Staggered/Collocated POD-ROM for Unsteady Navier-Stokes Flow

Abstract

Reduced-order model by proper orthogonal decomposition of Navier-Stokes equation can be established in different manners. After careful screening under different sampling intervals and different numbers of basis vectors, it has been found that the model can achieve high precision only when it is constructed on collocated grid with the samples still on the staggered grid. The model straightforwardly established on the staggered grid may lose accuracy apparently. To precisely capture the dynamic behavior of flow field, the sampling interval should be small enough while the number of basis vectors should be moderate. These conclusions can be a valuable principle for future modeling of the dynamics of fluid flow.