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

D. Jin, Paul Ledger, Antonio Gil Orcid Logo

Computers & Structures, Volume: 164, Pages: 161 - 180

Swansea University Authors: Paul Ledger, Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.compstruc.2015.11.008

Abstract

We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin 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 computation...

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Published in: Computers & Structures
ISSN: 0045-7949
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa25085
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Abstract: We extend our existing hp-finite element framework for non-conducting magnetic fluids (Jin 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.
Keywords: Magnetohydrodynamics; Coupled problems; hp-Finite elements; Magnetostriction
College: Faculty of Science and Engineering
Start Page: 161
End Page: 180

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