Discover
/
Article

Nodes, Modes and Flow Codes

MAR 01, 1993
Massively parallel supercomputers seem the best hope for achieving progress on ‘grand challenge’ problems such as understanding high‐Reynolds‐number turbulent flows.

DOI: 10.1063/1.881374

George Em Karniadakis
Steven A. Orszag

Understanding turbulent flows is a “grand challenge” comparable to other prominent scientific problems such as the large‐scale structure of the universe and the nature of subatomic particles. In contrast to many of the other grand challenges, progress on the basic theory of turbulence translates nearly immediately into a wide range of engineering applications and technological advances that affect many aspects of everyday life.

References

  1. 1. “Grand Challenges 1993: High Performance Computing and Communications,” report by the Committee on Physical, Mathematical and Engineering Sciences, Federal Coordinating Council for Science, Engineering and Technology, Washington, D.C. (1992).

  2. 2. H. W. Emmons, Annu. Rev. Fluid Mech. 2, 15 (1970).https://doi.org/ARVFA3

  3. 3. S. A. Orszag, G. S. Patterson, Phys. Rev. Lett. 28, 76 (1972).https://doi.org/PRLTAO

  4. 4. M. Y. Hussaini, R. G. Voigt, eds., Instability and Transition, vols. I and II, Springer‐Verlag, New York (1990).
    J. Kim, P. Moin, R. Moser, J. Fluid Mech. 177, 133 (1987). https://doi.org/JFLSA7
    P. Spalart, J. Fluid Mech. 187, 61 (1988).https://doi.org/JFLSA7

  5. 5. G. E. Karniadakis, Appl. Num. Math. 6, 85 (1989).
    L. Kaiktsis, G. E. Karniadakis, S. A. Orszag, J. Fluid Mech. 231, 501 (1991). https://doi.org/JFLSA7
    A. G. Tomboulides, S. A. Orszag, G. E. Karniadakis, preprint AIAA‐93‐0546, Am. Inst. of Aeronautics and Astronautics, New York (January 1993).

  6. 6. B. Galperin, S. A. Orszag, eds., Large Eddy Simulations of Complex Engineering and Geophysical Flows, Cambridge U.P., New York (1993).

  7. 7. S. A. Orszag, V. Yakhot, W. S. Flannery, F. Boysan, D. Choudhury, J. Maruzewski, B. Patel, in Near‐Wall Turbulent Flows, R. M. So, C. G. Speziale, B. E. Launder, eds., Elsevier, New York (1993).

  8. 8. A. Jameson, Science 245, 361 (1989); https://doi.org/SCIEAS
    A. Jameson, Aerospace America 30, 42 (1992).
    R. K. Agarwal, J. C. Lewis, in Symp. on High Performance Computing for Flight Vehicles, Washington, D.C., 7–9 December 1992, in press. M. Y. Hussaini, in 11th Int. Conf. on Numerical Methods in Fluid Dynamics, D. L. Dwoyer, M. Y. Hussaini, R. G. Voigt, eds., Springer‐Verlag, New York (1989), p. 3.

  9. 9. A. J. Smits, Exp. Thermal Fluid Sci. 5, 579 (1992).

  10. 10. F. T. Leighton, Introduction to Parallel Algorithms and Architectures, Morgan and Kaufmann, San Mateo, Calif. (1992).
    See also IEEE Spectrum, September 1992.

  11. 11. S. L. Johnsson, in Topics in Atmospheric and Oceanic Sciences, Springer‐Verlag, New York (1990), p. 231.

  12. 12. G. E. Amdahl, in Proc. AFIPS Spring Joint Computer Conf., Atlantic City, N.J., 18–20 April 1967, Thompson, Washington, D.C. (1967), p. 483.

  13. 13. J. Dongarra, W. Gentzsch, Parallel Computing 17, 1067 (1991).

  14. 14. A. Wray, R. Rogallo, “Simulation of Turbulence on the Intel Delta Gamma,” NASA Technical Memorandum, April 1992.

  15. 15. S. Chen, G. D. Doolen, R. H. Kraichnan, Z.‐S. She, Phys. Fluids A 5, 458 (1993). https://doi.org/PFADEB
    Z.‐S. She, S. Chen, G. D. Doolen, R. H. Kraichnan, S. A. Orszag, submitted to Phys. Rev. Lett. (1993).

  16. 16. G. E. Karniadakis, S. A. Orszag, E. M. Ronquist, A. T. Patera, in Incompressible Fluid Dynamics, M. D. Gunzburger, R. A. Nicolaides, eds., Cambridge U.P., New York (1993), in press.
    G. E. Karniadakis, S. A. Orszag, in Algorithmic Trends for Computational Fluid Dynamics, M. Y. Hussaini, A. Kumar, M. Salas, eds., Springer‐Verlag, New York (1993), in press.

  17. 17. P. Fischer, A. T. Patera, J. Comput. Phys. 92, 380 (1991).https://doi.org/JCTPAH

  18. 18. A. J. Chorin, J. Comput. Phys. 27, 428 (1978). https://doi.org/JCTPAH
    A. Leonard, J. Comput. Phys. 37, 289 (1980). https://doi.org/JCTPAH
    J. A. Sethian, A. F. Ghoniem, J. Comput. Phys. 74, 283 (1988).https://doi.org/JCTPAH

  19. 19. G. Doolen, ed., Lattice Gas Methods for Partial Differential Equations, Addison‐Wesley, Redwood City, Calif. (1989).
    F. Higuera, S. Succi, R. Benzi, Europhys. Lett. 9, 663 (1989). https://doi.org/EULEEJ
    Y. H. Qian, D. d’Humieres, P. Lallemand, Europhys. Lett. 17, 479 (1992).https://doi.org/EULEEJ

  20. 20. E. S. Oran, J. P. Boris, Numerical Simulation of Reactive Flow, Elsevier, New York (1987).

  21. 21. D. H. Porter, A. Pouquet, P. R. Woodward, Theor. Comput. Fluid Dynamics 4, 13 (1992).

  22. 22. D. Chu, R. D. Henderson, G. E. Karniadakis, Theor. Comput. Fluid Dynamics 3, 219 (1992).
    R. D. Henderson, PhD thesis, Princeton U., Princeton, N.J. (1993).

  23. 23. G. Erlebacher, private communication (1992).

  24. 24. E. S. Oran, J. P. Boris, C. R. Devore, J. Fluid Dynamics Res. 10, 251 (1992).

More about the Authors

George Em Karniadakis. Princeton University.

Steven A. Orszag. Princeton.

This Content Appeared In
pt-cover_1993_03.jpeg

Volume 46, Number 3

Related content
/
Article
Technical knowledge and skills are only some of the considerations that managers have when hiring physical scientists. Soft skills, in particular communication, are also high on the list.
/
Article
Professional societies can foster a sense of belonging and offer early-career scientists opportunities to give back to their community.
/
Article
Interviews offer a glimpse of how physicists get into—and thrive in—myriad nonacademic careers.
/
Article
Research exchanges between US and Soviet scientists during the second half of the 20th century may be instructive for navigating today’s debates on scientific collaboration.

Get PT in your inbox

Physics Today - The Week in Physics

The Week in Physics" is likely a reference to the regular updates or summaries of new physics research, such as those found in publications like Physics Today from AIP Publishing or on news aggregators like Phys.org.

Physics Today - Table of Contents
Physics Today - Whitepapers & Webinars
By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.