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arXiv · 2208.07859

Morpho -- A programmable environment for shape optimization and shapeshifting problems

Chaitanya Joshi·Daniel Goldstein·Cole Wennerholm·Eoghan Downey·Emmett Hamilton·Samuel Hocking·Anca Andrei·James H. Adler·Timothy J. Atherton
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Abstract

An emerging theme across many domains of science and engineering is materials that change shape, often dramatically. Determining their structure involves solving a shape optimization problem where a given energy functional is minimized with respect to the shape of the domain and auxiliary fields describing the structure. Such problems are very challenging to solve and there is a lack of suitable simulation tools that are both readily accessible and general purpose. To address this gap, we present Morpho, an open-source programmable environment, and demonstrate its versatility by showcasing three applications to different areas of soft matter - swelling hydrogels, complex fluids that form aspherical droplets, to soap films and membranes - and advise on broader uses.

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Chaitanya Joshi, Daniel Goldstein, Cole Wennerholm, Eoghan Downey, Emmett Hamilton, Samuel Hocking, Anca Andrei, James H. Adler, Timothy J. Atherton. 2022-08-16. Morpho -- A programmable environment for shape optimization and shapeshifting problems. https://arxiv.org/abs/2208.07859

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