A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint

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31 Citations (Scopus)

Abstract

In this paper, we present an accurate and efficient algorithm to generate constant mean curvature surfaces with volume constraint using a phase-field model. We implement our proposed algorithm using an unconditionally gradient stable nonlinear splitting scheme. Starting from the periodic nodal surface approximation to minimal surfaces, we can generate various constant mean curvature surfaces with given volume fractions. We generate and study the Schwarz primitive (P), Schwarz diamond (D), and Schoen gyroid (G) surfaces with various volume fractions. This technique for generating constant mean curvature surfaces can be used to design biomedical scaffolds with optimal mechanical and biomorphic properties.

Original languageEnglish
Pages (from-to)1037-1046
Number of pages10
JournalComputer Physics Communications
Volume181
Issue number6
DOIs
Publication statusPublished - 2010 Jun

Keywords

  • Constant mean curvature
  • Phase-field model
  • Unconditionally gradient stable scheme

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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