hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects

作者：Jin D; Ledger P D^*; Gil A J

来源：Computers & Structures, 2016, 164: 161-180.

DOI：10.1016/j.compstruc.2015.11.008

• Magnetohydrodynamics
• Coupled problems
• hp-Finite elements
• Magnetostriction

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.

• 出版日期2016-2