%0 Book Section %1 citeulike:13619673 %A Rannacher, Rolf %B The Navier-Stokes Equations II — Theory and Numerical Methods %C Berlin %D 1992 %E Heywood, John G. %E Masuda, Kyûya %E Rautmann, Reimund %E Solonnikov, Vsevolod A. %I Springer %K 76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations %P 167--183 %R 10.1007/bfb0090341 %T On Chorin's Projection Method for the Incompressible Navier--Stokes Equations %U http://dx.doi.org/10.1007/bfb0090341 %V 1530 %X Pseudo-compressibility methods are frequently used in computational fluid dynamics in order to cope with the algebraic difficulties caused by the incompressibility constraint. A popular example is the pressure stabilization (Petrov-Galerkin) method of T.J.R. Hughes, et al., which can be applied to the stationary as well as to the nonstationary Navier-Stokes problem. Also the classical projection method of A.J. Chorin can be interpreted as a variant of this method. This observation sheds some new light on the approximation properties of the projection method, particularly for the pressure.

@incollection{citeulike:13619673, abstract = {{Pseudo-compressibility methods are frequently used in computational fluid dynamics in order to cope with the algebraic difficulties caused by the incompressibility constraint. A popular example is the pressure stabilization (Petrov-Galerkin) method of T.J.R. Hughes, et al., which can be applied to the stationary as well as to the nonstationary Navier-Stokes problem. Also the classical projection method of A.J. Chorin can be interpreted as a variant of this method. This observation sheds some new light on the approximation properties of the projection method, particularly for the pressure.}}, added-at = {2017-06-29T07:13:07.000+0200}, address = {Berlin}, author = {Rannacher, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/225527fc215682c180007f05df2fa798b/gdmcbain}, booktitle = {The Navier-Stokes Equations II — Theory and Numerical Methods}, citeulike-article-id = {13619673}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/bfb0090341}, citeulike-linkout-1 = {http://link.springer.com/chapter/10.1007/BFb0090341}, comment = {cited in FreeFem++ manual}, doi = {10.1007/bfb0090341}, editor = {Heywood, John G. and Masuda, Ky\^{u}ya and Rautmann, Reimund and Solonnikov, Vsevolod A.}, interhash = {a9fc8198182122f7dbe08fb9acf35d99}, intrahash = {25527fc215682c180007f05df2fa798b}, issn = {0075-8434}, keywords = {76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations}, location = {Oberwolfach, Germany}, pages = {167--183}, posted-at = {2015-05-20 04:51:25}, priority = {2}, publisher = {Springer}, series = {Lecture Notes in Mathematics}, timestamp = {2019-02-27T00:52:30.000+0100}, title = {On {C}horin's Projection Method for the Incompressible {N}avier--{S}tokes Equations}, url = {http://dx.doi.org/10.1007/bfb0090341}, volume = 1530, year = 1992 }