Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows

@article{Ingimarson2021FullAR,
  title={Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows},
  author={Sean Ingimarson and Leo G. Rebholz and Traian Iliescu},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.06749}
}

On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods

It is proved that an additional error term appears in this case, compared with the case in which the same discretization of the nonlinear term is applied for both the FOM and the POD methods.

Consistency of the full and reduced order models for evolve‐filter‐relax regularization of convection‐dominated, marginally‐resolved flows

This paper investigates the role of numerical stabilization in reduced order models (ROMs) of convection-dominated, marginally-resolved flows and investigates the FOM-ROM consistency, i.e., whether the numerical stabilization is beneficial both at the Fom and the ROM level.

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