Abstract
We present a new approach for the computation of shape sensitivities using the discrete adjoint and flow-sensitivity methods on Cartesian meshes with general polyhedral cells (cutcells) at the wall boundaries. By directly linearizing the cut-cell geometric constructors of the mesh generator, an ecient and robust computation of shape sensitivities is achieved. We show that the error convergence rate of the flow solution and its sensitivity, as well as the objective function and its gradient is consistent with the second-order spatial discretization of the three-dimensional Euler equations. The performance of the approach is demonstrated for an airfoil optimization problem in transonic flow, and a CAD-based shape optimization of a reentry capsule in hypersonic flow. The approach is well-suited for conceptual design studies where fast turn-around time is required.
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