2019 

Alessandro Corbetta; Vlado Menkovski; Roberto Benzi; Federico Toschi Deep learning velocity signals allows to quantify turbulence intensity Journal Article arXiv, 2019. Abstract  BibTeX  Tags: condmat.statmech, cs.AI, cs.LG, physics.fludyn @article{046d24a1bab542e983a477781595c64f, title = {Deep learning velocity signals allows to quantify turbulence intensity}, author = {Alessandro Corbetta and Vlado Menkovski and Roberto Benzi and Federico Toschi}, year = {2019}, date = {20190101}, journal = {arXiv}, publisher = {Cornell University Library}, abstract = {Turbulence, the ubiquitous and chaotic state of fluid motions, is characterized by strong and statistically nontrivial fluctuations of the velocity field, over a wide range of length and timescales, and it can be quantitatively described only in terms of statistical averages. Strong nonstationarities hinder the possibility to achieve statistical convergence, making it impossible to define the turbulence intensity and, in particular, its basic dimensionless estimator, the Reynolds number. Here we show that by employing Deep Neural Networks (DNN) we can accurately estimate the Reynolds number within $15%$ accuracy, from a statistical sample as small as two largescale eddyturnover times. In contrast, physicsbased statistical estimators are limited by the rate of convergence of the central limit theorem, and provide, for the same statistical sample, an error at least $100$ times larger. Our findings open up new perspectives in the possibility to quantitatively define and, therefore, study highly nonstationary turbulent flows as ordinarily found in nature as well as in industrial processes.}, keywords = {condmat.statmech, cs.AI, cs.LG, physics.fludyn}, pubstate = {published}, tppubtype = {article} } Turbulence, the ubiquitous and chaotic state of fluid motions, is characterized by strong and statistically nontrivial fluctuations of the velocity field, over a wide range of length and timescales, and it can be quantitatively described only in terms of statistical averages. Strong nonstationarities hinder the possibility to achieve statistical convergence, making it impossible to define the turbulence intensity and, in particular, its basic dimensionless estimator, the Reynolds number. Here we show that by employing Deep Neural Networks (DNN) we can accurately estimate the Reynolds number within $15%$ accuracy, from a statistical sample as small as two largescale eddyturnover times. In contrast, physicsbased statistical estimators are limited by the rate of convergence of the central limit theorem, and provide, for the same statistical sample, an error at least $100$ times larger. Our findings open up new perspectives in the possibility to quantitatively define and, therefore, study highly nonstationary turbulent flows as ordinarily found in nature as well as in industrial processes. 
publications
2019 

Deep learning velocity signals allows to quantify turbulence intensity Journal Article arXiv, 2019. 