Evidence for a real-time singularity in hydrodynamics from time series analysis

Physical Review Letters

Volumn 79, Issue 25, 1997, Pages 4998-5001

  Pelz, R B ^a   Gulak, Y ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; MATHEMATICAL MODELS; POLYNOMIALS; STRAIN RATE; TIME SERIES ANALYSIS; TURBULENCE; VORTEX FLOW;

EULER TRANSFORMATION; TAYLOR-GREEN VORTEX; TURBULENCE SIMULATION;

HYDRODYNAMICS;

EID: 6144230088     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.79.4998     Document Type: Article

References (20)

1. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
2. C. R. Doering and J. D. Gibbon, Applied Analysis of the Navier-Stokes Equations (Cambridge University Press, Cambridge, 1995).
3. R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis (SIAM, Philadelphia, 1995).
4. C. Marchioro and M. Pulvirenti, The Mathematical Theory of Incompressible Nonviscous Fluids (Springer, New York, 1991).
5. J. T. Beale, T. Kato, and A. Majda, Commun. Math. Phys. 94, 61 (1985).CMPHAY
6. O. N. Boratav and R. B. Pelz, Phys. Fluids 6, 2757 (1994).PFLDAS
7. R. B. Pelz, Phys. Rev. E 55, 1617 (1997).PLEEE8
8. G. I. Taylor and A. E. Green, Proc. R. Soc. London A 158, 499 (1937).PRLAAZ
9. G. A. Baker and P. Grave-Morris, Padé Approximates, Part I: Basic Theory (Addison-Wesley, Reading, 1981).
10. M. Van Dyke, SIAM J. Appl. Math. 28 720 (1975).
11. R. H. Morf, S. A. Orszag, and U. Frisch, Phys. Rev. Lett. 44, 572 (1980).PRLTAO
12. M. E. Brachet, D. I. Meiron, S. A. Orszag, B. G. Nickel, R. H. Morf, and U. Frisch, J. Fluid. Mech. 130, 441 (1983).JFLSA7
13. M. E. Brachet, M. Meneguzzi, A. Vincent, H. Politano, and P. L. Sulem, Phys. Fluids 4, 2845 (1992).PFLDAS
14. S. Kida, J. Phys. Soc. Jpn. 54, 2132 (1985).JUPSAU
15. J. A. M. Vermaseren, FORM (Computer Algebra Netherland, Amsterdam, 1991).
16. T. Granlund, GMP, 1996, now available by anonymous ftp from sics.se.
17. D. H. Bailey, RNR Technical Report No. RNR-90-022, 1993.
18. B. Salvy and Paul Zimmerman, ACM Trans. on Math. Softw. 20, 163 (1994).ACMSCU
19. O. N. Boratav and R. B. Pelz (unpublished).
20. R. M. Kerr, Phys Fluids A 5, 1725 (1993).PFADE8