Mesh Adaptivity and Optimal Shape Design for Aerospace

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Abstract

Optimal shape design in the presence of shocks requires sophisticated mesh generator with adaptivity. We report here on the use of goal-oriented meshes combined with optimal shape design. The adaptivity uses an adjoint which we can calculate either by discretization of the analytical formulae or by automatic differentiation. We discuss the validity of both approaches and show some results.

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Alauzet, F., Mohammadi, B., & Pironneau, O. (2012). Mesh Adaptivity and Optimal Shape Design for Aerospace. In Springer Optimization and Its Applications (Vol. 66, pp. 323–337). Springer. https://doi.org/10.1007/978-1-4614-2435-2_14

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