Skip to main content

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 48))

Summary

In the present work a multigrid technique for the solution of elliptic equations is applied to the Kim & Moin fractional step method [1]. The Navier-Stokes equations are discretized on a fixed step grid. This approach allows to obtain a very simple and fast code; furthermore there is no need of special smoothing operators to increase the convergence rate of the multigrid solver. The simulation has been performed on a workstation with a grid of about 750.000 cells.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kim J., Moin P. “Application of a Fractional-Step Method to Incompressible NavierStokes Equations” J. Comput. Phys. 59 (1985), 309.

    Article  MathSciNet  Google Scholar 

  2. Koseff J. R. “Momentum Transfer in a Complex Recirculating Flow” Stanford University, 1983

    Google Scholar 

  3. Koseff J. R., Street R. L. J. Fluids Eng. 106 (1984), 21.

    Article  Google Scholar 

  4. Arakawa A. “Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow.” J. Comp. Phys. 1 (1966), 119.

    Article  MATH  Google Scholar 

  5. Perng C.-Y., Street R. L. “Three-Dimensional Unsteady Flow Simulations: Alternative Strategies for a Volume-Averaged Calculation” Int. J. Numer. Methods Fluids 9 (1989), 341.

    Article  Google Scholar 

  6. Brandt A. “Multi-level Adaptive Solutions to Boundary-Value Problems” Math. Comput. 31 (1977), 333.

    Article  MATH  Google Scholar 

  7. Hackbush W. “Multi-Grid Methods and Applications” Springer-Verlag, 1985.

    Google Scholar 

  8. Drazin P.G., Read W.H. “Hydrodynamic Stability” Cambridge University Press, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Michel Deville Thien-Hiep Lê Yves Morchoisne

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Esposito, P.G. (1992). Numerical Simulation of a Three-Dimensional Lid-driven Cavity Flow. In: Deville, M., Lê, TH., Morchoisne, Y. (eds) Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-00221-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-663-00221-5_6

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-00071-6

  • Online ISBN: 978-3-663-00221-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics