dorsal/arxiv
View SchemaDynamo action at low magnetic Prandtl numbers: mean flow vs. fully turbulent motion
| Authors | Yannick Ponty, Pablo Mininni, Jean-François Pinton, Hélène Politano, Annick Pouquet |
|---|---|
| Categories | |
| ArXiv ID | physics/0601105 |
| URL | https://arxiv.org/abs/physics/0601105 |
| DOI | 10.1088/1367-2630/9/8/296 |
Abstract
We compute numerically the threshold for dynamo action in Taylor-Green swirling flows. Kinematic calculations, for which the flow field is fixed to its time averaged profile, are compared to dynamical runs for which both the Navier-Stokes and the induction equations are jointly solved. The kinematic instability is found to have two branches, for all explored Reynolds numbers. The dynamical dynamo threshold follows these branches: at low Reynolds number it lies within the low branch while at high kinetic Reynolds number it is close to the high branch.
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"date_created": "2026-03-02T18:01:03.665000Z",
"date_modified": "2026-03-02T18:01:03.665000Z",
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"abstract": "We compute numerically the threshold for dynamo action in Taylor-Green\nswirling flows. Kinematic calculations, for which the flow field is fixed to\nits time averaged profile, are compared to dynamical runs for which both the\nNavier-Stokes and the induction equations are jointly solved. The kinematic\ninstability is found to have two branches, for all explored Reynolds numbers.\nThe dynamical dynamo threshold follows these branches: at low Reynolds number\nit lies within the low branch while at high kinetic Reynolds number it is close\nto the high branch.",
"arxiv_id": "physics/0601105",
"authors": [
"Yannick Ponty",
"Pablo Mininni",
"Jean-Fran\u00e7ois Pinton",
"H\u00e9l\u00e8ne Politano",
"Annick Pouquet"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1088/1367-2630/9/8/296",
"title": "Dynamo action at low magnetic Prandtl numbers: mean flow vs. fully turbulent motion",
"url": "https://arxiv.org/abs/physics/0601105"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bad10049-720e-4791-8d5a-5469aa45b283",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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