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Strategies for the coupling of global and local crystal growth models

机译:全球和本地晶体生长模型耦合的策略

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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.
机译:现有数字代码与晶体生长过程模型的模块化耦合将提供最大的有效性,能力和灵活性。但是,要使这些耦合的模型在数学上自洽和算法鲁棒性提出了重大挑战。本文介绍了耦合CrysVUn代码(用于计算炉规模传热)和Cats2D(用于计算熔体流体动力学和相变现象)的示例结果,该模型形成了Bridgman晶体生长系统的全局模型。但是,用于实现CrysVUn-Cats2D耦合的策略不可靠且效率低下。在块高斯-赛德尔迭代中,欠松弛的实现在代表熔体晶体生长模型的模型一维问题中对改善耦合性能是无效的。讨论了使用近似牛顿迭代法来克服电流收敛限制的想法。

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