Numerical Methods for the Maxey-Riley-Gatignol Equations

First release of a trajectory generation framework for training universal differential equations (UDEs) to approximate the Basset (history) force in the Maxey–Riley–Gatignol equations.

This repository provides trajectory generation based on the full Maxey–Riley–Gatignol equations for two types of fluid fields: a synthetic vortex field and an experimental field derived from interpolated measurement data. The interpolation routines are included as part of the codebase.

The implementation is available in both Python and Julia.

This repository contains the software accompanying the preprint:

Sommer, Rathi, Götschel, Ruprecht, “Approximation of the Basset force in the Maxey–Riley–Gatignol equations via universal differential equations”, preprint, tba.