Strategies for the coupling of global and local crystal growth models

Jeffrey J. Derby, Lisa Lun, Andrew Yeckel

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The modular coupling of existing numerical codes to model crystal growth processes will provide for maximum effectiveness, capability, and flexibility. However, significant challenges are posed to make these coupled models mathematically self-consistent and algorithmically robust. This paper presents sample results from a coupling of the CrysVUn code, used here to compute furnace-scale heat transfer, and Cats2D, used to calculate melt fluid dynamics and phase-change phenomena, to form a global model for a Bridgman crystal growth system. However, the strategy used to implement the CrysVUn-Cats2D coupling is unreliable and inefficient. The implementation of under-relaxation within a block Gauss-Seidel iteration is shown to be ineffective for improving the coupling performance in a model one-dimensional problem representative of a melt crystal growth model. Ideas to overcome current convergence limitations using approximations to a full Newton iteration method are discussed.

Original languageEnglish (US)
Pages (from-to)114-123
Number of pages10
JournalJournal of Crystal Growth
Volume303
Issue number1 SPEC. ISS.
DOIs
StatePublished - May 1 2007

Keywords

  • A1. Computer simulation
  • A1. Directional solidification
  • A1. Heat transfer
  • A2. Bridgman technique
  • A2. Growth from melt

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