Journal article 1652 views 216 downloads
hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
D. Jin,
Paul Ledger,
Antonio Gil 
Computers & Structures, Volume: 164, Pages: 161 - 180
Swansea University Authors:
Paul Ledger, Antonio Gil
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...
| Published in: | Computers & Structures |
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| ISSN: | 0045-7949 |
| Published: |
2016
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa25085 |
| 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. |
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| Keywords: |
Magnetohydrodynamics; Coupled problems; hp-Finite elements; Magnetostriction |
| College: |
Faculty of Science and Engineering |
| Start Page: |
161 |
| End Page: |
180 |