An Uncertainty Quantification approach to assess geometry-optimization research spaces through Karhunen-Loeve Expansion

UQ is exploited to assess geometry-optimization research spaces and support the design of the optimization task. A set of prescribed geometries defines the research space through morphing. Karhunen-Loeve Expansion gives the total geometric variance and the geometric variability of each principal direction. This is used to compare different spaces and reduce their dimension and the computational costs. Finally, UQ methods identify the statistical properties of the relevant objectives. Hydrodynamic application in ship design is presented.