Pressure-robustness in the context of optimal control
Optimization and Control
2022-03-07 v1 Numerical Analysis
Numerical Analysis
Abstract
This paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a negative impact on the accuracy of state and control and can only be correctly balanced if their -orthogonality onto discretely divergence-free test functions is restored. Perfectly orthogonal divergence-free discretizations or divergence-free reconstructions of these test functions do the trick and lead to much better analytic a priori estimates that are also validated in numerical examples.
Cite
@article{arxiv.2203.02224,
title = {Pressure-robustness in the context of optimal control},
author = {Christian Merdon and Winnifried Wollner},
journal= {arXiv preprint arXiv:2203.02224},
year = {2022}
}