Skip to main content

Study of Incompressible Flows in Rectangular Channels Using High Order Schemes and Parallel Computing

  • Chapter
Computation of Three-Dimensional Complex Flows

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 49))

  • 268 Accesses

Abstract

Results from the parallelization of a three-dimensional incompressible Navier-Stokes programme are presented. The programme is based on the artificial compressibility method for coupling the continuity with the momentum equations. The convection terms are discretized by a third order upwind characteristic based method. Second order central differences are used for the viscous terms. The time integration is obtained by an explicit Runge-Kutta scheme. The Navier-Stokes method has been parallelized using shared memory as well as message-passing models. Computations have been performed for a straight three-dimensional channel of rectangular cross-section. The efficiency of the parallel models is presented for different grid sizes and number of processors.

the initial part of the work was done when the author was still at the Department of Fluid Mechanics of the University of Erlangen-Nuremberg

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Drikakis, D., Durst, F., 1994, Numerical simulation of three-dimensional incompressible flows by using high order schemes, 1995, Proceedings of the Second Summer Conference on Numerical Modelling in Continuum Mechanics held in Prague, 22–25 August 1994, Edited by M. Feistauer et al., pp 79–88.

    Google Scholar 

  2. Drikakis, D., Govatsos, P., Papantonis, D., 1994, A characteristic based method for incompressible flows, Int. J. Num. Meth. Fluids, 19, pp 667–685.

    Article  MathSciNet  MATH  Google Scholar 

  3. Beavers, G. S., Sparrow, E. M., Magnusson, R. A., 1970, Experiments on hydrodynamically developing flow in rectangular ducts, Int. J. of Heat Mass and Transfer, 13, No. 4, pp. 689–693.

    Article  Google Scholar 

  4. Goldstein, R. J., Kreid, D. K., 1967, Measurement of laminar flow development in a square duct using a laser-doppler flowmeter, J. of Applied Mechanics, Series E, 89, No. 4, pp. 813–818.

    Article  Google Scholar 

  5. Drikakis, D., Schreck, E., Durst, F., 1994, Performance analysis of viscous flow computations on various parallel architectures, ASME Journal of Fluids Engineering, 1994, 116, 835–841.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Michel Deville Spyros Gavrilakis Inge L. Ryhming

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Drikakis, D., Zahner, R. (1996). Study of Incompressible Flows in Rectangular Channels Using High Order Schemes and Parallel Computing. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-89838-8_8

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-89840-1

  • Online ISBN: 978-3-322-89838-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics