hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
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DOI：
10.1016/j.compstruc.2015.11.008
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发表时间：
2016-02-01
影响因子：
4.7
通讯作者：
Gil, A. J.
中科院分区：
文献类型：
--
作者：
Jin, D.;Ledger, P. D.;Gil, A. J.
我们将现有的非导电磁流体hp-有限元框架（fin et al., 2014）扩展到导电磁流体的处理，包括二维和三维的磁致伸缩效应。特别是，据我们所知，我们提出了导电流体中磁致伸缩效应的第一个计算处理。我们提出了非线性方程耦合系统的一致线性化，并利用牛顿-拉夫逊算法求解得到的离散方程。我们的处理方法允许模拟具有非均匀渗透率和电导率的复杂流动问题，并且，除了针对具有均匀材料参数的问题的既定分析解决方案进行基准测试外，我们还提出了一系列二维和三维多相流的模拟，以显示该方法的预测能力以及包括这些影响的重要性。(C) 2015年作者。Elsevier Ltd.出版。
We extend our existing hp-finite element framework for non-conducting magnetic fluids (fin et al., 2014) to the treatment of conducting magnetic fluids including magnetostriction effects in both two- and three-dimensions. In particular, we present, to the best of our knowledge, the first computational treatment of magnetostrictive effects in conducting fluids. We propose a consistent linearisation of the coupled system of non-linear equations and solve the resulting discretised equations by means of the Newton-Raphson algorithm. Our treatment allows the simulation of complex flow problems, with non-homogeneous permeability and conductivity, and, apart from benchmarking against established analytical solutions for problems with homogeneous material parameters, we present a series of simulations of multiphase flows in two- and three-dimensions to show the predicative capability of the approach as well as the importance of including these effects. (C) 2015 The Authors. Published by Elsevier Ltd.