Triply periodic minimal surface using a modified Allen–Cahn equation

作者：

Highlights：

• We present a fast and efficient model for triply periodic minimal surface by using a modified Allen–Cahn equation.

• The proposed numerical method with second order accuracy of time and space exhibits excellent stability.

• Various numerical experiments are performed to show the accuracy and robustness of the proposed method.

摘要

•We present a fast and efficient model for triply periodic minimal surface by using a modified Allen–Cahn equation.•The proposed numerical method with second order accuracy of time and space exhibits excellent stability.•Various numerical experiments are performed to show the accuracy and robustness of the proposed method.

论文关键词：Triply periodic minimal surface,Modified Allen-Cahn,Volume fraction conservation,Multigrid method,Second order accuracy

论文评审过程：Received 6 April 2015, Revised 13 January 2016, Accepted 3 October 2016, Available online 18 October 2016, Version of Record 18 October 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.10.005