dorsal/arxiv
View SchemaMathematics of Structure-Function Equations of All Orders
| Authors | Reginald J. Hill |
|---|---|
| Categories | |
| ArXiv ID | physics/0102055 |
| URL | https://arxiv.org/abs/physics/0102055 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Exact equations are derived that relate velocity structure functions of arbitrary order with other statistics. "Exact" means that no approximations are used except that the Navier-Stokes equation and incompressibility condition are assumed to be accurate. The exact equations are used to determine the structure-function equations of all orders for locally homogeneous but anisotropic turbulence as well as for the locally isotropic case. These equations can be used for investigating the approach to local homogeneity and to local isotropy as well as the balance of the equations and identification of scaling ranges.
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"abstract": "Exact equations are derived that relate velocity structure functions of\narbitrary order with other statistics. \"Exact\" means that no approximations are\nused except that the Navier-Stokes equation and incompressibility condition are\nassumed to be accurate. The exact equations are used to determine the\nstructure-function equations of all orders for locally homogeneous but\nanisotropic turbulence as well as for the locally isotropic case. These\nequations can be used for investigating the approach to local homogeneity and\nto local isotropy as well as the balance of the equations and identification of\nscaling ranges.",
"arxiv_id": "physics/0102055",
"authors": [
"Reginald J. Hill"
],
"categories": [
"physics.flu-dyn"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Mathematics of Structure-Function Equations of All Orders",
"url": "https://arxiv.org/abs/physics/0102055"
},
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