Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions . Lee, S. & Salgado, A. J. Computer Methods in Applied Mechanics and Engineering , 309:307 - 324, 2016.
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions  [link]Paper  doi  abstract   bibtex   
We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a rotational version of the grad-div stabilized scheme of Bonito et al. (2015). This scheme turns out to be unconditionally stable, provided the stabilization parameter is suitably chosen. We also establish a conditional stability result for the boundary correction scheme presented in Bansch (2014). These results are shown by employing the equivalence between stabilized gauge Uzawa methods and rotational pressure correction schemes with traction boundary conditions.
@article{LeeSal2016,
title = "Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "309",
number = "",
pages = "307 - 324",
year = "2016",
note = "",
issn = "0045-7825",
doi = "http://dx.doi.org/10.1016/j.cma.2016.05.043",
url = "http://www.sciencedirect.com/science/article/pii/S0045782516304923",
author = "Sanghyun Lee and Abner J. Salgado",
keywords = {Projection method, Open and traction boundary conditions,
            Fractional time stepping, Navier-Stokes},
abstract = "We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a rotational version of the grad-div stabilized scheme of Bonito et al. (2015). This scheme turns out to be unconditionally stable, provided the stabilization parameter is suitably chosen. We also establish a conditional stability result for the boundary correction scheme presented in Bansch (2014). These results are shown by employing the equivalence between stabilized gauge Uzawa methods and rotational pressure correction schemes with traction boundary conditions. "
}

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