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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v7.i6.40
pages 523-543

Numerical Solutions of Some Diffuse Interface Problems: The Cahn-Hilliard Equation and the Model of Thomas and Windle

F. J. Vermolen
Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
M. Gholami Gharasoo
Helmholz Zentrum fur Umweltforschung, Permoserstr. 15, 04318, Leipzig, Germany
Pacelli L.J. Zitha
Delft University of Technology Faculty of Civil Engineering and Geosciences Department of Geotechnology Stevingweg 1, 2628 CN Delft The Netherlands
J. Bruining
Department of Geotechnology, Delft University of Technolgy, Stevinweg 1, 2628 CN Delft, The Netherlands

RÉSUMÉ

We consider partial differential equations with a suddenly changing parameter. The equations that we study are the Cahn-Hilliard equation, for binary and multicomponent mixtures (i.e., vector Cahn-Hilliard equations), and a stress-enhanced diffusion equation. Numerical strategies to solve these equations are analyzed in terms of discretization and time integration. Results are presented and form the basis for further research. Next to the numerical analysis, we consider some analytic properties such as mass conservation and decrease of energy.

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