Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version
A necessary and sufficient form of two-point velocity characteristic function to embody two-point velocity distribution in turbulence is constructed on the mathematical basis of homogeneity and isotropy. This is applied in the first equation (for one-point velocity probability density) of the Monin-...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2015-03-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4914494 |
| _version_ | 1818552754808815616 |
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| author | Iwao Hosokawa |
| author_facet | Iwao Hosokawa |
| author_sort | Iwao Hosokawa |
| collection | DOAJ |
| description | A necessary and sufficient form of two-point velocity characteristic function to embody two-point velocity distribution in turbulence is constructed on the mathematical basis of homogeneity and isotropy. This is applied in the first equation (for one-point velocity probability density) of the Monin-Lundgren hierarchy to see its substantial effect on the dynamics of homogeneous isotropic turbulence, the pressure term in which then is proved to vanish, as argued in “One-point velocity statistics in decaying homogeneous isotropic turbulence,” Phys. Rev. E 78, 066312 (2008). Furthermore, an approximate form of three-point velocity characteristic function is searched on this basis, so that we obtain a simple closed hierarchy at the second equation stage. Thereby a certain closure method for the hierarchy in homogeneous, isotropic turbulence is illuminated from a new point of view. |
| first_indexed | 2024-12-12T09:17:18Z |
| format | Article |
| id | doaj.art-794b555a0c3948a1ac0f7a7e385824db |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-12T09:17:18Z |
| publishDate | 2015-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-794b555a0c3948a1ac0f7a7e385824db2022-12-22T00:29:21ZengAIP Publishing LLCAIP Advances2158-32262015-03-0153037110037110-1010.1063/1.4914494010503ADVTypical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point versionIwao Hosokawa02-24-6-101 Honmachi, Fuchu, Tokyo 183-0027, JapanA necessary and sufficient form of two-point velocity characteristic function to embody two-point velocity distribution in turbulence is constructed on the mathematical basis of homogeneity and isotropy. This is applied in the first equation (for one-point velocity probability density) of the Monin-Lundgren hierarchy to see its substantial effect on the dynamics of homogeneous isotropic turbulence, the pressure term in which then is proved to vanish, as argued in “One-point velocity statistics in decaying homogeneous isotropic turbulence,” Phys. Rev. E 78, 066312 (2008). Furthermore, an approximate form of three-point velocity characteristic function is searched on this basis, so that we obtain a simple closed hierarchy at the second equation stage. Thereby a certain closure method for the hierarchy in homogeneous, isotropic turbulence is illuminated from a new point of view.http://dx.doi.org/10.1063/1.4914494 |
| spellingShingle | Iwao Hosokawa Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version AIP Advances |
| title | Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version |
| title_full | Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version |
| title_fullStr | Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version |
| title_full_unstemmed | Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version |
| title_short | Typical form of characteristic function of two-point velocity distribution in homogeneous isotropic turbulence and its extension to the three-point version |
| title_sort | typical form of characteristic function of two point velocity distribution in homogeneous isotropic turbulence and its extension to the three point version |
| url | http://dx.doi.org/10.1063/1.4914494 |
| work_keys_str_mv | AT iwaohosokawa typicalformofcharacteristicfunctionoftwopointvelocitydistributioninhomogeneousisotropicturbulenceanditsextensiontothethreepointversion |