Advertisement

Adaptive Direct Numerical Simulation with Spatially-Anisotropic Wavelet-Based Refinement

  • G. De StefanoEmail author
  • E. Brown-Dymkoski
  • O. V. Vasilyev
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)

Abstract

In the wavelet-based adaptive multi-resolution approach to the numerical simulation of turbulent flows, the separation between resolved energetic structures and unresolved flow motions is achieved through the application of a wavelet thresholding filter. For very small threshold values, the effect of residual motions upon the resolved flow dynamics can be completely neglected, which leads to the adaptive Wavelet-based Direct Numerical Simulation (W-DNS) approach.

Notes

Acknowledgements

This work was supported by the Russian Science Foundation (Project 16-11-10350). This support is gratefully acknowledged. Authors are also thankful for the computing time on the Janus supercomputer, which was supported by the US National Science Foundation (award number CNS-0821794) and the University of Colorado Boulder. The Janus supercomputer was a joint effort of the University of Colorado Boulder, the University of Colorado Denver and the US National Center for Atmospheric Research.

References

  1. 1.
    Beaudan, P., Moin, P.: Numerical experiments on the flow past a circular cylinder at sub-critical Reynolds number, Mech Eng Dept, Stanford University, No. TF-62 (1994)Google Scholar
  2. 2.
    Brown-Dymkoski, E., Kasimov, N., Vasilyev, O.V.: A characteristic based volume penalization method for general evolution problems applied to compressible viscous flows. J. Comput. Phys. 262, 344–357 (2014)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Brown-Dymkoski, E., Vasilyev, O.V.: Adaptive-anisotropic wavelet collocation method on general curvilinear coordinate systems. J. Comput. Phys. 333, 414–426 (2017)MathSciNetCrossRefGoogle Scholar
  4. 4.
    De Stefano, G., Brown-Dymkoski, E., Vasilyev, O.V.: Wavelet-based adaptive unsteady Reynolds-averaged turbulence modelling of external flows. J. Fluid Mech. 837, 765–787 (2018)MathSciNetCrossRefGoogle Scholar
  5. 5.
    De Stefano, G., Nejadmalayeri, A., Vasilyev, O.V.: Wall-resolved wavelet-based adaptive large-eddy simulation of bluff-body flows with variable thresholding. J. Fluid Mech. 788, 303–336 (2016)MathSciNetCrossRefGoogle Scholar
  6. 6.
    De Stefano, G., Vasilyev, O.V.: A fully adaptive wavelet-based approach to homogeneous turbulence simulation. J. Fluid Mech. 695, 149–172 (2012)MathSciNetCrossRefGoogle Scholar
  7. 7.
    De Stefano, G., Vasilyev, O.V.: Wavelet-based adaptive simulations of three-dimensional flow past a square cylinder. J. Fluid Mech. 748, 433–456 (2014)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Goldstein, D.E., Vasilyev, O.V., Kevlahan, N.K.-R.: CVS and SCALES simulation of 3D isotropic turbulence. J. Turbul. 6, 1–20 (2005)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Kevlahan, N.K.-R., Vasilyev, O.V.: An adaptive wavelet collocation method for fluid-structure interaction at high Reynolds numbers. SIAM J. Sci. Comput. 26, 1894–1915 (2005)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Naito, H., Fukagata, K.: Numerical simulation of flow around a circular cylinder having porous surface. Phys. Fluids 24, 117102 (2012)CrossRefGoogle Scholar
  11. 11.
    Sen, S., Mittal, S., Biswas, G.: Steady separated flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 620, 89–119 (2009)CrossRefGoogle Scholar
  12. 12.
    Vasilyev, O.V., Kevlahan, N.K.-R.: Hybrid wavelet collocation-Brinkman Penalization method for complex geometry flows. Int. J. Num. Methods Fluids 40, 531–538 (2002)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • G. De Stefano
    • 1
    Email author
  • E. Brown-Dymkoski
    • 2
  • O. V. Vasilyev
    • 3
    • 4
  1. 1.Dipartimento di IngegneriaUniversità della CampaniaAversaItaly
  2. 2.Department of Mechanical EngineeringUniversity of ColoradoBoulderUSA
  3. 3.Adaptive Wavelet TechnologiesSuperiorUSA
  4. 4.Skolkovo Institute of Science and TechnologyMoscowRussia

Personalised recommendations