dorsal/arxiv
View SchemaResponse maxima in time-modulated turbulence: Direct Numerical Simulations
| Authors | Arkadiusz K. Kuczaj, Bernard J. Geurts, Detlef Lohse |
|---|---|
| Categories | |
| ArXiv ID | physics/0509208 |
| URL | https://arxiv.org/abs/physics/0509208 |
| DOI | 10.1209/epl/i2005-10486-2 |
Abstract
The response of turbulent flow to time-modulated forcing is studied by direct numerical simulations of the Navier-Stokes equations. The large-scale forcing is modulated via periodic energy input variations at frequency $\omega$. The response is maximal for frequencies in the range of the inverse of the large eddy turnover time, confirming the mean-field predictions of von der Heydt, Grossmann and Lohse (Phys. Rev. E 67, 046308 (2003)). In accordance with the theory the response maximum shows only a small dependence on the Reynolds number and is also quite insensitive to the particular flow-quantity that is monitored, e.g., kinetic energy, dissipation-rate, or Taylor-Reynolds number. At sufficiently high frequencies the amplitude of the kinetic energy response decreases as $1/\omega$. For frequencies beyond the range of maximal response, a significant change in phase-shift relative to the time-modulated forcing is observed.
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"abstract": "The response of turbulent flow to time-modulated forcing is studied by direct\nnumerical simulations of the Navier-Stokes equations. The large-scale forcing\nis modulated via periodic energy input variations at frequency $\\omega$. The\nresponse is maximal for frequencies in the range of the inverse of the large\neddy turnover time, confirming the mean-field predictions of von der Heydt,\nGrossmann and Lohse (Phys. Rev. E 67, 046308 (2003)). In accordance with the\ntheory the response maximum shows only a small dependence on the Reynolds\nnumber and is also quite insensitive to the particular flow-quantity that is\nmonitored, e.g., kinetic energy, dissipation-rate, or Taylor-Reynolds number.\nAt sufficiently high frequencies the amplitude of the kinetic energy response\ndecreases as $1/\\omega$. For frequencies beyond the range of maximal response,\na significant change in phase-shift relative to the time-modulated forcing is\nobserved.",
"arxiv_id": "physics/0509208",
"authors": [
"Arkadiusz K. Kuczaj",
"Bernard J. Geurts",
"Detlef Lohse"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"doi": "10.1209/epl/i2005-10486-2",
"title": "Response maxima in time-modulated turbulence: Direct Numerical Simulations",
"url": "https://arxiv.org/abs/physics/0509208"
},
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