%0 Journal Article %1 citeulike:8884165 %A Poux, A. %A Glockner, S. %A Azaïez, M. %D 2011 %J Journal of Computational Physics %K 76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations %N 10 %P 4011--4027 %R 10.1016/j.jcp.2011.02.024 %T Improvements on open and traction boundary conditions for Navier–Stokes time-splitting methods %U http://dx.doi.org/10.1016/j.jcp.2011.02.024 %V 230 %X We present in this paper a numerical scheme for incompressible Navier–Stokes equations with open and traction boundary conditions, in the framework of pressure-correction methods. A new way to enforce this type of boundary condition is proposed and provides higher pressure and velocity convergence rates in space and time than found in the present state of the art. We illustrate this result by computing some numerical and physical tests. In particular, we establish reference solutions of a laminar flow in a geometry where a bifurcation takes place and of the unsteady flow around a square cylinder.

@article{citeulike:8884165, abstract = {{We present in this paper a numerical scheme for incompressible Navier–Stokes equations with open and traction boundary conditions, in the framework of pressure-correction methods. A new way to enforce this type of boundary condition is proposed and provides higher pressure and velocity convergence rates in space and time than found in the present state of the art. We illustrate this result by computing some numerical and physical tests. In particular, we establish reference solutions of a laminar flow in a geometry where a bifurcation takes place and of the unsteady flow around a square cylinder.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Poux, A. and Glockner, S. and Aza\"{i}ez, M.}, biburl = {https://www.bibsonomy.org/bibtex/2681629805c282196107518113aeaab7e/gdmcbain}, citeulike-article-id = {8884165}, citeulike-attachment-1 = {poux_11_improvements.pdf; /pdf/user/gdmcbain/article/8884165/702510/poux_11_improvements.pdf; df2c19e33b0e735de911403fcb18bee6bc6647bb}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jcp.2011.02.024}, day = 22, doi = {10.1016/j.jcp.2011.02.024}, file = {poux_11_improvements.pdf}, interhash = {8c6f9568f2c05189caad506b6da8c1a5}, intrahash = {681629805c282196107518113aeaab7e}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations}, month = may, number = 10, pages = {4011--4027}, posted-at = {2011-09-23 03:35:09}, priority = {2}, timestamp = {2019-02-27T00:52:30.000+0100}, title = {{Improvements on open and traction boundary conditions for Navier–Stokes time-splitting methods}}, url = {http://dx.doi.org/10.1016/j.jcp.2011.02.024}, volume = 230, year = 2011 }