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The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries

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  • Jaemin Shin
  • Yongho Choi
  • Junseok Kim

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.

Suggested Citation

  • Jaemin Shin & Yongho Choi & Junseok Kim, 2019. "The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:1710270
    DOI: 10.1155/2019/1710270
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