Experiments in Fluids

, Volume 48, Issue 5, pp 915–925 | Cite as

A realtime observatory for laboratory simulation of planetary flows

  • Sai Ravela
  • John Marshall
  • Chris Hill
  • Andrew Wong
  • Scott Stransky
Research article

Abstract

Motivated by the mid-latitude atmospheric circulation, we develop a system that uses observations from a differentially heated rotating annulus experiment to constrain a numerical simulation in real-time. The coupled physical-numerical system provides a tool to rapidly prototype new methods for state and parameter estimation, and facilitates the study of prediction, predictability, and transport of geophysical fluids where observations or numerical simulations would not independently suffice. A computer vision system is used to extract measurements from the physical simulation, which constrain the model-state of the MIT general circulation model in a hybrid data assimilation approach. Using a combination of parallelism, domain decomposition and an efficient scheme to select ensembles of model-states, we show that estimates that effectively track the fluid-state can be produced. To the best of our knowledge, this is the first realtime coupled system for this laboratory analog of planetary circulation.

References

  1. Arakawa A, Lamb V (1977) Computational design of the basic dynamical processes of the ucla general circulation model. Methods Comput Phys 17:174–267 (Academic Press)MathSciNetGoogle Scholar
  2. Demmel JW, Demmel JW, Heath MT, Heath MT, Vorst HAVD, Vorst HAVD (1997) Applied numerical linear algebra. SIAMGoogle Scholar
  3. Evensen G (2003) The ensemble kalman filter: theoretical formulation and practical implementation. Ocean Dyn 53:342–367CrossRefGoogle Scholar
  4. Geisler JE, Pitcher EJ, Malone RC (1983) Rotating-fluid experiments with an atmospheric general circulation model. J Geophys Res 88(C14):9706–9716CrossRefGoogle Scholar
  5. Gelb A (1974) Applied optimal estimation. MIT Press, Cambridge, MA, USAGoogle Scholar
  6. Hide R (1958) An experimental study of thermal convection in a rotating liquid. Phil Trans Roy Soc A250:441–478Google Scholar
  7. Lee C (1993) Basic instability and transition to chaos in a rapidly rotating annulus on a beta-plane. PhD thesis, University of California, BerkeleyGoogle Scholar
  8. Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20:130–141CrossRefGoogle Scholar
  9. Marshall J, Adcroft A, Hill C, Perelman L, Heisey C (1997a) A finite-volume, incompressible navier stokes model for studies of the ocean on parallel computers. J Geophys Res 102(C3):5753–5766CrossRefGoogle Scholar
  10. Marshall J, Hill C, Perelman L, Adcroft A (1997b) Hydrostatic, quasi-hydrostatic and nonhydrostatic ocean modeling. J Geophys Res 102(C3):5733–5752CrossRefGoogle Scholar
  11. Morita O, Uryu M (1989) Geostrophic turbulence in a rotating annulus of fluid. J Atmos Sci 46(15):2349–2355Google Scholar
  12. Ott E, Hunt BR, Szunyogh I, Zimin A, Kstelich E, Corazza M, Kalnay E, Patil DJ, Yorke JA (2003) A local ensemble kalman filter for atmospheric data assimilation. Technical report. arXiv:physics/0203058 v4, University of MarylandGoogle Scholar
  13. Pedlosky J (1987) Geophysical fluid dynamics. Springer, New YorkMATHGoogle Scholar
  14. Ravela S, Hansen J, Hill C, Marshall J, Hill H (2003) On ensemble-based multiscale assimilation. In: European geophysical union annual congressGoogle Scholar
  15. Ravela S, Marshall J, Hill C, Wong A, Stransky S (2007) A real-time observatory for laboratory simulation of planetary circulation. In: Lecture notes in computer ccience, vol 4487, pp 1155–1162Google Scholar
  16. Read PL (2003) A combined laboratory and numerical study of heat transport by baroclinic eddies and axisymmetric flows. J Fluid Mech 489:301–323Google Scholar
  17. Read PL, Bell MJ, Johnson DW, Small RM (1992) Quasi-periodic and chaotic flow regimes in a thermally driven, rotating fluid annulus. J Fluid Mech 238:599–632CrossRefMathSciNetGoogle Scholar
  18. Read PL, Thomas NPJ, Risch SH (2000) An evaluation of eulerian and semi-lagrangian advection schemes in simulations of rotating, stratified flows in the laboratory. part i: axisymmetric flow. Mon Weather Rev 128:2835–2852CrossRefGoogle Scholar
  19. Sirovich L (1987) Turbulence and the dynamics of coherent structures, part 1: cohrerent structures. Q Appl Math 45(3):561–571MATHMathSciNetGoogle Scholar
  20. Sweby PK (1984) High resolution schemes using flux-limiters for hyperbolic conservation laws. SIAM J Numer Anal 21:995–1011MATHCrossRefMathSciNetGoogle Scholar
  21. Tajima T, Nakamura T (2003) Experiments to study baroclinic waves penetrating into a stratified layer by a quasi-geostrophic potential vorticity equation. Experiments in Fluids 34(6):744–747CrossRefGoogle Scholar
  22. von Larcher T, Egbers C (2005) Experiments on transitions of baroclinic waves in a differentially heated rotating annulus. Nonlinear Process Geophy 12:1044–1041Google Scholar
  23. Wunsch C (1996) The Ocean Circulation Inverse Problem. Cambridge University Press, Cambridge, UKGoogle Scholar
  24. Young R, Read P (2006) Breeding vectors in the rotating annulus as a measure of intrinsic predictability. In: Royal Met. Soc. Annual Student ConferenceGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Sai Ravela
    • 1
  • John Marshall
    • 1
  • Chris Hill
    • 1
  • Andrew Wong
    • 1
  • Scott Stransky
    • 1
  1. 1.Earth, Atmospheric and Planetary SciencesMassachusetts Institute of TechnologyCambridgeUSA

Personalised recommendations