Grid Tailored Reduced-Order Models for Steady Hypersonic Aerodynamics*

High-speed aerospace engineering applications rely heavily on computational fluid dynamics (CFD) models for design and analysis due to the expense and difficulty of flight tests and experiments. This reliance on CFD necessitates performing accurate and reliable uncertainty quantification (UQ). However, CFD for hypersonic flows is very computationally expensive due to high grid resolution requirements. Additionally, UQ approaches are “many-query” problems requiring many runs with a wide range of input parameters.

One way to enable computationally expensive models to be used in such many-query problems is to employ projection-based reduced-order models (ROMs) in lieu of the (high-fidelity) full-order model (FOM). However, the linear basis typically used in these approaches can be poorly suited for shock dominated flows.

This talk presents a grid tailored ROM, which uses snapshots from r-adapted FOMs in which the shock position is located at the same grid indices for all snapshots. Grid tailoring improves the ability of the ROM to significantly reduce computational costs while maintaining high levels of accuracy in any quantities of interest. Applications including the HIFiRE-1 flight vehicle will be presented.