Title :
Control of spatio-temporal pattern formation governed by geometrical models of interface evolution
Author :
Bouaru, Adrian ; Coca, Daniel
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield, UK
Abstract :
The paper introduces a novel method for controlling the shape of growth interfaces, such as the boundaries of dendritic crystals, described by a temperature-dependent geometrical evolution law, where the normal velocity of the growing interface depends on both local curvature and temperature. Numerical simulations are provided to demonstrate the control approach.
Keywords :
crystal growth; ecology; dendritic crystals; geometrical models; growth interfaces; interface evolution; local curvature; normal velocity; spatio-temporal pattern formation control; temperature; temperature-dependent geometrical evolution law; Crystals; Level set; Mathematical model; Numerical models; Shape; Solid modeling; Temperature control;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862521