PARAMETRIC REDUCED ORDER MODELLING OF LARGE-SCALE AEROELASTIC SYSTEM AND RAREFIED FLOW SYSTEM

Abstract

In numerical simulations of aeroelastic system and rarefied flow system, physical domain is spatially discretized into a huge number of computational units with very high resolution, forming a large group of equations. The scale of aeroelastic model and rarefied flow model usually ranges from 10e4 to 10e7 (for 2D cases and even higher 3D cases). On top of that, these large-scale systems are often associated with parameter spaces, making the simulations even time-consuming. In this thesis, we will develop Reduced Order Model (ROM) and Parametric Reduced Order Model (PROM) of aeroelastic system and rarefied flow system. The resulting ROM&PROM can reduce the scale of the systems to 10e2~10e3, while maintaining a very high accuracy. Therefore, the ROM&PROM can greatly speed-up the numerical simulations of such systems in presence of parameter variations in dynamic pressure, Mach number and Knudsen number.