:

Citation

If you find Tesserae.jl useful in your work, I kindly request that you cite it as below:

@software{NakamuraTesserae2024,
    title = {Tesserae.jl: a {J}ulia-powered toolkit for material point method},
   author = {Nakamura, Keita},
      doi = {10.5281/zenodo.13956709},
     year = {2024},
      url = {https://github.com/KeitaNakamura/Tesserae.jl}
  licence = {MIT},
}