dorsal/arxiv
View SchemaSynthetic Turbulence, Fractal Interpolation and Large-Eddy Simulation
| Authors | Sukanta Basu, Efi Foufoula-Georgiou, Fernando Porté-Agel |
|---|---|
| Categories | |
| ArXiv ID | physics/0310135 |
| URL | https://arxiv.org/abs/physics/0310135 |
| DOI | 10.1103/PhysRevE.70.026310 |
Abstract
Fractal Interpolation has been proposed in the literature as an efficient way to construct closure models for the numerical solution of coarse-grained Navier-Stokes equations. It is based on synthetically generating a scale-invariant subgrid-scale field and analytically evaluating its effects on large resolved scales. In this paper, we propose an extension of previous work by developing a multiaffine fractal interpolation scheme and demonstrate that it preserves not only the fractal dimension but also the higher-order structure functions and the non-Gaussian probability density function of the velocity increments. Extensive a-priori analyses of atmospheric boundary layer measurements further reveal that this Multiaffine closure model has the potential for satisfactory performance in large-eddy simulations. The pertinence of this newly proposed methodology in the case of passive scalars is also discussed.
{
"annotation_id": "51b14d2c-ba30-4835-ab59-4a134afb2cca",
"date_created": "2026-03-02T18:00:45.960000Z",
"date_modified": "2026-03-02T18:00:45.960000Z",
"file_hash": "205c63556920c18af5db98c6390b6a91386eecf407fb6a4ac60c0a964b3aa9b4",
"private": false,
"record": {
"abstract": "Fractal Interpolation has been proposed in the literature as an efficient way\nto construct closure models for the numerical solution of coarse-grained\nNavier-Stokes equations. It is based on synthetically generating a\nscale-invariant subgrid-scale field and analytically evaluating its effects on\nlarge resolved scales. In this paper, we propose an extension of previous work\nby developing a multiaffine fractal interpolation scheme and demonstrate that\nit preserves not only the fractal dimension but also the higher-order structure\nfunctions and the non-Gaussian probability density function of the velocity\nincrements. Extensive a-priori analyses of atmospheric boundary layer\nmeasurements further reveal that this Multiaffine closure model has the\npotential for satisfactory performance in large-eddy simulations. The\npertinence of this newly proposed methodology in the case of passive scalars is\nalso discussed.",
"arxiv_id": "physics/0310135",
"authors": [
"Sukanta Basu",
"Efi Foufoula-Georgiou",
"Fernando Port\u00e9-Agel"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.70.026310",
"title": "Synthetic Turbulence, Fractal Interpolation and Large-Eddy Simulation",
"url": "https://arxiv.org/abs/physics/0310135"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "448ffbc1-87f9-471a-a1a4-92f2326e7ef5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}