Solution of the two-dimensional inverse Stefan design problem with the adjoint method

Shinill Kang, Nicholas Zabaras

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The aim of this work is to calculate the optimum history of boundary cooling conditions that results in a desired solidification morphology and grain size. In the present work, the history of freezing front location/motion is the main control/target variable that is used to define the obtained solidification microstructures. The adjoint method is used in conjunction with the conjugate gradient method for the solution of the multidimensional inverse Stefan design problem. The gradient of the cost functional is first obtained by solving the adjoint equations backward in time and, then, the sensitivity equations are solved forward in time to compute the optimal step size for the gradient method.

Original languageEnglish
Title of host publicationProceedings of the 1st International Conference on Inverse Problems in Engineering
PublisherPubl by ASME
Pages315-322
Number of pages8
ISBN (Print)0791806944
Publication statusPublished - 1993
EventProceedings of the 1st International Conference on Inverse Problems in Engineering: Theory and Practice - Palm Coast, FL, USA
Duration: 1993 Jun 131993 Jun 18

Publication series

NameProceedings of the 1st International Conference on Inverse Problems in Engineering

Other

OtherProceedings of the 1st International Conference on Inverse Problems in Engineering: Theory and Practice
CityPalm Coast, FL, USA
Period93/6/1393/6/18

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Kang, S., & Zabaras, N. (1993). Solution of the two-dimensional inverse Stefan design problem with the adjoint method. In Proceedings of the 1st International Conference on Inverse Problems in Engineering (pp. 315-322). (Proceedings of the 1st International Conference on Inverse Problems in Engineering). Publ by ASME.