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A Finite-Volume based POD-Galerkin reduced order model is developed for fluiddynamics problems where the (time-dependent) boundary conditions are controlledusing two different boundary control strategies: the lifting function method,whose aim is to obtain homogeneous basis functions for the reduced basis spaceand the penalty method where the boundary conditions are enforced in thereduced order model using a penalty factor. The penalty method is improved byusing an iterative solver for the determination of the penalty factor ratherthan tuning the factor with a sensitivity analysis or numericalexperimentation. The boundary control methods are compared and tested for twocases: the classical lid driven cavity benchmark problem and a Y-junction flowcase with two inlet channels and one outlet channel. The results show that theboundaries of the reduced order model can be controlled with the boundarycontrol methods and the same order of accuracy is achieved for the velocity andpressure fields. Finally, the reduced order models are 270-308 times fasterthan the full order models for the lid driven cavity test case and 13-24 timesfor the Y-junction test case.

A novel iterative penalty method to enforce boundary conditions in Finite Volume POD-Galerkin reduced order models for fluid dynamics problems