A Numerical Analysis of the Cahn-Hilliard Equation by the Finite Difference Method

DOI 5 Citations 10 References
  • Furihata Daisuke
    Department of Applied Physics, Faculty of Engineering, University of Tokyo
  • Onda Tomohiro
    Department of Applied Physics, Faculty of Engineering, University of Tokyo:(Present address)Kao Institute for Knowledge and Intelligence Science, Kao Corporation
  • Mori Masatake
    Department of Applied Physics, Faculty of Engineering, University of Tokyo

Bibliographic Information

Other Title
  • Cahn-Hilliard方程式の差分法による数値的解析

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Description

A new idea of stability for the finite difference scheme applied to the Cahn-Hilliard equation which describes a phase separation problem is proposed and its validity is verified through numerical experiments. We define the growth rate of the solution of the equation in terms of local Fourier resolution. Then, we introduce a stability based on the localized Fourier resolution for the finite difference scheme by embedding the range of the growth rate of the solution obtained by the scheme into that of the solution of the original equation. Under this stability condition we obtained a stable and reasonable numerical solution of the Cahn-Hilliard equation.

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Details 詳細情報について

  • CRID
    1390001205768428288
  • NII Article ID
    110001883549
  • NII Book ID
    AN10367166
  • DOI
    10.11540/jsiamt.3.3_217
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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