Energy spectrum in high-resolution direct numerical simulations of turbulence
抄録
A study is made about the energy spectrum E(k) of turbulence on the basis of high-resolution direct numerical simulations (DNSs) of forced incompressible turbulence in a periodic box using a Fourier spectral method with the number of grid points and the Taylor scale Reynolds number Rλ up to 122883 and approximately 2300, respectively. The DNS data show that there is a wave-number range (approximately 5×10−3<kη<2×10−2) in which E(k) fits approximately well to Kolmogorov's k−5/3 scaling, where η is the Kolmogorov length scale. However, a close inspection shows that the exponent is a little smaller than −5/3, and E(k) in the range fits to E(k)/[⟨ε⟩2/3k−5/3]=c(kL)m, where ⟨ε⟩ is the mean energy dissipation rate per unit mass; L is the integral length scale; and m≈−0.12. The coefficient c is independent of k, but has a Rλ dependence, such as c=CRζλ, where C≈0.9 and ζ≈0.14.
収録刊行物
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- Physical Review Fluids
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Physical Review Fluids 1 082403R-082403R, 2016-12-22
American Physical Society
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詳細情報 詳細情報について
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- CRID
- 1050845763735837312
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- NII論文ID
- 120005981191
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- ISSN
- 2469990X
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- HANDLE
- 2237/25700
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles