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

Jin, D.; Ledger, P.D.; Gil, A.J.

Abstract

The first computational treatment of magnetostritive effects in conducting fluids.Consistent linearisation of the coupled non-linear equations.Computational solution using Newton-Raphson and hp-finite elements.Benchmarking against problems with homogeneous material parameters.Simulation of complex flow problems with non-homogeneous material parameters. 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.

Citation

Jin, D., Ledger, P., & Gil, A. (2016). hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects. Computers and Structures, 164, 161-180. https://doi.org/10.1016/j.compstruc.2015.11.008

• Journal Article Type: Article
• Acceptance Date: Feb 1, 2016
• Publication Date: 2016-02
• Deposit Date: Jun 12, 2023
• Journal: Computers & Structures
• Print ISSN: 0045-7949
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 164
• Pages: 161-180
• DOI: https://doi.org/10.1016/j.compstruc.2015.11.008
• Keywords: Computer Science Applications; Mechanical Engineering; General Materials Science; Modeling and Simulation; Civil and Structural Engineering
• Additional Information: This article is maintained by: Elsevier; Article Title: hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects; Journal Title: Computers & Structures; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.compstruc.2015.11.008; Content Type: article; Copyright: Copyright © 2015 The Authors. Published by Elsevier Ltd.