Multi-scale crystal growth computations via an approximate block Newton method

Andrew Yeckel, Lisa Lun, Jeffrey J. Derby

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Multi-scale and multi-physics simulations, such as the computational modeling of crystal growth processes, will benefit from the modular coupling of existing codes rather than the development of monolithic, single-application software. An effective coupling approach, the approximate block Newton approach (ABN), is developed and applied to the steady-state computation of crystal growth in an electrodynamic gradient freeze system. Specifically, the code CrysMAS is employed for furnace-scale heat transfer computations and is coupled with the code Cats2D to calculate melt fluid dynamics and phase-change phenomena. The ABN coupling strategy proves to be vastly more reliable and cost efficient than simpler coupling methods for this problem and is a promising approach for future crystal growth models.

Original languageEnglish (US)
Pages (from-to)1463-1467
Number of pages5
JournalJournal of Crystal Growth
Volume312
Issue number8
DOIs
StatePublished - Apr 1 2010

Keywords

  • A1. Approximate Newton methods
  • A1. Block Gauss-Seidel methods
  • A1. Crystal growth
  • A1. Modular iterations
  • A1. Multiphysics coupling
  • A1. Multiscale coupling

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