Computer Algebra for Microhydrodynamics

TL;DR

This paper introduces a computer algebra method tailored for microhydrodynamics calculations, automating complex symbolic manipulations to aid researchers in theoretical fluid dynamics.

Contribution

It presents a novel computer algebra approach that automates laborious microhydrodynamics calculations, with an accompanying code implementation and tutorial.

Findings

Automates complex microhydrodynamics calculations

Provides a practical code implementation and tutorial

Enhances efficiency of symbolic calculations in fluid dynamics

Abstract

I describe a method for computer algebra that helps with laborious calculations typically encountered in theoretical microhydrodynamics. The program mimics how humans calculate by matching patterns and making replacements according to the rules of algebra and calculus. This note gives an overview and walks through an example, while the accompanying code repository contains the implementation details, a tutorial, and more examples. The code repository is attached as supplementary material to this note, and maintained at https://github.com/jeinarsson/matte