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International Journal for Multiscale Computational Engineering
Factor de Impacto: 1.016 Factor de Impacto de 5 años: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN En Línea: 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
Helmholz Zentrum fur Umweltforschung, Permoserstr. 15, 04318, Leipzig, Germany; Delft University of Technology, Department of Geotechnology, 2628 CN Delft, The Netherlands
J. Bruining
Department of Geotechnology, Delft University of Technolgy, Stevinweg 1, 2628 CN Delft, The Netherlands


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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