Skip to main content
Log in

Multi-scale vortical structure analysis on large eddy simulation of dune wake flow

  • Regular Paper
  • Published:
Journal of Visualization Aims and scope Submit manuscript

Abstract

The three-dimensional dune wake flow is evaluated by large eddy simulation at a Reynolds number of 5,534, and validated by time-averaged results of particle image velocimetry measurement at a central streamwise plane. To reveal multi-scale characteristics of vortical structure, the instantaneous velocity, vorticity, and pressure were decomposed into the large-, intermediate- and small-scale components by three-dimensional wavelet multi-resolution technique, the scale of each wavelet component is quantified by two-point autocorrelation function with the central scale of 43, 20 and 9.6 mm, respectively. It is found that large-scale structure determines the formation of separation bubble and makes the most significance to the vorticity. Some intermediate-scale and small-scale streamwise vortices cause the upwelling of vortical structures, and they tend to be more active at the downstream. By visualization of pressure distribution, we can find that pressure distribution is mainly characterized by large-scale structure, and the distribution of small-scale structure can be interfered as a reason why large-scale vortical structure breaks into small vortices at the near outlet region.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Bagnold RA (1941) The physics of blown sand and desert dunes. Methuen, New York, p 265

  • Balachandar R, Hyun BS, Patel VC (2007) Effect of depth on flow over a fixed dune. Can J Civ Eng 34:1587–1599

    Article  Google Scholar 

  • Best J, Kostaschuk R (2002) An experimental study of turbulent flow over a low-angle dune. J Geophys Res 107:C9

    Google Scholar 

  • Broglia R, Pascarelli A, Piomelli U (2003) Large-eddy simulations of ducts with a free surface. J Fluid Mech 484:223

    Article  MATH  Google Scholar 

  • Camussi R, Di Felice F (2006) Statistical properties of vortical structures with spanwise vorticity in zero pressure gradient turbulent boundary layers. Phys Fluids 18(3):035108

    Article  MathSciNet  Google Scholar 

  • Farge M (1992) Wavelet transforms and their applications to turbulence. Annu Rev Fluid Mech 24:395–457

    Article  MathSciNet  Google Scholar 

  • Farge M, Schneider K, Kevlahan N (1999) Non-gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis. Phys Fluids 11:2187–2201

    Article  MATH  MathSciNet  Google Scholar 

  • Farge M, Pellegrino G, Schneider K (2001) Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets. Phys Rev Lett 87(55):054501

    Article  Google Scholar 

  • Fluent 6.3 User’s Guide (2006), Fluent Inc.

  • Grigoriadis DGE, Balaras E, Dimas AA (2009) Large-eddy simulations of unidirectional water flow over dunes. J Geophys Res 114:F02022. doi:10.1029/2008JF001014

    Google Scholar 

  • Hersen P (2005) Flow effects on the morphology and dynamics of aeolian and subaqueous barchan dunes. J Geophys Res 110:F4

    Google Scholar 

  • Hersen P, Douady S, Andreotti B (2002) Relevant length scale for barchan dunes. Phys Rev Lett 89:264301

    Article  Google Scholar 

  • Lancaster N (1995) Geomorphology of desert dunes. Routledge, London

    Book  Google Scholar 

  • Meneveau C (1991) Analysis of turbulence in the orthonormal wavelet representation. J Fluid Mech 232:469–520

    Article  MATH  MathSciNet  Google Scholar 

  • Mohammad O, Ugo P (2013) Large-eddy simulation of three-dimensional dunes in a steady, unidirectional flow. Part 1. Turbulence statistics. J Fluid Mech 721:454–483. doi:10.1017/jfm.2013.36

    Article  MATH  MathSciNet  Google Scholar 

  • Palmer JA, Mejia-Alvarez R, Best JL, Christensen KT (2012) Particle-image velocimetry measurements of flow over interacting barchan dunes, Exp Fluids 52:809–829

  • Parsons DR, Walker IJ, Wiggs GFS (2004) Numerical modelling of flow structures over an idealised transverse dunes of varying geometry. Geomorphology 59:149–164

    Article  Google Scholar 

  • Patel VC, Lin CL (2004) Turbulence modeling in flow over a dune with special reference to free surface and bed roughness effects. In: Proceedings of 6th international conference on hydro science and engineering (ICHE-2004), Brisbane

  • Rinoshika A, Omori H (2011) Orthogonal wavelet analysis of turbulent wakes behind various bluff bodies. Exp Therm Fluid Sci 35:1231–1238

    Article  Google Scholar 

  • Rinoshika A, Zhou Y (2005a) Effects of initial conditions on a wavelet-decomposed turbulent near-wake. Phys Rev E 71(046303):1–8

    Google Scholar 

  • Rinoshika A, Zhou Y (2005b) Orthogonal wavelet multi-resolution analysis of a turbulent cylinder wake. J Fluid Mech 524:229–248

    Article  MATH  Google Scholar 

  • Rinoshika A, Zhou Y (2009) Reynolds number effects on wavelet components of self-preserving turbulent structures. Phys Rev E 79(046322):1–11

    Google Scholar 

  • Venditti JG, Bennett SJ (2000) Spectral analysis of turbulent flow and suspended sediment transport over fixed dunes. J Geophys Res Ocean 105(C9):22035–22047

    Article  Google Scholar 

  • Walker IJ, Nickling WG (2003) Simulation and measurement of surface shear stress over isolated and closely spaced transverse dunes in a wind tunnel. Earth Surf Proc Land 28:1111–1124

    Article  Google Scholar 

  • Yamada M, Ohkitani K (1991) Identification of energy cascade in turbulence by orthonormal wavelet analysis. Prog Theory Phys 86:799–815

    Article  Google Scholar 

  • Yue W, Lin CL, Patel VC (2005) Coherent structures in open channel flows over a fixed dune. J Fluids Eng 127(5):858–864

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Akira Rinoshika.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zheng, Y., Rinoshika, A. Multi-scale vortical structure analysis on large eddy simulation of dune wake flow. J Vis 18, 95–109 (2015). https://doi.org/10.1007/s12650-014-0227-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12650-014-0227-0

Keywords

Navigation