%0 Generic %1 peters2010geometrical %A Peters, Norbert %A Wang, Lipo %A Mellado, Juan P. %A Goebbert, Jens H. %A Gauding, Michael %A Schaefer, Phillip %A Gampert, Markus %B NIC Symposium 2010, February 24th-25th, Jülich, Germany %D 2010 %K nrev %P 365-373 %T Geometrical Properties Of Small Scale Turbulence %V 3 %X In order to extract small-scale statistical information on turblulent flows from passive scalar fields obtained by direct numerical simulation (DNS), a new method of analysis is introduced. It consists of determining local minimum and maximum points of the fluctuating scalar field via gradient trajectories starting from every grid point in the directions of ascending and descending scalar gradients. The ensemble of grid cells from which the same pair of extremal points is reached determines a spatial region which is called dissipation element. Dissipation elements are highly convoluted and have on average an elongated shape. Their diameter is nearly constant and of the order of a few Kolmogorov scales while the length is highly variable and has a mean of the Taylor length. Since dissipation elements are spacefilling, it is possible to reproduce the overall statistics of the turbulent fields based on the comparably simple statistics of the elements.

@conference{peters2010geometrical, abstract = {In order to extract small-scale statistical information on turblulent flows from passive scalar fields obtained by direct numerical simulation (DNS), a new method of analysis is introduced. It consists of determining local minimum and maximum points of the fluctuating scalar field via gradient trajectories starting from every grid point in the directions of ascending and descending scalar gradients. The ensemble of grid cells from which the same pair of extremal points is reached determines a spatial region which is called dissipation element. Dissipation elements are highly convoluted and have on average an elongated shape. Their diameter is nearly constant and of the order of a few Kolmogorov scales while the length is highly variable and has a mean of the Taylor length. Since dissipation elements are spacefilling, it is possible to reproduce the overall statistics of the turbulent fields based on the comparably simple statistics of the elements.}, added-at = {2013-03-21T15:13:41.000+0100}, author = {Peters, Norbert and Wang, Lipo and Mellado, Juan P. and Goebbert, Jens H. and Gauding, Michael and Schaefer, Phillip and Gampert, Markus}, biburl = {https://www.bibsonomy.org/bibtex/2aa90afcb4e1b27c577c120d78601041a/itv}, booktitle = {NIC Symposium 2010, February 24th-25th, Jülich, Germany}, interhash = {a410bf7a4a81598bbc2740a60498e771}, intrahash = {aa90afcb4e1b27c577c120d78601041a}, keywords = {nrev}, pages = {365-373}, series = {IAS series}, timestamp = {2017-04-25T16:26:57.000+0200}, title = {Geometrical Properties Of Small Scale Turbulence}, volume = 3, year = 2010 }