Skip to main content
SpringerLink
Log in

Parallel computation and visualization of 3D, time-dependent, thermal convective flows

  • Conference paper
  • First Online:
Applied Parallel Computing Large Scale Scientific and Industrial Problems (PARA 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1541))

Included in the following conference series:

Abstract

A high-resolution numerical study on parallel systems is reported on three-dimensional (3D), time-dependent, thermal convective flows. Numerical results are obtained for Rayleigh numbers up to 5×107 and for a Prandtl number 0.733 equivalent to that of air, in a cubical enclosure, which is heated differentially at two vertical sidewalls. A parallel implementation of the finite volume method with a multigrid scheme is discussed, and a parallel and distributed visualization system is developed for visualizing the flow. The details of the 3D, time-dependent flow are described. Separations of the flow near the horizontal walls occur, and y-variations of the flow are strong. Periodical flow patterns appear. The 3D solutions for such high Rayleigh number 5×107 become strong convective, time-dependent, and periodical.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Bejan and C. L. Tien. Laminar natural convection heat transfer in a horizontal cavity with different end temperatures. Trans. A.S.M.E.: J. Heat Trans, 100:641–647, 1978.

    Google Scholar 

  2. J.E. Drummond and S.A. Korpela. Natural convection in a shallow cavity. J. Fluid Mech., 182:543–564, 1987.

    Article  Google Scholar 

  3. P. Wang and P.G. Daniels. Numerical solutions for the flow near the end of a shallow laterally heated cavity. J. Eng. Math., 28:211–226, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  4. P. G. Daniels and P. Wang. On the evolution of thermally-driven shallow cavity flows. J. Fluid Mech., 259:107–124, 1994.

    Article  MathSciNet  Google Scholar 

  5. G.D. Mallinson and de Vahl Davis. Three-dimensional natural convection in a box. J. Fluid Mech., 83:1–31, 1977.

    Article  Google Scholar 

  6. T Fusegi, J.M. Hyun, K. Kuwahara, and B. Farouk. A numerical study of three-dimensional nature convection in a differentially heated cubical enclosure. Int. J. Heat Mass Transfer, 34:1543–1557, 1991.

    Article  Google Scholar 

  7. P. Wang. Massively parallel finite volume computation of three-dimensional thermal convective flows. Advances in Engineering Software, 29:451–461, 1998.

    Article  Google Scholar 

  8. S.V. Patankar. Numerical Heat Transfer and Fluid Flow. Hemisphere, New York, 1980.

    MATH  Google Scholar 

  9. S.F. McCormick. Multilevel Adaptive Methods for Partial Differential Equations. Frontiers on Applied Mathematics, SIAM, Philadelphia, 1989.

    MATH  Google Scholar 

  10. L. Westover. Footprint evaluation for volume rendering. Computer Graphics, Proceedings of Siggraph, 24, 1990.

    Google Scholar 

  11. P. Li and et. al. Parvox—a parallel splatting volume rendering system for distributed visualization. Proceedings of the 1997 IEEE Parallel Rendering Symposium, pages 7–14, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology, MS 168-522, 4800 Oak Grove Drive, 91109-8099, Pasadena, CA, U.S.A.

    Ping Wang & Peggy Li

Authors
  1. Ping Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peggy Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Bo Kågström Jack Dongarra Erik Elmroth Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, P., Li, P. (1998). Parallel computation and visualization of 3D, time-dependent, thermal convective flows. In: Kågström, B., Dongarra, J., Elmroth, E., Waśniewski, J. (eds) Applied Parallel Computing Large Scale Scientific and Industrial Problems. PARA 1998. Lecture Notes in Computer Science, vol 1541. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095383

Download citation

  • DOI: https://doi.org/10.1007/BFb0095383

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65414-8

  • Online ISBN: 978-3-540-49261-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation