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.
Bibliographical noteFunding Information:
This work has been supported in part by a seed grant from the Minnesota Supercomputing Institute and by the Department of Energy, National Nuclear Security Administration, under Award Numbers DE-FG52-06NA27498 and DE-FG52-08NA28768, the content of which does not necessarily reflect the position or policy of the United States Government, and no official endorsement should be inferred. The authors acknowledge travel support to the Sixth International Workshop on Modeling in Crystal Growth provided by the US National Science Foundation under Grant CBET-0939445.
- A1. Approximate Newton methods
- A1. Block Gauss-Seidel methods
- A1. Crystal growth
- A1. Modular iterations
- A1. Multiphysics coupling
- A1. Multiscale coupling