A fully coupled finite element formulation for liquid-solid-gas thermo-fiuid flow with melting and solidification
A fully coupled finite element formulation for liquid-solid-gas thermo-fiuid flow with melting and solidification
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DOI：
10.1016/j.cma.2018.03.017
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发表时间：
2018-07-01
影响因子：
7.2
通讯作者：
Wagner, G. J.
中科院分区：
文献类型：
--
作者：
Yan, J.;Yan, W.;Wagner, G. J.
许多重要的工业过程，例如增材制造，涉及气相、液相和固相之间的快速质量、流动和热传输。各种相关的挑战，例如气体和冷凝相之间的大密度比，使得这些过程的准确，鲁棒的热多相流模拟非常困难。为了解决一些相关的挑战，热多相流的计算框架开发的有限元法（FEM）的基础上。采用了与制造业中广泛使用的模型相似的热多相流统一模型。将水平集方法与基于残差的变分多尺度方法（RBVMS）相结合，求解热多相流的控制方程。固相和液相之间的相变，即，熔化和固化。界面力，包括表面张力和Marangom应力，考虑和处理的密度缩放的连续表面力模型。一个强大的完全耦合的解决方案的战略是通过处理与热多相流模拟的各种数值困难，并通过使用灵活的GMRES的无矩阵技术实现。详细描述了数学公式及其算法实现。四个数值测试的情况下，证明所提出的配方的能力。第一种情况是铝在石墨模具中固化的基准示例，第二种情况是热毛细液滴迁移问题，第三种情况是点激光熔化问题，第四种情况是具有内部气泡的金属的熔化。计算结果与分析，实验和模拟数据从其他研究人员相比，具有良好的协议的情况下，这些数据是可用的。(C)2018爱思唯尔B.V.保留所有权利。
Many important industrial processes, such as additive manufacturing, involve rapid mass, flow and heat transport between gas, liquid and solid phases. Various associated challenges, such as the large density ratio between gas and condensed phases, make accurate, robust thermal multi-phase flow simulations of these processes very difficult. In order to address some of the associated challenges, a computational framework for thermal multi-phase flows is developed based on the finite element method (FEM). A unified model for thermal multi-phase flows similar to the models widely used in the manufacturing community is adopted. The combination of the level-set method and residual-based variational multi-scale formulation (RBVMS) is used to solve the governing equations of thermal multi-phase flows. Phase transitions between solid and liquid phases, i.e., melting and solidification, are considered. Interfacial forces, including surface tension and Marangom stress, are taken into account and handled by a density-scaled continuum surface force model. A robust fully coupled solution strategy is adopted to handle various numerical difficulties associated with thermal multi-phase flow simulations, and implemented by means of a matrix-free technique using Flexible GMRES. The mathematical formulation and its algorithmic implementation are described in detail. Four numerical test cases are presented to demonstrate the capability of the proposed formulation. The first case is a benchmark example of solidification of aluminum in a graphite mold, the second case is a thermo-capillary droplet migration problem, the third case is a spot laser melting problem, and the fourth case is the melting of metal with an interior gas bubble. The computational results are compared with analytical, experimental and simulation data from other researchers, with good agreement in cases where such data is available. (C) 2018 Elsevier B.V. All rights reserved.