TY - GEN
T1 - Solution of the two-dimensional inverse Stefan design problem with the adjoint method
AU - Kang, Shinill
AU - Zabaras, Nicholas
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 -