2026-09-19T05:23:18Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/350682022-01-13T07:54:33Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
W. Craig Carter.
Handler, Matthew Dane
Massachusetts Institute of Technology. Dept. of Materials Science and Engineering.
Massachusetts Institute of Technology. Department of Materials Science and Engineering
2006-12-18T20:01:50Z
2006-12-18T20:01:50Z
2006
2006
http://hdl.handle.net/1721.1/35068
71230060
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2006.
Includes bibliographical references (leaves 35-37).
Implicit, explicit and spectral algorithms were used to create Allen-Cahn and Cahn-Hilliard phase field models. Individual terms of the conservation equations were approached by different methods using operator splitting techniques found in previous literature. In addition, dewetting of gold films due to surface diffusion was modeled to present the extendability and efficiency of the spectral methods derived. The simulations developed are relevant to many real systems and are relatively light in computational load because they take large time steps to drive the model into equilibrium. Results were analyzed by their relevancy to real world applications and further work in this field is outlined.
by Matthew Dane Handler.
S.B.
37 leaves
1675815 bytes
1675298 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Materials Science and Engineering.
Development of stable operator splitting numerical algorithms for phase-field modeling and surface diffusion applications
Thesis
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