Level-set based topology optimization of transient flow using lattice Boltzmann method considering an oscillating flow condition

Abstract Topology optimization is widely applied to various design problems in both structure and fluid dynamics engineering. Specifically, the development of energy dissipation devices with vibration control remains a key consideration. The aim of this study is to improve devices that maximize the absorption or dissipation of the vibration of an oscillating object and propose an approach in which the level set based topology optimization of transient flow using the lattice Boltzmann method is simultaneously applied to forward and reverse direction flows to deal with oscillating flows in real-world engineering designs. Although several studies have examined topology optimization to minimize dissipated kinetic energy, this study introduces an objective function for maximizing the dissipated kinetic energy in time-varying fluid flows via velocity gradients.