{"id":253,"date":"2013-06-06T05:49:21","date_gmt":"2013-06-06T05:49:21","guid":{"rendered":"http:\/\/toschi.phys.tue.nl\/wordpress\/?p=253"},"modified":"2017-08-16T22:20:38","modified_gmt":"2017-08-16T20:20:38","slug":"inverse-energy-cascade-in-three-dimensional-isotropic-turbulence","status":"publish","type":"post","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/inverse-energy-cascade-in-three-dimensional-isotropic-turbulence\/","title":{"rendered":"Inverse energy cascade in three-dimensional isotropic turbulence"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"253\">\n<div class='content-wrap'><p>Biferale, L., Musacchio, S. &amp; Toschi, F. (2012). Inverse energy cascade in three-dimensional isotropic turbulence. Physical Review Letters, 108(16):164501<\/p>\n<p><a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevLett.108.164501\">DOI<\/a><\/p>\n<p>We study the statistical properties of homogeneous and isotropic three-dimensional (<span class='MathJax_Preview'><img data-recalc-dims=\"1\" src=\"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/plugins\/latex\/cache\/tex_76aa96369abbba52e621bfa83da8e64f.gif?w=697&#038;ssl=1\" style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script>) turbulent flows. By introducing a novel way to make numerical investigations of Navier-Stokes equations, we show that all 3D flows in nature possess a subset of nonlinear evolution leading to a reverse energy transfer: from small to large scales. Up to now, such an inverse cascade was only observed in flows under strong rotation and in quasi-two-dimensional geometries under strong confinement. We show here that energy flux is always reversed when mirror symmetry is broken, leading to a distribution of helicity in the system with a well-defined sign at all wave numbers. Our findings broaden the range of flows where the inverse energy cascade may be detected and rationalize the role played by helicity in the energy transfer process, showing that both <span class='MathJax_Preview'><img data-recalc-dims=\"1\" src=\"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/plugins\/latex\/cache\/tex_8c94134f25efe7680f9743b2774e8e1f.gif?w=697&#038;ssl=1\" style='vertical-align: middle; border: none; padding-bottom:1px;' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script> and <span class='MathJax_Preview'><img data-recalc-dims=\"1\" src=\"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/plugins\/latex\/cache\/tex_76aa96369abbba52e621bfa83da8e64f.gif?w=697&#038;ssl=1\" style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script> properties naturally coexist in all flows in nature. The unconventional numerical methodology here proposed, based on a Galerkin decimation of helical Fourier modes, paves the road for future studies on the influence of helicity on small-scale intermittency and the nature of the nonlinear interaction in magnetohydrodynamics.<\/p>\n<\/div><!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 253 -->","protected":false},"excerpt":{"rendered":"<p>Biferale, L., Musacchio, S. &amp; Toschi, F. (2012). Inverse energy cascade in three-dimensional isotropic turbulence. Physical Review Letters, 108(16):164501 DOI We study the statistical properties of homogeneous and isotropic three-dimensional () turbulent flows. By introducing a novel way to make numerical investigations of Navier-Stokes equations, we show that all 3D flows in nature possess a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[16,51],"class_list":["post-253","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-fundamental","tag-turbulence"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6tiMI-45","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":85,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/new-directions-in-turbulence-2012\/","url_meta":{"origin":253,"position":0},"title":"New Directions in Turbulence 2012","author":"toschi","date":"February 9, 2012","format":false,"excerpt":"SCIENTIFIC CONTENT This six-week program (12 March 2012 to 20 April 2012) will focus on recent development in the understanding of fluid dynamics turbulence\u00a0with the goal to identify promising breakthrough directions. From the point of view of theoretical physics, turbulence is a classical field theory, out of equilibrium and in\u2026","rel":"","context":"In &quot;conferences&quot;","block_context":{"text":"conferences","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/conferences\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":463,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/riccardo-scatamacchia\/","url_meta":{"origin":253,"position":1},"title":"Riccardo Scatamacchia","author":"toschi","date":"December 1, 2013","format":false,"excerpt":"Extreme Events in the Dispersions of Two Neighboring Particles Under the Influence of Fluid Turbulence Phys. Rev. Lett.