TY - JOUR T1 - An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy AU - Huang , Qiong-Ao AU - Jiang , Wei AU - Yang , Jerry Zhijian JO - Communications in Computational Physics VL - 5 SP - 1444 EP - 1470 PY - 2019 DA - 2019/08 SN - 26 DO - http://doi.org/ 10.4208/cicp.2019.js60.07 UR - https://global-sci.org/intro/article_detail/cicp/13271.html KW - Solid-state dewetting, surface diffusion, phase-field model, degenerate Cahn-Hilliard equation, invariant energy quadratization, unconditionally energy-stable. AB -

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.