Investigations on boundary temperature control analysis considering a moving body based on the adjoint variable and the fictitious domain finite element methods

Abstract

SUMMARYThis paper presents an examination of moving-boundary temperature control problems. With a movingboundary problem, a finite-element mesh is generated at each time step to express the position of the boundary. On the other hand, if an overlapped domain, that is, comprising foreground and background meshes, is prepared, the moving boundary problem can be solved without mesh generation at each time step by using the fictitious domain method. In this study, boundary temperature control problems with a moving boundary are formulated using the finite element, the adjoint variable, and the fictitious domain methods, and several numerical experiments are carried out.