A numerical study of unsteady, thermal, glass fiber drawing processes
Authors
Zhou, Hong
Forest, M. G.
Subjects
MacCormack scheme
flux limiting
thermal glass fiber drawing
flux limiting
thermal glass fiber drawing
Advisors
Date of Issue
2005
Date
2005
Publisher
Language
Abstract
An efficient second-order stable numerical method is presented to solve the model partial differential equations of thermal glass fiber processing. The physical process and structure of the model equations are described first. The numerical issues are then clarified. The heart of our method is a MacCormack scheme with flux limiting. The numerical method is validated on a linearized isothermal model and by comparison with known exact stationary solutions. The numerical method is then generalized to solve the equations of motion of thermal glass fiber drawing, exhibiting order of convergence. Further, the nonlinear PDE scheme is benchmarked against an independent linearized stability analysis of boundary value solutions near the onset of instability, which demonstrates the efficiency of the method.
Type
Article
Description
The article of record as published may be located at http://www.intlpress.com/CMS/p/2005/issue3-1/CMS-3-1-27-45.pdf
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Communications in Mathematical Sciences / Volume 3, Issue 1, 27-45
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.