How tracer particles sample the complexity of turbulence
On their roller coaster ride through turbulence, tracer particles sample the fluctuations of the underlying fields in space and time. Quantitatively relating particle and field statistics remains a fundamental challenge in a large variety of turbulent flows. We quantify how tracer particles sample t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa8ecd |
| _version_ | 1797750564364222464 |
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| author | Cristian C Lalescu Michael Wilczek |
| author_facet | Cristian C Lalescu Michael Wilczek |
| author_sort | Cristian C Lalescu |
| collection | DOAJ |
| description | On their roller coaster ride through turbulence, tracer particles sample the fluctuations of the underlying fields in space and time. Quantitatively relating particle and field statistics remains a fundamental challenge in a large variety of turbulent flows. We quantify how tracer particles sample turbulence by expressing their temporal velocity fluctuations in terms of an effective probabilistic sampling of spatial velocity field fluctuations. To corroborate our theory, we investigate an extensive suite of direct numerical simulations of hydrodynamic turbulence covering a Taylor-scale Reynolds number range from 150 to 430. Our approach allows the assessment of particle statistics from the knowledge of flow field statistics only, therefore opening avenues to a new generation of models for transport in complex flows. |
| first_indexed | 2024-03-12T16:35:36Z |
| format | Article |
| id | doaj.art-8843f02f2bf54521ae5e76f89f338392 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:36Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-8843f02f2bf54521ae5e76f89f3383922023-08-08T14:55:40ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120101300110.1088/1367-2630/aa8ecdHow tracer particles sample the complexity of turbulenceCristian C Lalescu0Michael Wilczek1Max Planck Institute for Dynamics and Self-Organization , Am Fassberg 17, D-37077 Göttingen, GermanyMax Planck Institute for Dynamics and Self-Organization , Am Fassberg 17, D-37077 Göttingen, GermanyOn their roller coaster ride through turbulence, tracer particles sample the fluctuations of the underlying fields in space and time. Quantitatively relating particle and field statistics remains a fundamental challenge in a large variety of turbulent flows. We quantify how tracer particles sample turbulence by expressing their temporal velocity fluctuations in terms of an effective probabilistic sampling of spatial velocity field fluctuations. To corroborate our theory, we investigate an extensive suite of direct numerical simulations of hydrodynamic turbulence covering a Taylor-scale Reynolds number range from 150 to 430. Our approach allows the assessment of particle statistics from the knowledge of flow field statistics only, therefore opening avenues to a new generation of models for transport in complex flows.https://doi.org/10.1088/1367-2630/aa8ecdturbulenceintermittencyparticle transportEulerian and Lagrangian aspects |
| spellingShingle | Cristian C Lalescu Michael Wilczek How tracer particles sample the complexity of turbulence New Journal of Physics turbulence intermittency particle transport Eulerian and Lagrangian aspects |
| title | How tracer particles sample the complexity of turbulence |
| title_full | How tracer particles sample the complexity of turbulence |
| title_fullStr | How tracer particles sample the complexity of turbulence |
| title_full_unstemmed | How tracer particles sample the complexity of turbulence |
| title_short | How tracer particles sample the complexity of turbulence |
| title_sort | how tracer particles sample the complexity of turbulence |
| topic | turbulence intermittency particle transport Eulerian and Lagrangian aspects |
| url | https://doi.org/10.1088/1367-2630/aa8ecd |
| work_keys_str_mv | AT cristianclalescu howtracerparticlessamplethecomplexityofturbulence AT michaelwilczek howtracerparticlessamplethecomplexityofturbulence |