### 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 language | English |
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Title of host publication | Proceedings of the 1st International Conference on Inverse Problems in Engineering |

Publisher | Publ by ASME |

Pages | 315-322 |

Number of pages | 8 |

ISBN (Print) | 0791806944 |

Publication status | Published - 1993 |

Event | Proceedings of the 1st International Conference on Inverse Problems in Engineering: Theory and Practice - Palm Coast, FL, USA Duration: 1993 Jun 13 → 1993 Jun 18 |

### Publication series

Name | Proceedings of the 1st International Conference on Inverse Problems in Engineering |
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### Other

Other | Proceedings of the 1st International Conference on Inverse Problems in Engineering: Theory and Practice |
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City | Palm Coast, FL, USA |

Period | 93/6/13 → 93/6/18 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

*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.