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An Explicit-implicit Time Stepping Scheme For Solidification Models

机译:凝固模型的显式-隐式时间步进方案

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摘要

A numerical scheme with hybrid explicit and implicit time stepping in solidification problems is presented. An explicit time stepping scheme is used for solving coupled temperature and concentration fields, while an implicit scheme is used for solving equations of motion. The explicit approach results in a local point-by-point coupling scheme for the temperature and concentration fields that uses constitutive model for back diffusion in solid. The present method offers distinct advantages of simplicity and flexibility in incorporation of micro-scale models, as demonstrated by the use of a back diffusion parameter in the microsegregation model. Results from the present method are compared with those in the literature using a fully implicit method, and they show significant improvement in final macrosegregation prediction.
机译:提出了在凝固问题中具有混合显式和隐式时间步长的数值方案。显式时间步进方案用于求解温度和浓度场耦合,而隐式方案用于求解运动方程。该显式方法导致了温度和浓度场的局部点对点耦合方案,该方案使用本构模型进行固体中的反向扩散。如通过在微偏析模型中使用反向扩散参数所证明的,本方法提供了结合微型模型的简单性和灵活性的独特优势。使用完全隐式方法将本方法的结果与文献中的结果进行比较,它们显示出最终宏偏析预测的显着改善。

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