固体壁内熱伝導を考慮した凝固促進用フィンの形状最適設計に関する研究

抄録

An adjoint-based shape optimization scheme for solidification problem has been extended to take into account the wall heat conduction. In comparison to the case for the isothermal condition, the shape modification rule formulated in the present study includes an additional term originating from the thermal coupling between the solidification fluid and the solid fin. It is shown through meshless analyses that, under the isothermal condition, tree-like fin shapes of which the topological nature depends on the node density are obtained. On the other hand, the shape modification under the present conjugate condition exhibits a tendency to mitigate the generation of high aspect-ratio structures and regularize the optimization.