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首页> 外文期刊>Advanced Theory and Simulations >Solution to Multiscale and Multiphysics Problems: A Phase-Field Study of Fully Coupled Thermal-Solute-Convection Dendrite Growth
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Solution to Multiscale and Multiphysics Problems: A Phase-Field Study of Fully Coupled Thermal-Solute-Convection Dendrite Growth

机译:解决多尺度和稳定的物理问题:相场研究完全耦合Thermal-Solute-Convection树突增长

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摘要

Solidification process is a complex phase transition problem involving multiscale and multiphysical characteristics. To investigate the complex interaction, a high-performance numerical scheme is developed to explore the thermal-solute-convection interaction during solidification. Al-Cu dendrite growth with the Lewis number approximate to 10(4) and Prandtl number approximate to 10(-2) (or Schmidt number approximate to 10(2)) is simulated and discussed. By constructing a multilevel data structure, this numerical scheme allows the time step magnified by 2-3 orders of magnitude in comparison with that for explicit methods. With the capacity of the acceleration strategy including parallel computing and adaptive mesh refinement, the computing efficiency can be further improved by 2-3 orders of magnitude. The combination of multilevel structure and acceleration strategy makes a problem of up to 10(9) uniform meshes much easier to handle. The coupled governing equations involving the multiscale and multiphysical characteristics are solved with high efficiency and high numerical stability, even when the solid fraction approaches 100%. Both single and multi-dendrite growths are discussed to reveal the effect of the thermal-solute-convection interaction on the large-scale 2D and 3D microstructure evolution. The presence of the liquid flow changes the distribution of both domain temperature and solute component, which changes dendrite morphology and growth dynamics.
机译:凝固过程是一个复杂的阶段涉及到多尺度和过渡问题multiphysical特征。复杂的交互,高性能数值计划开发的探索thermal-solute-convection交互期间凝固。路易斯数近似为10(4)和普朗特近似数到10(2)(或施密特数近似为10(2))是模拟和讨论。通过构造一个多级数据结构,这个数值方案允许时间步放大通过2 - 3数量级相比显式方法。加速策略包括平行计算和自适应网格细化,可以进一步提高了计算效率2 - 3个数量级。多级结构和加速策略10的问题(9)统一的网格更容易处理。涉及多尺度和方程multiphysical特征与解决高效率和高数值稳定,即使固体比例接近100%。单和multi-dendrite增生披露的影响进行讨论thermal-solute-convection交互的大规模的2 d和3 d微观结构演化。液体流量变化的存在域温度和分布溶质组件,它改变树突形态和生长动力学。

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