Projects | Zachary R. Atkins

Graph Viz

Mon, 02 Feb 2026 00:00:00 +0000

Graph Viz is a standalone app for visualizing common graph algorithms. .

ChordDyn

Sun, 31 Aug 2025 00:00:00 +0000

ChordDyn is a software library and collection of scripts written in Python 3 and Julia to generate novel chord progressions using chaotic trajectories overlaid onto a Tonnetz.

To see ChordDyn in action, watch the video linked above!

Ratel-Runner

Thu, 28 Aug 2025 00:00:00 +0000

Ratel-Runner is a tool for optimized building and running of Ratel on high-performance computing systems.

Ratel Implicit Material Point Method (iMPM)

Sat, 01 Jun 2024 00:00:00 +0000

Ratel iMPM is a fast, powerful material point method solver implemented in the Ratel application, capable of simulating billions of material points on thousands of GPUs.

Arc Length Continuation in PETSc

Tue, 07 May 2024 00:00:00 +0000

Abstract:

Traditional Newton methods with load and displacement control are unable to solve problems with limit points, bifurcations, and snap-through instabilities. Arc-length continuation methods are a powerful tool for solving these problems, but are not natively supported in PETSc (Portable, Extensible Toolkit for Scientific Computation). This work implements two arc-length continuation methods in PETSc: Crisfield’s method with partial corrections and the normal-plane constraint method. Due to the composable nature of PETSc solvers, these methods can be used as a replacement for pseudo-time stepping approaches to static problems or as a composed solver for quasistatic and dynamic problems with time integration. To support the latter, this work implements a novel method for bounding the load parameter with a hybrid arc-length and Newton method in the final increment. The implementations are verified using a 3D large deformation buckling test, where they outperform the standard Newton method with pseudo-time stepping in terms of convergence and accuracy.

See the and !

libCEED

Thu, 26 Oct 2023 00:00:00 +0000

libCEED is a fast and portable matrix-free finite element code. It allows the same kernels to be run on CPU and GPU without rewriting source code.

My contributions include assembly of at-points operators on GPU, a necessary feature for Ratel iMPM, and various performance and usability enhancements.