@inproceedings{c0249c0cd1494207b2fe97750957882f,
title = "Compatible discrete operator schemes for the steady incompressible stokes and navier–stokes equations",
abstract = "We extend the Compatible Discrete Operator (CDO) schemes to the steady incompressible Stokes and Navier–Stokes equations. The main features of the CDO face-based schemes are recalled: a hybrid velocity discretization with degrees of freedom at faces and cells, a stabilized velocity gradient reconstruction defined on the face-based subcell pyramids, and a discrete pressure attached to the mesh cells. We introduce a discrete divergence operator that will account for the velocity-pressure coupling, and a hybrid discretization of the convection term. The results of several benchmark test cases validate the framework.",
keywords = "CDO, Navier–Stokes, Stokes, Structure-preserving schemes",
author = "J{\'e}r{\^o}me Bonelle and Alexandre Ern and Riccardo Milani",
note = "Publisher Copyright: {\textcopyright} The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.; 9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020 ; Conference date: 15-06-2020 Through 19-06-2020",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-43651-3\_6",
language = "English",
isbn = "9783030436506",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "93--101",
editor = "Robert Kl{\"o}fkorn and Eirik Keilegavlen and Radu, \{Florin A.\} and J{\"u}rgen Fuhrmann",
booktitle = "Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, FVCA 2020",
}