Gampert, Markus ; Goebbert, Jens Henrik ; Schaefer, Philip ; Gauding, Michael ; Peters, Norbert ; Aldudak, Fettah ; Oberlack, Martin (2024)
Extensive strain along gradient trajectories in the turbulent kinetic energy field.
In: New Journal of Physics, 2011, 13 (4)
doi: 10.26083/tuprints-00020563
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
Based on direct numerical simulations of forced turbulence, shear turbulence, decaying turbulence, a turbulent channel flow as well as a Kolmogorov flow with Taylor-based Reynolds numbers Reλ between 69 and 295, the normalized probability density function of the length distribution of dissipation elements, the conditional mean scalar difference ⟨Δk∣l⟩ at the extreme points as well as the scaling of the two-point velocity difference along gradient trajectories ⟨Δun⟩ are studied. Using the field of the instantaneous turbulent kinetic energy k as a scalar, we find good agreement between the model equation for as proposed by Wang and Peters (2008 J. Fluid Mech. 608 113–38) and the results obtained in the different direct numerical simulation cases. This confirms the independence of the model solution from both the Reynolds number and the type of turbulent flow, so that it can be considered universally valid. In addition, we show a 2/3 scaling for the mean conditional scalar difference. In the second part of the paper, we examine the scaling of the conditional two-point velocity difference along gradient trajectories. In particular, we compare the linear s/τ scaling, where τ denotes an integral time scale and s the separation arclength along a gradient trajectory in the inertial range as derived by Wang (2009 Phys. Rev. E 79 046325) with the s·a∞ scaling, where a∞ denotes the asymptotic value of the conditional mean strain rate of large dissipation elements.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Gampert, Markus ; Goebbert, Jens Henrik ; Schaefer, Philip ; Gauding, Michael ; Peters, Norbert ; Aldudak, Fettah ; Oberlack, Martin |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Extensive strain along gradient trajectories in the turbulent kinetic energy field |
| Sprache: | Englisch |
| Publikationsjahr: | 5 März 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | April 2011 |
| Ort der Erstveröffentlichung: | London |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | New Journal of Physics |
| Jahrgang/Volume einer Zeitschrift: | 13 |
| (Heft-)Nummer: | 4 |
| Kollation: | 16 Seiten |
| DOI: | 10.26083/tuprints-00020563 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/20563 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | Based on direct numerical simulations of forced turbulence, shear turbulence, decaying turbulence, a turbulent channel flow as well as a Kolmogorov flow with Taylor-based Reynolds numbers Reλ between 69 and 295, the normalized probability density function of the length distribution of dissipation elements, the conditional mean scalar difference ⟨Δk∣l⟩ at the extreme points as well as the scaling of the two-point velocity difference along gradient trajectories ⟨Δun⟩ are studied. Using the field of the instantaneous turbulent kinetic energy k as a scalar, we find good agreement between the model equation for as proposed by Wang and Peters (2008 J. Fluid Mech. 608 113–38) and the results obtained in the different direct numerical simulation cases. This confirms the independence of the model solution from both the Reynolds number and the type of turbulent flow, so that it can be considered universally valid. In addition, we show a 2/3 scaling for the mean conditional scalar difference. In the second part of the paper, we examine the scaling of the conditional two-point velocity difference along gradient trajectories. In particular, we compare the linear s/τ scaling, where τ denotes an integral time scale and s the separation arclength along a gradient trajectory in the inertial range as derived by Wang (2009 Phys. Rev. E 79 046325) with the s·a∞ scaling, where a∞ denotes the asymptotic value of the conditional mean strain rate of large dissipation elements. |
| ID-Nummer: | Artikel-ID: 043012 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-205637 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) |
| Hinterlegungsdatum: | 05 Mär 2024 10:11 |
| Letzte Änderung: | 06 Mär 2024 06:15 |
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