Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999 and Bojarevics, V. ORCID: https://orcid.org/0000-0002-7326-7748 (2005) Pseudo-spectral solutions for fluid flow and heat transfer in electro-metallurgical applications. In: Fourth International Conference on CFD in the Oil and Gas, Metallurgical & Process Industries, 6-8 Jun 2005, Trondheim, Norway. (Unpublished)

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Abstract

The pseudo-spectral solution method offers a flexible and fast alternative to the more usual finite element/volume/difference methods, particularly when the long-time transient behaviour of a system is of interest. Since the exact solution is obtained at the grid collocation points superior accuracy can be achieved on modest grid resolution. Furthermore, the grid can be freely adapted with time and in space, to particular flow conditions or geometric variations. This is especially advantageous 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 sutface. The electromagnetic field then determines the instantaneous liquid volume shape and the liquid shape affects in turn the electromagnetic field. In AC applications a thin "skin effect" region results on the free surface that dominates grid requirements. Infinitesimally thin boundary cells can be introduced using Chebyshev polynomial expansions without detriment to the numerical accuracy. This paper presents a general methodology of the pseudo-spectral approach and outlines the solution procedures used. Several instructive example applications are given: the aluminium electrolysis MHD problem, induction melting and stirring and the dynamics of magnetically levitated droplets in AC and DC fields. Comparisons to available analytical solutions and to experimental measurements will be discussed.

Item Type:	Conference or Conference Paper (Paper)
Additional Information:	[1] This paper was presented at the Fourth International Conference on CFD in the Oil and Gas, Metallurgical & Process Industries (CFD2005) held from 6-8 June 2005 SINTEF/NTNU Trondheim, Norway. [2] This paper was subsequently published in Progress in Computational Fluid Dynamics, Vol. 7, No. 2-4, within 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 1072 for this article entry).
Uncontrolled Keywords:	spectral methods, electromagnetic processing of materials, electromagnetic levitation, induction melting
Subjects:	Q Science > QA Mathematics > QA76 Computer software T Technology > TK Electrical engineering. Electronics Nuclear engineering
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:	Organisation
Last Modified:	27 Apr 2020 22:56
URI:	http://gala.gre.ac.uk/id/eprint/880

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