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Solution of the equilibrium problem in electromagnetic casting considering a solid inclusion in the melt

Author

Listed:
  • Canelas, Alfredo
  • Pereira, Antonio
  • Roche, Jean R.
  • Brancher, Jean P.

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.

Suggested Citation

  • Canelas, Alfredo & Pereira, Antonio & Roche, Jean R. & Brancher, Jean P., 2019. "Solution of the equilibrium problem in electromagnetic casting considering a solid inclusion in the melt," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 160(C), pages 126-137.
    • Handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:126-137
    DOI: 10.1016/j.matcom.2018.12.009
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    References listed on IDEAS

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    1. Grigori Chapiro & Angel E. R. Gutierrez & José Herskovits & Sandro R. Mazorche & Weslley S. Pereira, 2016. "Numerical Solution of a Class of Moving Boundary Problems with a Nonlinear Complementarity Approach," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 534-550, February.
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