Simulation of triple junction motion with arbitrary surface tensions

0448809 - MÚ 2016 RIV JP eng J - Článek v odborném periodiku
Shofianah, N. - Muhammad, R. Z. - Švadlenka, Karel
Simulation of triple junction motion with arbitrary surface tensions.
IAENG International Journal of Applied Mathematics. Roč. 45, č. 3 (2015), s. 235-244. ISSN 1992-9978
Institucionální podpora: RVO:67985840
Klíčová slova: triple junction motion * mean curvature flow * surface tension
Kód oboru RIV: BA - Obecná matematika
http://www.iaeng.org/IJAM/issues_v45/issue_3/IJAM_45_3_09.pdf

We simulate triple junction motion that is given by the gradient flow of surface energy with arbitrary surface tensions of the individual interfaces. The foundation of the method is the diffusion-based BMO algorithm in vectorvalued formulation. We modify the original vector-valued BMO method so that it can accommodate motions for any triple of surface tensions leading to the possibility of a nonsymmetric junction. The main idea of the modification is to adjust both the reference vectors and the coefficients in the underlying diffusion system. Moreover, we improve the method by using vector-valued projection triangle and also address the volumepreserving problem. Analysis and numerical results of this generalized vector-valued BMO algorithm are presented.
Trvalý link: http://hdl.handle.net/11104/0250416