\u00a0109, 144501 \u2013 Published 5 October 2012 R. Scatamacchia, L. Biferale, and F. Toschi \u00a0 ABSTRACT We present a numerical study of two-particle dispersion from point sources in three-dimensional incompressible homogeneous and isotropic\u2026","rel":"","context":"In &quot;ph.d.&quot;","block_context":{"text":"ph.d.","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/students\/ph-d\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":297,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/population-dynamics-under-flow-2\/","url_meta":{"origin":253,"position":2},"title":"Population dynamics under flow","author":"toschi","date":"June 6, 2013","format":false,"excerpt":"Various recent studies have revealed amazing phenomena in the dynamics of bacterial colonies where biology meets physics, in particular statistical physics, fluid dynamics, and (soft) con- densed matter. These biological systems reveal analogies with complex fluids (isotropic- nematic phase transitions), spinodal decomposition phenomena in physics and materials sci- ence, and\u2026","rel":"","context":"In &quot;biological fluid mechanics&quot;","block_context":{"text":"biological fluid mechanics","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/research\/biological-fluid-mechanics\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2013\/06\/Untitled-3.jpg?fit=558%2C418&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2013\/06\/Untitled-3.jpg?fit=558%2C418&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2013\/06\/Untitled-3.jpg?fit=558%2C418&ssl=1&resize=525%2C300 1.5x"},"classes":[]},{"id":144,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/non-spherical-particles-and-aggregates-in-fluid-flows\/","url_meta":{"origin":253,"position":3},"title":"Non-Spherical Particles and Aggregates in Fluid Flows","author":"toschi","date":"December 4, 2012","format":false,"excerpt":"June 17, 2013 \u2014 June 21, 2013 Coordinators: Cristian Marchioli (Universit\u00e0 di Udine, Italy) Federico Toschi (Eindhoven University of Technology, The Netherlands) Dynamics of non-spherical particles and aggregates in fluid flow are encountered both in nature and in industrial applications. Examples for non-spherical particles include airborne solid particles or aerosols,\u2026","rel":"","context":"In &quot;conferences&quot;","block_context":{"text":"conferences","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/conferences\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2012\/12\/Untitled-3.jpg?fit=1200%2C1200&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2012\/12\/Untitled-3.jpg?fit=1200%2C1200&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2012\/12\/Untitled-3.jpg?fit=1200%2C1200&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2012\/12\/Untitled-3.jpg?fit=1200%2C1200&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2012\/12\/Untitled-3.jpg?fit=1200%2C1200&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":469,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/abhineet-gupta\/","url_meta":{"origin":253,"position":4},"title":"Abhineet Gupta","author":"toschi","date":"December 1, 2013","format":false,"excerpt":"Photo-bioreactors: saving algae from turbulence! Understanding turbulent flow of (dense) suspensions is one of the key factors needed in order to upscale and thus increase the productivity of algae photo-bioreactors. Many studies investigated the rheology of dense suspensions in laminar flows, as well as the dynamics of dilute suspensions in\u2026","rel":"","context":"In &quot;ph.d.&quot;","block_context":{"text":"ph.d.","link":"https:\/\/toschi.phys.tue.nl\/wordpress\/category\/students\/ph-d\/"},"img":{"alt_text":"gupta","src":"https:\/\/i0.wp.com\/toschi.phys.tue.nl\/wordpress\/wp-content\/uploads\/2013\/12\/gupta-300x300.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":262,"url":"https:\/\/toschi.phys.tue.nl\/wordpress\/convection-in-multiphase-fluid-flows-using-lattice-boltzmann-methods\/","url_meta":{"origin":253,"position":5},"title":"Convection in multiphase fluid flows using lattice Boltzmann methods","author":"toschi","date":"June 6, 2013","format":false,"excerpt":"Biferale, L., Perlekar, P., Sbragaglia, M. & Toschi, F. (2012). Convection in multiphase fluid flows using lattice Boltzmann methods. 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