The Cahn-Hilliard Equation with Generalized Mobilities in Complex Geometries

Jaemin Shin, Yongho Choi, Junseok Kim

Research output: Contribution to journalArticle

Abstract

In this study, we apply a finite difference scheme to solve the Cahn-Hilliard equation with generalized mobilities in complex geometries. This method is conservative and unconditionally gradient stable for all positive variable mobility functions and complex geometries. Herein, we present some numerical experiments to demonstrate the performance of this method. In particular, using the fact that variable mobility changes the growth rate of the phases, we employ space-dependent mobility to design a cylindrical biomedical scaffold with controlled porosity and pore size.

Original languageEnglish
Article number1710270
JournalMathematical Problems in Engineering
Volume2019
DOIs
Publication statusPublished - 2019 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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