Reduced Order Modeling (ROM)

 Reduced order modeling (ROM) is a technique for reducing the computational complexity of simulations by using dimensionality reduction method such as proper orthogonal decomposition (POD). ROM can be categorized into intrusive ROM and non-intrusive ROM depending on whether the method changes the governing equation. In AVDL, non-intrusive ROM was employed for aircraft icing application because the simulation of icing involves the complex PDEs system such as Navier-Stokes equation, droplet trajectory equation, and shallow water equation. Non-intrusive ROM considers the numerical simulation as a black-box function and constructs a cheap-to-evaluate model with the input/output datasets. ROM has the capability to reconstruct high-dimensional data such as the distribution of collection efficiency and heat transfer coefficient, and the coordinate of ice configuration.

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• Figure 1. Design of Hybrid Airfoil via Reduced Order Modeling

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• Figure 2. Exploration of Appendix C via Local Reduced Order Modeling