@Article{CiCP-30-34,
author = {Star , S. KelbijStabile , GiovanniBelloni , FrancescoRozza , Gianluigi and Degroote , Joris},
title = {A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems},
journal = {Communications in Computational Physics},
year = {2021},
volume = {30},
number = {1},
pages = {34--66},
abstract = {<p style="text-align: justify;">A Finite-Volume based POD-Galerkin reduced order model is developed for
fluid dynamics problems where the (time-dependent) boundary conditions are controlled using two different boundary control strategies: the lifting function method,
whose aim is to obtain homogeneous basis functions for the reduced basis space and
the penalty method where the boundary conditions are enforced in the reduced order
model using a penalty factor. The penalty method is improved by using an iterative
solver for the determination of the penalty factor rather than tuning the factor with a
sensitivity analysis or numerical experimentation.<br/>The boundary control methods are compared and tested for two cases: the classical lid driven cavity benchmark problem and a Y-junction flow case with two inlet
channels and one outlet channel. The results show that the boundaries of the reduced
order model can be controlled with the boundary control methods and the same order
of accuracy is achieved for the velocity and pressure fields. Finally, the reduced order
models are 270-308 times faster than the full order models for the lid driven cavity test
case and 13-24 times for the Y-junction test case.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0059},
url = {http://global-sci.org/intro/article_detail/cicp/18873.html}
}