Skip to main content

Highly Accurate Numerical Methods for Incompressible 3D Fluid Flows on Parallel Architectures

  • Conference paper
  • First Online:
Parallel Computing Technologies (PaCT 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1662))

Included in the following conference series:

Abstract

We consider an approach to efficient parallel implementa- tion of the high order Control Volume Padé-type Differences (CVPD) applied to spatial time-dependent flow in the mixing tanks. This nu- merical technology allows to obtain very high quality solutions on the block-structured curvilinear grids with sliding grid capability. In some sense it combines the flexibility of the finite volume methods with the accuracy of the spectral methods. However, the payoff for the high accu- racy is that the parallel implementation issues become more complicated as compared to conventional low order approximation methods.

Our objective is to demonstrate that reasonable parallel efficiency can be attainedo n the parallel computer platforms without compromising the high accuracy, when the highly accurate non-local discrete operators and implicit time-steppings are usedas the building blocks of the numerical methods. We present numerical results obtained on CRAY C90, CRAY T3D and IBM SP2.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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 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. Garanzha, V. A., Konshin, V. N.: Highly accurate upwindP adé-Type Approximations for the Systems of the Conservations Laws. I: Application to the Incompressible Navier-Stokes Equations on a Single-Zone Structured Meshes. Computing Center RAS (1996).

    Google Scholar 

  2. Garanzha, V. A., Ibragimov, I. V., Konshin, I. N., Konshin, V. N., Yeremin, A. Yu.: High Order Padé-Type Approximation Methods for Incompressible 3D CFD Problems on Massively Parallel Computers. In: Parallel Computational FluidD ynamics: Implementations andRe sults Using Parallel Computers. Elsevier Science B. V., (1995) 199–205

    Google Scholar 

  3. Garanzha, V. A.: Nonmatching GridT echnique for Highly Accurate Control Volume Padé-type Differences (CVPD), In: Proceedings of 5 Int. Conference on Grid Generation in CFS, Starkville, USA (1996) 647–656

    Google Scholar 

  4. Garanzha, V. A., Kaporin, I. E., Konshin, V. N.: Reliable Flow Solver Basedon the High Order Control Volume Padé-Type Differences. In: Lecture Notes in Physics, Springer, Vol. 515, (1998) 278–283

    Article  Google Scholar 

  5. Ghia, U., Ghia, K. N., Shin, S. T.: High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations anda Multigrid Method. J. Comput. Phys. Vol. 48 (1982) 387–411

    Article  MATH  Google Scholar 

  6. Vanka, S. P.: Block-Implicit MultigridS olution of Navier-Stokes Equations in Primite Variables. J. Comput. Phys. Vol. 65, (1986) 138–158

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Konshin, V.N., Garanzha, V.A. (1999). Highly Accurate Numerical Methods for Incompressible 3D Fluid Flows on Parallel Architectures. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1999. Lecture Notes in Computer Science, vol 1662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48387-X_8

Download citation

  • DOI: https://doi.org/10.1007/3-540-48387-X_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66363-8

  • Online ISBN: 978-3-540-48387-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics