Аннотация
The current research lacks sufficient studies on optimizing shapes for managing transient heat transfer in building enclosures. This gap is primarily due to numerical challenges in optimizing shapes for this purpose. This article aims to address and bridge these gaps by investigating the energy efficiency of a building wall through the optimization of its external boundary shape. The study assumes two-dimensional transient heat diffusion to represent the physical phenomena in the building facade, considering a third type boundary condition for the outside boundary, including convective and short-wave solar radiation effects. The internal boundary condition is modeled using the Robin boundary condition. The boundary element method is employed to solve the transient heat transfer problem, reducing computational costs while ensuring accuracy. The optimization problem focuses on minimizing the heat losses of the wall by finding optimal parameters for the external boundary. A real case study on a house wall reveals optimal shapes, maintaining the same material quantity as standard flat wall and increasing energy efficiency.