@Article{CiCP-26-5,
author = {Qiong-Ao, Huang and Wei, Jiang and Zhijian, Yang, Jerry},
title = {An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {5},
pages = {1444--1470},
abstract = {<p style="text-align: justify;">In this paper, we propose highly efficient, unconditionally energy-stable numerical schemes to approximate the isotropic phase field model of solid-state dewetting problems by using the invariant energy quadratization (IEQ) method. The phase
field model is governed by the isotropic Cahn-Hilliard equation with degenerate mobilities and dynamic contact line boundary conditions. By using the backward differential formula to discretize temporal derivatives, we construct linearly first- and
second-order IEQ schemes for solving the model. It can be rigorously proved that
these numerical schemes are unconditionally energy-stable and satisfy the total mass
conservation during the evolution. By performing numerical simulations, we demonstrate that these IEQ-based schemes (including the first-order IEQ/BDF1, second-order
IEQ/BDF2) are highly efficient, accurate and energy-stable. Furthermore, many interesting dewetting phenomena (such as the hole dynamics, pinch-off), are investigated
by using the proposed IEQ schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/ 10.4208/cicp.2019.js60.07},
url = {https://global-sci.com/article/79865/an-efficient-and-unconditionally-energy-stable-scheme-for-simulating-solid-state-dewetting-of-thin-films-with-isotropic-surface-energy}
}