Dynamic grain models via fast heuristics for diagram representations

Alpers, Andreas ORCID: 0000-0003-0663-6037, Fiedler, Maximilian, Gritzmann, Peter and Klemm, Fabian (2023) Dynamic grain models via fast heuristics for diagram representations. Philosophical Magazine, 103 (10). pp. 1-21.

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Official URL: http://dx.doi.org/10.1080/14786435.2023.2180679

Abstract

The present paper introduces a mathematical model for analysing dynamic grain growth. In particular, we show how the characteristic measurements grain volumes, centroids, and central second-order moments at discrete moments in time can be quickly turned into a continuous description of the grain growth process in terms of geometric diagrams (which largely generalize the well-known Voronoi and Laguerre tessellations). We give a theoretical analysis of common optimization-free heuristics in terms of discriminant analysis and evaluate the computational behaviour of our algorithm on real-world data.

Item Type:	Article
Uncontrolled Keywords:	Power diagrams, generalized balanced power diagrams, tessellations, grains, polycrystals, grain growth
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	06 Mar 2023 08:56
Last Modified:	13 May 2023 08:10
DOI:	10.1080/14786435.2023.2180679
Open Access URL:	https://doi.org/10.1080/14786435.2023.2180679
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3168771