Large-scale numerical analysis of materials processing systems: High-temperature crystal growth and molten glass flows

Jeffrey J. Derby, Simon Brandon, Andrew G. Salinger, Qiang Xiao

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We present Galerkin finite element computations of heat transfer and fluid dynamics in high-temperature materials processing systems. Examples are presented of how large-scale numerical simulations have been used to gain insight into the workings of several processes, specifically the growth of large, single crystals and the flow characteristics of molten glass. These systems are characterized by nonlinear interactions between field and interfacial phenomena - the transport of momentum, heat and mass and effects of solidification and capillarity. Additional complications are caused by the effects of internal radiative energy transport within participating media (internal radiation).

Original languageEnglish (US)
Pages (from-to)69-89
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Issue number1-4
StatePublished - Feb 1994

Bibliographical note

Funding Information:
This paper is basedo n a presentationg ivenat the US-Japan Symposiumo n Finite Element Methods in Large-Scale ComputationalF luid Dynamics, Minnesota SupercomputerI nstitute and Army High Performance Computing Research Center, Minneapolis, MN, 12-14 October 1992.T he authors are grateful to the Microgravity SciencesP rogram of the National Aeronautics and Space Administration, the Minnesota SupercomputerIn stitute, and the Army High PerformanceC omputingR esearchC enter (AHPCRC), under the auspiceso f Army Research Office contract number DAALO3-89-~-~38, for partial supporto f this research.J JD also acknowledgess upportf rom the McKnight Foundation through a McKni~t-Land Grant Professorshipa nd the National Science Foundation through a Presidential Young InvestigatorA ward. AGS acknowledgess upport from the NSF Graduate Fellowship program and the HPC Graduate Fellowship program, awardedt hrough the AHPCRC.

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