Speaker：Shengfeng Zhu（East China Normal University）

Time：2022-12-15, 14:30

Location：Tencent Meeting ID：587-894-883（No Password）

Abstract:

Shape design of fluid flows has wide applications in computational fluid mechanics and engineering. We consider shape optimization of incompressible flows with shape gradients. Shape gradients derived by shape sensitivity analysis can be used to construct numerical shape optimization or even topology optimization algorithms. Traditional boundary shape gradients are popularly considered in the shape optimization community. This formula has high smoothness requirement on the boundary and is less general than the distributed shape gradient, which worthy to be investigated numerically. We consider numerically finite element approximations to the distributed and boundary corrected shape gradients. A prior error estimates are shown. Numerical results will be reported to verify theoretical analysis and show effectiveness of the corresponding shape gradient algorithms.