%0 Journal Article %1 citeulike:13763202 %A Sirovich, Lawrence %D 1987 %J Quarterly of Applied Mathematics %K 20b25-finite-automorphism-groups-of-algebraic-geometric-structures, 93b11-system-structure-simplification 76f20-dynamical-systems-approach-to-turbulence %N 3 %P 573--582 %T Turbulence and the Dynamics of Coherent Structures. Part II: Symmetries and Transformations %V 45 %X The accurate determination of coherent structures depends on having a sufficiently large database. As we will see in this part, symmetry considerations can considerably extend the amount of available data. In addition, a priori consideration of symmetries can be significant in designing numerical or physical experiments. In the following we outline, on a case by case basis, and sometimes only in brief, the effect of such deliberations for a number of standard geometries. We then show how such data can be transformed for use in related geometries.

@article{citeulike:13763202, abstract = {{The accurate determination of coherent structures depends on having a sufficiently large database. As we will see in this part, symmetry considerations can considerably extend the amount of available data. In addition, a priori consideration of symmetries can be significant in designing numerical or physical experiments. In the following we outline, on a case by case basis, and sometimes only in brief, the effect of such deliberations for a number of standard geometries. We then show how such data can be transformed for use in related geometries.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Sirovich, Lawrence}, biburl = {https://www.bibsonomy.org/bibtex/2936145be029e51fc651d965aa2c5b8a2/gdmcbain}, citeulike-article-id = {13763202}, citeulike-attachment-1 = {sirovich_87_turbulence_1034538.pdf; /pdf/user/gdmcbain/article/13763202/1034538/sirovich_87_turbulence_1034538.pdf; 2d6be5074e643b41bcb9906b8f3e28112be288b1}, file = {sirovich_87_turbulence_1034538.pdf}, interhash = {7700d46bd28030a0d55c5ae9fefb445c}, intrahash = {936145be029e51fc651d965aa2c5b8a2}, journal = {Quarterly of Applied Mathematics}, keywords = {20b25-finite-automorphism-groups-of-algebraic-geometric-structures, 93b11-system-structure-simplification 76f20-dynamical-systems-approach-to-turbulence}, number = 3, pages = {573--582}, posted-at = {2015-09-14 02:56:54}, priority = {0}, timestamp = {2019-06-03T01:23:36.000+0200}, title = {Turbulence and the Dynamics of Coherent Structures. Part {II}: Symmetries and Transformations}, volume = 45, year = 1987 }