Skip to main content
SpringerLink
Log in

On Extension of Near-Wall Non-overlapping Domain Decomposition to Essentially Unsteady Turbulent Flows

  • Conference paper
  • First Online:
Smart Modeling for Engineering Systems (GCM50 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 133))

Abstract

Resolution of a near-wall boundary layer is one of hot topics in turbulence modeling. It often requires most of computational time. A non-overlapping domain decomposition method has turned out to be very efficient to tackle this problem for engineering applications. The method is much more universal than conventional approaches based on wall functions. In our approach, the interface boundary conditions are of Robin type and obtained via transfer of the boundary conditions from the wall to the interface boundary. In the current chapter, the technique is extended to the time-dependent Navier-Stokes equations. As a result, the interface boundary condition remains to be of Robin type but it becomes nonlocal in time since contains a memory term. Unsteady effects are analyzed in the chapter.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Patankar, S.V., Spalding, D.B.: Heat and Mass Transfer in Boundary Layers. Morgan-Grampian Press, London (1967)

    Google Scholar 

  2. Grotjans, H., Menter, F.R.: Wall functions for industrial applications. In: Papailiou KD (eds.) Proceedings of Computational Fluid Dynamics’98, ECCOMAS, vol. 1, issue no. 2, pp. 1112–1117. Wiley, Chichester, UK (1998)

    Google Scholar 

  3. Kalitzin, G., Medic, G., Iaccarino, G., Durbin, P.A.: Near-wall behavior of RANS turbulence models and implications for wall functions. J. Comput. Phys. 204(1), 265–291 (2005)

    Article  Google Scholar 

  4. Craft, T.J., Gant, S.E., Iacovides, H., Launder, B.E.: A new wall function strategy for complex turbulent flows. Numer. Heat Transfer 45(4), 301–318 (2004)

    Article  Google Scholar 

  5. Utyuzhnikov, S.V.: Some new approaches to building and implementation of wall-functions for modeling of near-wall turbulent flows. Comput. Fluids 34(7), 771–784 (2005)

    Article  Google Scholar 

  6. Utyuzhnikov, S.V.: Generalized wall-functions and their application for simulation of turbulent flows. Int. J. Numer. Methods Fluids 47(10–11), 1323–1328 (2005)

    Article  Google Scholar 

  7. Utyuzhnikov, S.V.: The method of boundary condition transfer in application to modeling near-wall turbulent flows. Comput. Fluids 35(10), 1193–1204 (2006)

    Article  Google Scholar 

  8. Utyuzhnikov, S.V.: Robin-type wall functions and their numerical implementation. J. Appl. Numer. Math. 58(10), 1521–1533 (2008)

    Article  MathSciNet  Google Scholar 

  9. Utyuzhnikov, S.V.: Domain decomposition for near-wall turbulent flows. Comput. Fluids 38(9), 1710–1717 (2009)

    Article  MathSciNet  Google Scholar 

  10. Utyuzhnikov, S.V.: Generalized Calderón–Ryaben’kii’s potentials. IMA J. of Appl. Math. 74(1), 128–148 (2009)

    Article  MathSciNet  Google Scholar 

  11. Utyuzhnikov, S.V.: Interface boundary conditions in near-wall turbulence modeling. Comput. Fluids 68, 186–191 (2012)

    Article  MathSciNet  Google Scholar 

  12. Jones, A., Utyuzhnikov, S.V.: Application of a near-wall domain decomposition method to turbulent flows with heat transfer. Comput. Fluids 119, 87–100 (2015)

    Article  MathSciNet  Google Scholar 

  13. Jones, A., Utyuzhnikov, S.V.: A near-wall domain decomposition approach in application to turbulent flow in a diffuser. Appl. Math. Model. 40(1), 329–342 (2016)

    Article  MathSciNet  Google Scholar 

  14. Jones, A., Utyuzhnikov, S.V.: Efficient computation of turbulent flow in ribbed passages using a non-overlapping near-wall domain decomposition method. Comput. Phys. Commun. 217, 1–10 (2017)

    Article  Google Scholar 

  15. Utyuzhnikov, S.V.: Towards development of unsteady near-wall interface boundary conditions for turbulence modelling. Comp. Phys. Commun. 185(11), 2879–2884 (2014)

    Article  Google Scholar 

  16. Panara, D.: Boundary Layer Response to Combustion Instabilities and Associated Heat Transfer. Ph.D. thesis, Universitat Stuttgart (2009)

    Google Scholar 

  17. Schlichting, H., Gersten, K.: Boundary Layer Theory. Springer (1999)

    Google Scholar 

Download references

Acknowledgements

The work was supported by the Russian Science Foundation (Project N 18-19-00098).

Author information

Authors and Affiliations

  1. University of Manchester, Manchester, M13 9PL, UK

    Sergey Utyuzhnikov

  2. Moscow Institute of Physics and Technology (MIPT), 9 Institutskiy Per, Dolgoprudny, Moscow Region, 141701, Russian Federation

    Sergey Utyuzhnikov, Mikhail Petrov, Alexander Chikitkin & Vladimir Titarev

  3. Federal Research Center “Computer Science and Control” of the RAS, 40 Vavilova Ul., Moscow, 119333, Russian Federation

    Vladimir Titarev

Authors
  1. Sergey Utyuzhnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mikhail Petrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Alexander Chikitkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Vladimir Titarev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sergey Utyuzhnikov .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Igor B. Petrov

  2. Department of Applied Computational Geophysics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Alena V. Favorskaya

  3. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  4. Department of Computational Physics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Sergey S. Simakov

  5. Faculty of Engineering and Information Technology, Centre for Artificial Intelligence, University of Technology, Sydney, NSW, Australia

    Lakhmi C. Jain

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Utyuzhnikov, S., Petrov, M., Chikitkin, A., Titarev, V. (2019). On Extension of Near-Wall Non-overlapping Domain Decomposition to Essentially Unsteady Turbulent Flows. In: Petrov, I., Favorskaya, A., Favorskaya, M., Simakov, S., Jain, L. (eds) Smart Modeling for Engineering Systems. GCM50 2018. Smart Innovation, Systems and Technologies, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-030-06228-6_17

Download citation

Publish with us

Policies and ethics

Search

Navigation