Summary: This paper is a short and nonexhaustive survey of some recent developments in optimal shape design (OSD) for fluids. OSD is an interesting field both mathematically and for industrial applications. Existence, sensitivity, and compatibility of discretizations are important theoretical issues. Efficient algorithmic implementations with low complexity are also critical. We discuss topological optimization, algorithmic differentiation, gradient smoothers, computer aided design (CAD)-free platforms and shock differentiation; all these are applied to a multicriterion optimization for a supersonic business jet.
For the entire collection see [Zbl 1048.76003].