%0 Journal Article %1 citeulike:13665309 %A Zang, Thomas A. %D 1991 %J Applied Numerical Mathematics %K 76m22-spectral-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations 53a45-vector-and-tensor-analysis 74a05-kinematics-of-deformation %N 1 %P 27--40 %R 10.1016/0168-9274(91)90102-6 %T On the Rotation and Skew-Symmetric Forms for Incompressible Flow Simulations %U http://dx.doi.org/10.1016/0168-9274(91)90102-6 %V 7 %X A variety of numerical simulations of transition and turbulence in incompressible flow are presented to compare the commonly used rotation form with the skew-symmetric (and other) forms of the nonlinear terms. The results indicate that the rotation form is much less accurate than the other forms for spectral algorithms which include aliasing errors. For de-aliased methods the difference is minimal.

@article{citeulike:13665309, abstract = {{A variety of numerical simulations of transition and turbulence in incompressible flow are presented to compare the commonly used rotation form with the skew-symmetric (and other) forms of the nonlinear terms. The results indicate that the rotation form is much less accurate than the other forms for spectral algorithms which include aliasing errors. For de-aliased methods the difference is minimal.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Zang, Thomas A.}, biburl = {https://www.bibsonomy.org/bibtex/294217028cec3b2149f6b0a02e617525b/gdmcbain}, citeulike-article-id = {13665309}, citeulike-attachment-1 = {zang_91_rotation.pdf; /pdf/user/gdmcbain/article/13665309/1024903/zang_91_rotation.pdf; e1d8723cbd111c1a1c3a1e39f806a4e81da89687}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0168-9274(91)90102-6}, doi = {10.1016/0168-9274(91)90102-6}, file = {zang_91_rotation.pdf}, interhash = {31bbb9aba597b4c212f9626ca6aa2390}, intrahash = {94217028cec3b2149f6b0a02e617525b}, issn = {01689274}, journal = {Applied Numerical Mathematics}, keywords = {76m22-spectral-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations 53a45-vector-and-tensor-analysis 74a05-kinematics-of-deformation}, month = jan, number = 1, pages = {27--40}, posted-at = {2015-07-06 05:41:28}, priority = {2}, timestamp = {2019-04-16T07:27:09.000+0200}, title = {{On the Rotation and Skew-Symmetric Forms for Incompressible Flow Simulations}}, url = {http://dx.doi.org/10.1016/0168-9274(91)90102-6}, volume = 7, year = 1991 }