COFFEE -- An MPI-parallelized Python package for the numerical evolution of differential equations

TL;DR

COFFEE is an MPI-parallelized Python package designed for the numerical evolution of systems of partial differential equations, offering various integrators, finite differencing, spectral methods, and post-processing tools.

Contribution

It introduces a versatile Python toolkit with MPI parallelization and multiple numerical methods for evolving PDEs, enhancing flexibility and usability in computational physics.

Findings

Supports MPI parallelization across different geometries

Includes multiple time integrators and finite differencing schemes

Provides spectral methods and data visualization tools

Abstract

COFFEE (ConFormal Field Equation Evolver) is a Python package primarily developed to numerically evolve systems of partial differential equations over time using the method of lines. It includes a variety of time integrators and finite differencing stencils with the summation-by-parts property, as well as pseudo-spectral functionality for angular derivatives of spin-weighted functions. Some additional capabilities include being MPI-parallelisable on a variety of different geometries, HDF data output and post processing scripts to visualize data, and an actions class that allows users to create code for analysis after each timestep.