Pericleous, Koulis A. ORCID: 0000-0002-7426-9999 and Bojarevics, Valdis ORCID: 0000-0002-7326-7748 (2007) Pseudo-spectral solutions for fluid flow and heat transfer in electro-metallurgical applications. Progress in Computational Fluid Dynamics, 7 (2-4). pp. 118-127. ISSN 1468-4349 (doi:https://doi.org/10.1504/PCFD.2007.013004)

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Abstract

The pseudo-spectral solution method offers a flexible and fast alternative to the more usual finite element and volume methods, particularly when the long-time transient behaviour of a system is of interest. The exact solution is obtained at grid collocation points leading to superior accuracy on modest grids. Furthermore, the grid can be freely adapted in time and space to particular flow conditions or geometric variations, especially useful where strongly coupled, time-dependent, multi-physics solutions are investigated. Examples include metallurgical applications involving the interaction of electromagnetic fields and conducting liquids with a free surface. The electromagnetic field determines the instantaneous liquid volume shape, which then affects the electromagnetic field. A general methodology of the pseudo-spectral approach is presented, with several instructive example applications: the aluminium electrolysis MHD problem, induction melting in a cold crucible and the dynamics of AC/DC magnetically levitated droplets. Finally, comparisons with available analytical solutions and to experimental measurements are discussed.

Item Type:	Article
Additional Information:	[1] Progress in Computational Fluid Dynamics, Vol. 7, No. 2-4, is a special issue of the journal containing revised and extended versions of 16 papers selected from 77 that were presented at the 4th International Conference on CFD in the Oil & Gas, Metallurgical and Process Industries (CFD2005), held in Trondheim, Norway from 6–8 June 2005. (See also GALA Item 880 for Conference paper entry).
Uncontrolled Keywords:	spectral methods, free surface, electromagnetic processing, materials processing, electromagnetic levitation, induction melting, aluminium electrolysis, CFD, computational fluid dynamics, fluid flow, heat transfer, electro-metallurgy
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences
Related URLs:	Publisher Organisation Organisation
Last Modified:	27 Apr 2020 22:56
URI:	http://gala.gre.ac.uk/id/eprint/1072

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