@article{oai:nagoya.repo.nii.ac.jp:00023507,
 author = {Ishihara, Takashi and Morishita, Koji and Yokokawa, Mitsuo and Uno, Atsuya and Kaneda, Yukio},
 journal = {Physical Review Fluids},
 month = {Dec},
 note = {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.},
 pages = {082403R--082403R},
 title = {Energy spectrum in high-resolution direct numerical simulations of turbulence},
 volume = {1},
 year = {2016}
}