Skip to main content

Advertisement

Log in

Large Eddy Simulations Analysis of the Energy Spectrum Without Mutual Friction in Superfluid \( ^{4} \)He: HVBK Model

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The reliability of the filtered on the Hall–Vinen–Bekarevich–Khalatnikov (HVBK) model without mutual friction force is now investigated via some large eddy simulations of freely decaying isotropic superfluid turbulence. The filtered HVBK model is solved using a fully pseudo-spectral method, which is an extension of the classical Rogallo’s method to the two-fluid model. Furthermore, in this paper, we analyze the evolution of various terms constituting the HVBK momentum equations using the balance equation for the energy-spectrum function. Our results are presented in both cases with and without mutual friction force. LES predictions have shown that this mutual friction decreases the energy dissipation of the normal part and the energy transfer is more significant when this force is taken into account.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. C.F. Barenghi, C.J. Swanson, R.J. Donnelly, J. Low Temp. Phys. 100, 385 (1995)

    Article  ADS  Google Scholar 

  2. C.F. Barenghi, V.S. L’vov, P.-E. Roche. arXiv:1306.6248v1 (2013)

  3. P.-E. Roche, C.F. Barenghi, E. Lévêque, EPL 87, 54006 (2009)

    Article  ADS  Google Scholar 

  4. L. Merahi, P. Sagaut, M. Abidat, J. Europhys. Lett. 75, 757 (2006)

    Article  ADS  Google Scholar 

  5. M. Bakhtaoui, L. Merahi, J. Low Temp. Phys. 178, 129 (2015)

    Article  ADS  Google Scholar 

  6. J. Maurer, P. Tabeling, Europhys. Lett. 43, 29 (1998)

    Article  ADS  Google Scholar 

  7. J. Salort, B. Chabaud, E. Lévêque, P.-E. Roche, Europhys. Lett. 97, 34006 (2012)

    Article  ADS  Google Scholar 

  8. W.F. Vinen, Phys. Rev. B 61, 1410 (2000)

    Article  ADS  Google Scholar 

  9. C.F. Barenghi, D.C. Samuels, Phys. Rev. B 60, 1252 (1999)

    Article  ADS  Google Scholar 

  10. W.F. Vinen, J. Low Temp. Phys. 121, 367 (2000)

    Article  ADS  Google Scholar 

  11. K.L. Henderson, C.F. Barenghi, J. Low Temp. Phys. 134, 959 (2004)

    Article  ADS  Google Scholar 

  12. M. Tsubota, T. Araki, S.K. Nemirovskii, Phys. Rev. B 62, 11751 (2000)

    Article  ADS  Google Scholar 

  13. T. Araki, M. Tsubota, S.K. Nemirovskii, Phys. Rev. lett. 89, 145301 (2002)

    Article  ADS  Google Scholar 

  14. S.K. Nemirovskii, M. Tsubota, T. Araki, J. Low Temp. Phys. 126, 1535 (2002)

    Article  ADS  Google Scholar 

  15. T. Araki, M. Tsubota, S.K. Nemirovskii, J. Low Temp. Phys. 126, 303 (2002)

    Article  ADS  Google Scholar 

  16. R.S. Rogallo, NASA Technical Report, TM-73. vol. 203 (1977)

  17. R.H. Kraichnan, J. Fluid Mech. 77, 753 (1976)

    Article  ADS  Google Scholar 

  18. J.P. Chollet, M. Lesieur, J. Atmos. Sci. 38, 2747 (1981)

    Article  ADS  Google Scholar 

  19. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2003)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Bakhtaoui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bakhtaoui, M., Merahi, L. Large Eddy Simulations Analysis of the Energy Spectrum Without Mutual Friction in Superfluid \( ^{4} \)He: HVBK Model. J Low Temp Phys 187, 267–272 (2017). https://doi.org/10.1007/s10909-017-1740-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-017-1740-z

Keywords

Navigation