An Application of the Cahn-Hilliard Approach to Smoothed Particle Hydrodynamics
Joint Authors
Huber, M.
Kunz, P.
Säckel, W.
Hirschler, M.
Nieken, U.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The development of a methodology for the simulation of structure forming processes is highly desirable.
The smoothed particle hydrodynamics (SPH) approach provides a respective framework for modeling the self-structuring of complex geometries.
In this paper, we describe a diffusion-controlled phase separation process based on the Cahn-Hilliard approach using the SPH method.
As a novelty for SPH method, we derive an approximation for a fourth-order derivative and validate it.
Since boundary conditions strongly affect the solution of the phase separation model, we apply boundary conditions at free surfaces and solid walls.
The results are in good agreement with the universal power law of coarsening and physical theory.
It is possible to combine the presented model with existing SPH models.
American Psychological Association (APA)
Hirschler, M.& Huber, M.& Säckel, W.& Kunz, P.& Nieken, U.. 2014. An Application of the Cahn-Hilliard Approach to Smoothed Particle Hydrodynamics. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-491225
Modern Language Association (MLA)
Hirschler, M.…[et al.]. An Application of the Cahn-Hilliard Approach to Smoothed Particle Hydrodynamics. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-491225
American Medical Association (AMA)
Hirschler, M.& Huber, M.& Säckel, W.& Kunz, P.& Nieken, U.. An Application of the Cahn-Hilliard Approach to Smoothed Particle Hydrodynamics. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-491225
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491225