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Original Articles

High-resolution direct numerical simulation of turbulence

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Article: N20 | Published online: 30 Oct 2009

References

  • Orszag , S. A. 1969 . Numerical methods for the simulation of turbulence . Physics of Fluids , 12 : II-250 – 257 . [CSA]
  • Siggia , E. D. 1981 . Numerical study of small-scale intermittency in 3-dimensional turbulence . Journal of Fluid Mechanics , 107 : 375 – 406 . [CSA]
  • Kerr , R. M. 1985 . Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence . Journal of Fluid Mechanics , 153 : 31 – 58 . [CSA]
  • Vincent , A. and Meneguzzi , M. 1991 . The spatial structure and statistical properties of homogeneous turbulence . Journal of Fluid Mechanics , 225 : 1 – 20 . [CSA]
  • Chen , S. , Doolen , G. D. , Kraichnan , R. H. and She , Z.-S. 1993 . On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence . Physics of Fluids A , 5 : 458 – 463 . [CSA] [CROSSREF]
  • Jimenez , J. , Wray , A. A. , Saffman , P. G. and Rogallo , R. S. 1993 . The structure of intense vorticity in isotropic turbulence . Journal of Fluid Mechanics , 225 : 65 – 90 . [CSA]
  • Gotoh , T. and Fukayama , D. 2001 . Pressure spectrum in homogeneous turbulence . Physical Review Letters , 86 : 3775 – 3778 . [PUBMED] [INFOTRIEVE] [CSA] [CROSSREF]
  • Ishihara , T. and Kaneda , Y. 2002 . “ High resolution DNS of incompressible homogeneous forced turbulence—time dependence of the statistics ” . In Statistical Theories and Computational Approaches to Turbulence , Edited by: Kaneda , Y. and Gotoh , T. pp. 177 – 188 . Tokyo : Springer-Verlag .
  • Gotoh , T. , Fukayama , D. and Nakano , T. 2002 . Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation . Physics of Fluids , 14 : 1065 – 1081 . [CSA] [CROSSREF]
  • Yokokawa , M. , Itakura , K. , Uno , A. , Ishihara , T. and Kaneda , Y. 2002 . 16.4-Tflops direct numerical simulation of turbulence by a Fourier spectral method on the Earth Simulator . Proceeding of the IEEE/ACM SC2002 Conference . 2002 , Baltimore. (CD-ROM)
  • Kaneda , Y. and Yokokawa , M. 2005 . “ DNS of canonical turbulence with up to 40963 grid points ” . In Parallel Computational Fluid Dynamics 2004 , Edited by: Winter , G. , Ecer , A. , Periaux , J. , Satofuka , N. and Fox , P. Amsterdam : Elsevier .
  • Yamazaki , Y. , Ishihara , T. and Kaneda , Y. 2002 . Effects of wavenumber truncation on high-resolution direct numerical simulation of turbulence . Journal of Physics Society of Japan , 71 : 777 – 781 . [CSA] [CROSSREF]
  • Ishihara , T. , Kaneda , Y. , Yokokawa , M. , Itakura , K. and Uno , A. 2005 . Energy spectrum in the near dissipation range of high resolution direct numerical simulation of turbulence . Journal of Physics Society of Japan , 74 : 1464 – 1471 . [CSA] [CROSSREF]
  • Davidson , P. A. 2001 . An Introduction to Magnetohydrodynamics , Cambridge : Cambridge University Press .
  • Davidson , P. A. 2004 . Turbulence , New York : Oxford University Press .
  • Kaneda , Y. , Ishihara , T. , Yokokawa , M. , Itakura , K. and Uno , A. 2003 . Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box . Physics of Fluids , 15 : L21 – L24 . [CSA] [CROSSREF]
  • Kaneda , Y. , Ishihara , T. and Gotoh , K. 1999 . Taylor expansions in powers of time of Lagrangian and Eulerian two-point two-time velocity correlations in turbulence . Physics of Fluids , 11 : 2154 – 2166 . [CSA] [CROSSREF]
  • Ishihara , T. , Yoshida , K. and Kaneda , Y. 2002 . Anisotropic velocity correlation spectrum at small scales in a homogeneous turbulent shear flow . Physical Review Letters , 88 : 154501-1 – 154501-14 . [CSA] [CROSSREF]
  • Yoshida , K. , Ishihara , T. and Kaneda , Y. 2003 . Anisotropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation . Physics of Fluids , 15 : 2385 – 2397 . [CSA] [CROSSREF]
  • Yeung , P. K. and Pope , S. B. 1989 . Lagrangian statistics from direct numerical simulations of isotropic turbulence . Journal of Fluid Mechanics , 207 : 531 – 586 . [CSA]
  • Ishihara , T. and Kaneda , Y. 2002 . Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence . Physics of Fluids , 14 : 69 – 72 . [CSA] [CROSSREF]
  • Sreenivasan , K. R. 1998 . An update on the energy dissipation rate in isotropic turbulence . Physics of Fluids , 10 : 528 – 529 . [CSA] [CROSSREF]
  • Ishihara , T. , Yamazaki , Y. and Kaneda , Y. 2001 . “ Statistics of small-scale structure of homogeneous. isotropic turbulence ” . In IUTAM Symposium on Geometry and Statistics of Turbulence , Edited by: Kambe , T. , Nakano , T. and Miyauchi , T. pp. 133 – 138 . Dordrecht, , The Netherland : Kluwer Academic Publishers .
  • Porter , D. H. , Woodward , P. R. and Pouquet , A. 1998 . Inertial range structures in decaying compressible turbulent flows . Physics of Fluids , 10 : 237 – 245 . [CSA] [CROSSREF]
  • Ishihara , T. , Kaneda , Y. , Yokokawa , M. , Itakura , K. and Uno , A. 2003 . Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box . Journal of Physics Society of Japan , 72 : 983 – 986 . [CSA] [CROSSREF]
  • Martinez , D. O. , Chen , S. , Doolen , G. D. , Kraichnan , R. H. , Wang , L.-P. and Zhou , Y. 1997 . Energy spectrum in the dissipation range of fluid turbulence . Journal of Plasma Physics , 57 : 195 – 201 . [CSA] [CROSSREF]
  • Kaneda , Y. and Yoshida , K. 2004 . Small-scale anisotropy in stably stratified turbulence . New Journal of Physics , 6 : 34 [CSA] [CROSSREF]
  • Moisy , F. and Jimenez , J. 2004 . Geometry and clustering of intense structures in isotropic turbulence . Journal of Fluid Mechanics , 513 : 111 – 133 . [CSA] [CROSSREF]

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