Abstract
To decrease the fluid drag force on the surface of a specified object subjected to unsteady flow, under a constant volume condition, the adjoint variable method is formulated by using FEM. Based on the Lagrange multiplier method (a conditional variational principle), this method consists of the state equation, the adjoint equation and the sensitivity equation. To solve the equations effectively using the steepest descent method, a parallel algorithm is constructed. The shape optimization code for solving a 3D problem using a parallel algorithm was implemented on PC cluster using the HEC-MW library(1). Results show that, by using shape optimization, the fluid drag force located in Reynolds number 250 can be reduced by about 38.1%.
