Abstract
This paper presents an adjoint-based shape optimization method for heat transfer processes involving liquid-solid phase-change phenomena. We have formulated an adjoint-based shape optimization scheme using the enthalpy method. With the present method, the fin shape can be optimized for enhanced solidification process, in which the liquid is solidified through heat conduction. Based on a meshless local Petrov-Galerkin (MLPG) method, the characteristics of the present shape-optimization method have been examined through analyses with different terminal time in the cost functional and the initial fin geometries.
