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Simulation of induction at low magnetic Prandtl number

Abstract : We consider the induction of a magnetic field in flows of an electrically conducting fluid at low magnetic Prandtl number and large kinetic Reynolds number. Using the separation between the magnetic and kinetic diffusive length scales, we propose a new numerical approach. The coupled magnetic and fluid equations are solved using a mixed scheme, where the magnetic field fluctuations are fully resolved and the velocity fluctuations at small scale are modeled using a large eddy simulation (LES) scheme. We study the response of a forced Taylor-Green flow to an externally applied field: topology of the mean induction and time fluctuations at fixed locations. The results are in remarkable agreement with existing experimental data; a global 1/f behavior at long times is also evidenced.
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https://hal.archives-ouvertes.fr/hal-00163375
Contributor : Yannick Ponty Connect in order to contact the contributor
Submitted on : Tuesday, July 17, 2007 - 1:39:11 PM
Last modification on : Tuesday, October 19, 2021 - 6:59:06 PM

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  • HAL Id : hal-00163375, version 1

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Yannick Ponty, Helene Politano, Jean-François Pinton. Simulation of induction at low magnetic Prandtl number. Physical Review Letters, American Physical Society, 2004, 92 (14), pp.144503. ⟨hal-00163375⟩

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