dorsal/arxiv
View SchemaLagrangian Statistics of Navier-Stokes- and MHD-Turbulence
| Authors | H. Homann, R. Grauer, A. Busse, W. C. Müller |
|---|---|
| Categories | |
| ArXiv ID | physics/0702115 |
| URL | https://arxiv.org/abs/physics/0702115 |
| DOI | 10.1017/S0022377807006575 |
Abstract
We report on a comparison of high-resolution numerical simulations of Lagrangian particles advected by incompressible turbulent hydro- and magnetohydrodynamic (MHD) flows. Numerical simulations were performed with up to $1024^3$ collocation points and 10 million particles in the Navier-Stokes case and $512^3$ collocation points and 1 million particles in the MHD case. In the hydrodynamics case our findings compare with recent experiments from Mordant et al. [1] and Xu et al. [2]. They differ from the simulations of Biferale et al. [3] due to differences of the ranges choosen for evaluating the structure functions. In Navier-Stokes turbulence intermittency is stronger than predicted by a multifractal approach of [3] whereas in MHD turbulence the predictions from the multifractal approach are more intermittent than observed in our simulations. In addition, our simulations reveal that Lagrangian Navier-Stokes turbulence is more intermittent than MHD turbulence, whereas the situation is reversed in the Eulerian case. Those findings can not consistently be described by the multifractal modeling. The crucial point is that the geometry of the dissipative structures have different implications for Lagrangian and Eulerian intermittency. Application of the multifractal approach for the modeling of the acceleration PDFs works well for the Navier-Stokes case but in the MHD case just the tails are well described.
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"abstract": "We report on a comparison of high-resolution numerical simulations of\nLagrangian particles advected by incompressible turbulent hydro- and\nmagnetohydrodynamic (MHD) flows. Numerical simulations were performed with up\nto $1024^3$ collocation points and 10 million particles in the Navier-Stokes\ncase and $512^3$ collocation points and 1 million particles in the MHD case. In\nthe hydrodynamics case our findings compare with recent experiments from\nMordant et al. [1] and Xu et al. [2]. They differ from the simulations of\nBiferale et al. [3] due to differences of the ranges choosen for evaluating the\nstructure functions. In Navier-Stokes turbulence intermittency is stronger than\npredicted by a multifractal approach of [3] whereas in MHD turbulence the\npredictions from the multifractal approach are more intermittent than observed\nin our simulations. In addition, our simulations reveal that Lagrangian\nNavier-Stokes turbulence is more intermittent than MHD turbulence, whereas the\nsituation is reversed in the Eulerian case. Those findings can not consistently\nbe described by the multifractal modeling. The crucial point is that the\ngeometry of the dissipative structures have different implications for\nLagrangian and Eulerian intermittency. Application of the multifractal approach\nfor the modeling of the acceleration PDFs works well for the Navier-Stokes case\nbut in the MHD case just the tails are well described.",
"arxiv_id": "physics/0702115",
"authors": [
"H. Homann",
"R. Grauer",
"A. Busse",
"W. C. M\u00fcller"
],
"categories": [
"physics.plasm-ph",
"physics.flu-dyn"
],
"doi": "10.1017/S0022377807006575",
"title": "Lagrangian Statistics of Navier-Stokes- and MHD-Turbulence",
"url": "https://arxiv.org/abs/physics/0702115"
},
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