NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
A Chebyshev Collocation Method for Moving Boundaries, Heat Transfer, and Convection During Directional SolidificationFree and moving boundary problems require the simultaneous solution of unknown field variables and the boundaries of the domains on which these variables are defined. There are many technologically important processes that lead to moving boundary problems associated with fluid surfaces and solid-fluid boundaries. These include crystal growth, metal alloy and glass solidification, melting and name propagation. The directional solidification of semi-conductor crystals by the Bridgman-Stockbarger method is a typical example of such a complex process. A numerical model of this growth method must solve the appropriate heat, mass and momentum transfer equations and determine the location of the melt-solid interface. In this work, a Chebyshev pseudospectra collocation method is adapted to the problem of directional solidification. Implementation involves a solution algorithm that combines domain decomposition, finite-difference preconditioned conjugate minimum residual method and a Picard type iterative scheme.
Document ID
19970007190
Acquisition Source
Marshall Space Flight Center
Document Type
Reprint (Version printed in journal)
Authors
Zhang, Yiqiang
(Alabama Univ. Huntsville, AL United States)
Alexander, J. I. D.
(Alabama Univ. Huntsville, AL United States)
Ouazzani, J.
(Alabama Univ. Huntsville, AL United States)
Date Acquired
August 17, 2013
Publication Date
January 1, 1994
Publication Information
Publication: Int. J. Num. Meth. Heat Fluid Flow
Publisher: Pineridge Press Ltd.
Volume: 4
ISSN: 0264-4401
Subject Category
Solid-State Physics
Report/Patent Number
NASA-CR-203148
NAS 1.26:203148
Accession Number
97N70536
Funding Number(s)
CONTRACT_GRANT: NAG8-790
Distribution Limits
Public
Copyright
Public Use Permitted.
Document Inquiry

Available Downloads

There are no available downloads for this record.
No Preview Available