Skip to main content
SpringerLink
Log in
Book cover

Computational Science and High Performance Computing IV pp 283–295Cite as

Parallel Lattice-Boltzmann Simulation of Transitional Flow on Non-uniform Grids

  • Conference paper

  • 959 Accesses

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 115))

Abstract

Transitional flows are difficult to address by Reynolds Averaged Navier-Stokes (RANS) simulations as the spectrum is typically not fully developed. In this work the suitability of the lattice Boltzmann method is evaluated for the simulation of transitional flows. Special measures are taken to reduce the computational cost without sacrificing the accuracy of the method. A large eddy simulation turbulence model is employed to allow efficient simulation of the resolved flow structures on relatively coarse computational meshes. In the vicinity of solid walls, where the flow is governed by the presence of a thin boundary layer, local grid-refinement is employed in order to capture the fine structures of the flow. The lattice Boltzmann code is run on an Opteron cluster. In the considered test case, the pressure distribution and the drag force on a sphere are computed in the Reynolds number range 1000 to 10000 and a parallel efficiency of 80% is obtained.

This is a preview of subscription content, 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   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bouzidi, M., Firdaouss, M., Lallemand, P.: Momentum transfer of a lattice-Boltzmann fluid with boundaries. Phys. Fluids 13, 3452–3459 (2002)

    Article  Google Scholar 

  2. Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops and Particles. Academic Press, New York (1978)

    Google Scholar 

  3. Constantinescu, G., Squires, K.: LES and DES investigations of turbulent flow over a sphere at Re=10000. Flow Turbul. Combust. 70(1-4), 267–298 (2003)

    Article  MATH  Google Scholar 

  4. Crouse, B., Rank, E., Krafczyk, M., Tölke, J.: A LB-based approach for adaptive flow simulations. Int. J. Mod. Phys. B 17(1+2), 109–112 (2003)

    Article  Google Scholar 

  5. Freudiger, S.: Entwicklung eines parallelen, adaptiven, komponentenbasierten Strömungskerns für hierarchische Gitter auf Basis des Lattice-Boltzmann-Verfahrens, Ph.D. thesis, iRMB, TU Braunschweig (2009)

    Google Scholar 

  6. Filippova, O., Hänel, D.: Grid refinement for lattice-BGK models. J. Comp. Phys. 147, 219–228 (1998)

    Article  MATH  Google Scholar 

  7. Geller, S., Krafczyk, M., Tölke, J., Turek, S., Hron, J.: Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Comput. Fluids 35, 888–897 (2006)

    Article  MATH  Google Scholar 

  8. D’Humières, D., Ginzburg, I., Krafczyk, M., Lallemand, P., Luo, L.: Multiple-relaxation-time lattice Boltzmann models in three dimensions. Phil. Trans. R. Soc. Lond. A 360, 437–451 (2002)

    Article  MATH  Google Scholar 

  9. Karypis, G., Kumar, V.: METIS - A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices - Version 4.0. (1998), http://glaros.dtc.umn.edu/gkhome/views/metis (last access January 21, 2009)

  10. Krafczyk, M., Tölke, J., Luo, L.-S.: Large-eddy simulations with a multiple-relaxation-time LBE model. Int. J. Mod. Phys. B 17(1/2), 33–39 (2003)

    Article  Google Scholar 

  11. Lallemand, P., Luo, L.-S.: Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Review E 61, 6546–6562 (2000)

    Google Scholar 

  12. Mei, R., Yu, D., Shyy, W., Luo, L.-S.: Force evaluation in the lattice Boltzmann method involving curved geometry. Phys. Review E 65(4), 41203 (2002)

    Article  Google Scholar 

  13. Nicoud, F., Ducros, F.: Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbul. Combust. 62(3), 183–200 (1999)

    Article  MATH  Google Scholar 

  14. Qian, Y., d’Humières, D., Lallemand, P.: Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17, 479–484 (1992)

    Article  MATH  Google Scholar 

  15. Rheinländer, M.: A consistent grid coupling method for Lattice-Boltzmann schemes. J. Statist. Phys. 121, 49–74 (2005)

    Article  MATH  Google Scholar 

  16. Sagaut, P.: Large Eddy Simulation for incompressible flows: an introduction. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  17. Teixeira, C.M.: Incorporating turbulence models into the lattice-Boltzmann method. Int. J. Mod. Phys. C 9(8), 1159–1175 (1998)

    Article  Google Scholar 

  18. Van Driest, E.R.: On turbulent flow near a wall. J. Aero. Sci. 23, 1007–1011 (1956)

    Google Scholar 

  19. Yu, D., Mei, R., Shyy, W.: A multi-block lattice Boltzmann method for viscous fluid flows. International J. Numer. Meth. Fluids 39(2), 99–120 (2002)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Computational Modeling in Civil Engineering, Technische Universität Braunschweig, Mühlenpfordtstraße 4-5, Braunschweig, 38106, Germany

    Maik Stiebler, Sören Freudiger, Manfred Krafczyk & Martin Geier

Authors
  1. Maik Stiebler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sören Freudiger
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Manfred Krafczyk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Martin Geier
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Aerodynamisches Institut, RWTH Aachen, Wuellnerstr. zw. 5 u. 7, 52062, Aachen, Germany

    Egon Krause

  2. Institute of Computational Technologies of SB RAS, Ac. Lavrentiev Ave. 6, 630090, Novosibirsk, Russia

    Yurii Shokin

  3. High Performance Computing Center Stuttgart, University of Stuttgart, Nobelstrasse 19, 70569, Stuttgart, Germany

    Michael Resch

  4. Section of Applied Mathematics, University of Freiburg, Hermann-Herder-Str. 10, 79104, Freiburg, Germany

    Dietmar Kröner  & Nina Shokina  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stiebler, M., Freudiger, S., Krafczyk, M., Geier, M. (2011). Parallel Lattice-Boltzmann Simulation of Transitional Flow on Non-uniform Grids. In: Krause, E., Shokin, Y., Resch, M., Kröner, D., Shokina, N. (eds) Computational Science and High Performance Computing IV. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17770-5_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17770-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17769-9

  • Online ISBN: 978-3-642-17770-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation