%0 Journal Article %1 noauthororeditor %A Smith, Antony %A Silvester, David %D 1997 %J IMA Journal of Numerical Analysis %K 76d05-incompressible-navier-stokes-equations 76m20-finite-difference-methods-in-fluid-mechanics %N 4 %P 527-545 %R 10.1093/imanum/17.4.527 %T Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations %U https://academic.oup.com/imajna/article/17/4/527/688111 %V 17 %X The issue of appropriate time discretization methods for the unsteady incompressible Navier–Stokes equations is considered from a practical perspective. Conventional implicit time-stepping algorithms are not feasible for long-time simulations since they inherit the quadratic nonlinearity of the steady-state equations. As a result, two new linearized versions of the ‘pure’ algorithms are analyzed herein. These have similar stability properties and accuracy comparable to the underlying nonlinear methods.

@article{noauthororeditor, abstract = {The issue of appropriate time discretization methods for the unsteady incompressible Navier–Stokes equations is considered from a practical perspective. Conventional implicit time-stepping algorithms are not feasible for long-time simulations since they inherit the quadratic nonlinearity of the steady-state equations. As a result, two new linearized versions of the ‘pure’ algorithms are analyzed herein. These have similar stability properties and accuracy comparable to the underlying nonlinear methods.}, added-at = {2019-12-18T22:30:33.000+0100}, author = {Smith, Antony and Silvester, David}, biburl = {https://www.bibsonomy.org/bibtex/2ec4ec738d93ba2b907b00f28d869df1d/gdmcbain}, doi = {10.1093/imanum/17.4.527}, interhash = {1991a285ef2505e10be8df4628617fed}, intrahash = {ec4ec738d93ba2b907b00f28d869df1d}, journal = {IMA Journal of Numerical Analysis}, keywords = {76d05-incompressible-navier-stokes-equations 76m20-finite-difference-methods-in-fluid-mechanics}, number = 4, pages = {527-545}, timestamp = {2019-12-18T22:30:33.000+0100}, title = {Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations}, url = {https://academic.oup.com/imajna/article/17/4/527/688111}, volume = 17, year = 1997 }