 Solution of the equilibrium problem in electromagnetic casting considering a solid inclusion in the meltAlfredo Canelas, Antonio Pereira, Jean R. Roche and Jean P. Brancher Mathematics and Computers in Simulation (MATCOM), 2019, vol. 160, issue C, 126-137 Abstract: A new method is proposed for solving the equilibrium problem related to the electromagnetic casting technique. The method is appropriate for the case when part of the metal is in solid state. It is shown that in the presence of solid inclusions the equilibrium equation of the free liquid boundary can be formulated as a complementarity equation. A Newton-like iteration is then proposed to solve the resulting set of nonlinear equations. Results for some numerical examples are presented, showing that in the case of simple configurations the numerical technique proposed finds solutions in good agreement with the analytical solutions presented in the literature. Examples of more complex situations with solid inclusions represented by level set functions are also solved, showing that the proposed algorithm can be reliably used to find equilibrium configurations. Keywords: Electromagnetic casting; Free boundary problem; Equilibrium shape; Nonlinear complementarity problem (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:160:y:2019:i:c:p:126-137 DOI: 10.1016/j.matcom.2018.12.009 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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