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:

• Ferrite.jl
• taichi_mpm