TY - GEN

T1 - Solution of the two-dimensional inverse Stefan design problem with the adjoint method

AU - Kang, Shinill

AU - Zabaras, Nicholas

N1 - Copyright:
Copyright 2004 Elsevier B.V., All rights reserved.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0027848433

SN - 0791806944

T3 - Proceedings of the 1st International Conference on Inverse Problems in Engineering

SP - 315

EP - 322

BT - Proceedings of the 1st International Conference on Inverse Problems in Engineering

PB - Publ by ASME

T2 - Proceedings of the 1st International Conference on Inverse Problems in Engineering: Theory and Practice

Y2 - 13 June 1993 through 18 June 1993

ER -