A second-order accurate modular algorithm is presented for a standard BDF2 code for the Navier-Stokes equations (NSE). The algorithm exhibits resistance to solver breakdown and increased computational efficiency for increasing values of grad-div parameters. We provide a complete theoretical analysis of the algorithms stability and convergency. Computational tests are performed and illustrate the theory and advantages over monolithic grad-div stabilizations.
@article{arxiv.1806.10750,
title = {Numerical analysis of a bdf2 modular grad-div Stabilization method for the Navier-Stokes equations},
author = {Y. Rong and J. A. Fiordilino},
journal= {arXiv preprint arXiv:1806.10750},
year = {2018}
}