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No return to reflection symmetry in freely decaying homogeneous turbulence
http://hdl.handle.net/2237/00029360
http://hdl.handle.net/2237/00029360445cb886-fb1c-41cd-b952-870eb8774767
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
PhysRevFluids4_024611 (1.3 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2019-03-01 | |||||
| タイトル | ||||||
| タイトル | No return to reflection symmetry in freely decaying homogeneous turbulence | |||||
| 言語 | en | |||||
| 著者 |
Yoshimatsu, Katsunori
× Yoshimatsu, Katsunori× Kaneda, Yukio |
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| アクセス権 | ||||||
| アクセス権 | open access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
| 権利 | ||||||
| 言語 | en | |||||
| 権利情報 | © 2019 American Physical Society | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider the large-scale structure of freely decaying incompressible homogeneous anisotropic helical turbulence, whose energy spectrum E(k) is given by E(k)=Ck^2+o(k^2) at k→0. Here k=|k|,k is the wave vector, and C is a dynamical invariant. The helicity spectrum H(k) is given by H(k)=Chk^3+o(k^3) at k→0, where Ch is in general nonzero in helical turbulence. By generalizing Saffman's argument for nonhelical turbulence [Saffman, J. Fluid Mech. 27, 581 (1967)] to helical turbulence, it is shown that Ch is another dynamical invariant. We present a theoretical analysis based on the time independence of the O(k^0) term of the velocity correlation spectral tensor at k→0 and a self-similarity assumption of flow evolution at large scales including the energy containing range scales. The analysis suggests that if the O(k^0) term is reflection asymmetric at an initial instant, the turbulence does not relax to any reflection symmetric state at the large scales. A simple dimensional analysis yields the decay rates of the helicity and kinetic energy in the fully developed turbulence state. The theoretical results agree with results obtained by direct numerical simulation of incompressible helical turbulence in a periodic box. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | American Physical Society | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1103/PhysRevFluids.4.024611 | |||||
| ISSN（print） | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 2469-990X | |||||
| 書誌情報 |
en : Physical Review Fluids 巻 4, 号 2, p. 024611, 発行日 2019-02-27 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
