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POD on the fly: an adaptive combination of CFD and POD to simulate complex dynamics

Abstract

Reduced order models is a fashionable field that aims at dramatically reducing the computational cost of standard numerical solvers. Such reduction is possible when the number of physically relevant degrees of freedom is much smaller than the number of `numerical degrees of freedom'. POD on the fly combines  short runs of a standard numerical solver with a low-dimensional system, which is used for the majority of the simulation. The basic ideas of this strategy will be outlined and applications to various fields (including the complex Ginzburg?Landau equation, the unsteady lid?driven cavity, an aero?elastic system, and a subsurface oil?reservoir simulation) briefly reporte

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