In Underworld3, the time derivative is a symbolic object. It appears in the solver's strong form as a SymPy expression, alongside the constitutive stress and the body force.

A constitutive model is a Python class where the relationship between fluxes and gradients is encoded in SymPy. At every stage the mathematics is visible, inspectable, and differentiable. The framewor...

Non-dimensionalisation (rewriting problems to make them re-scalable from lab to the real world) is a specialised task that all modellers confront at some point. It is important for accurate and effici...

One of the less glamorous but important problems in a finite element framework is this: how does the user assign values to a field variable, and how does the framework ensure that PETSc sees those values correctly, in parallel, without the user needing to keep track themselves?

What actually happens between the moment you write a mathematical expression in underworld3's python layer and the moment PETSc receives a finite element term in the form of compiled C code ?

The aim of underworld3 is to provide strong support to users in developing sophisticated mathematical models, and provide the ability to interrogate those models during development and at run-time. Underworld3 encodes the mathematical structure of the equations it solves in symbolic form.

Underworld is a code for geodynamics — mantle convection, lithospheric deformation, subduction, ice flow. We solve coupled, nonlinear PDEs with complex rheologies using Lagrangian particles to track m...

Underworld3 has about 50,000 lines of Python/ Cython wrapping PETSc, SymPy, and a just-in-time compiler. I began a trial of AI coding tools in 2025 and they have gradually become central to the way ou...

The aim of underworld3 is to provide strong support to users in developing sophisticated mathematical models, and provide the ability to interrogate those models during development and at run-time. Un...

Coupling in Underworld 2 Underworld 2's UWGeodynamic module enables the coupling of tectonics and surface processes models, most notably, with Underworld 2 handling the tectonics and Badlands (Salles...

Parallel computation puts many CPUs to work on solving a problem much more quickly than one CPU alone. But this only works if the tasks are carefully scheduled and the additional CPUs are not waiting ...

Fixing a very minor typo discovered in proofs, adding doi for JOSS product Full Changelog: https://github.com/underworldcode/underworld3/compare/joss-publication-v0.99...joss-publication-v0.99.1

A parallel, python, particle-in-cell, finite-element code for Geodynamics Underworld is a python-friendly geodynamics code which provides a programmable and flexible front end to all the functionality...

You are invited to a full-day workshop on Underworld — a computational Geodynamics / Tectonics modelling framework. This is an excellent opportunity for researchers, students, and professionals intere...

Introducing Underworld3: Mathematically Self-Describing Modelling in Python for Desktop, HPC and Cloud.

GPlates is a plate tectonics program. Manipulate reconstructions of geological and paleogeographic features through geological time. Interactively visualize vector, raster and volume data. PyGPlate...