Fluids

 

High Re Turbulence, Convection..:

  1. 1. "The Origin of Intermittency in Fully Developed Turbulence", E.D. Siggia, Phys. Rev. A 15, 1730 (1977).

  2. 2."A Model of Intermittency in Three-Dimensional Turbulence", E.D. Siggia, Phys. Rev. A 17, 1166 (1978).

  3. 3."Intermittency Effects in a Numerical Simulation of Stationary Three-Dimensional Turbulence", E.D. Siggia and G.S.Patterson, J. Fluid Mech. 86, 567 1978).

  4. 4."Cascade Model of Fully Developed Turbulence", R.M. Kerr and E.D. Siggia, J. Stat. Phys. 49, 543 (1978).

  5. 5."Vortex Dynamics of the Two-Dimensional Turbulent ShearLayer", H. Aref and E.D. Siggia, J. Fluid Mech. 100, 705 (1980).

  6. 6."Numerical Study of Small Scale Intermittency in Three-Dimensional Turbulence", E.D. Siggia, J. Fluid Mech. 107, 375(1981).

  7. 7."Evolution and Breakdown of a Vortex Street in Two Dimensions", H. Aref and E.D. Siggia, J. Fluid Mech. 109, 435(1981).

  8. 8."Point Vortex Simulation of the Inverse Energy Cascade in Two-Dimensional Turbulence", E.D. Siggia and H. Aref, Phys. Fluids 24, 171 (1981).

  9. 9."Invariants for the One-point Vorticity and Strain Rate Correlation Functions", E.D. Siggia, Phys. Fluids 24, 1934 (1981).

  10. 10."Collapse and Amplification of a Vortex Filament", E.D. Siggia, Phys. Fluids 28, 794 (1985).

  11. 11."Incipient Singularities in the Navier-Stokes Equations", A.Pumir and E.D. Siggia, Phys. Rev. Lett. 55, 1749 (1985).

  12. 12."Vortex Dynamics and the Existence of Solutions to the Navier-Stokes Equations", A. Pumir and E.D. Siggia, Physics of Fluids 30,1606 (1987).

  13. 13."A Rapidly Convergent Method for the Inversion of Separable, Positive, Self-Adjoint Discrete Elliptic Operators in Three or More Dimensions", E.D. Siggia and A. Pumir, Journal of Computational Physics 72, 498 (1987).

  14. 14."Collapsing Solutions of the 3-D Euler Equations", A. Pumir and E.D.Siggia, Physics of Fluids, A 2, 220 (1990).

  15. 15."Heat Transport in High Rayleigh Number Convection", B.Shraiman and E. Siggia, Phys. Rev. A. 42, 3650 (1990).

  16. 16."Turbulent Premixed Flames and Sound Generation", P. Clavin and E. Siggia, J. Combustion Science and Technology, 78, 147 (1991).

  17. 17."Finite Time Singularities in the Axisymmetric Three Dimensional Euler Equations", A. Pumir and E.D. Siggia, Phys. Rev. Lett. 68,1511 (1992).

  18. 18."Vortex Morphology and Kelvin's Theorem", A. Pumir, B.Shraiman, and E.D. Siggia, Phys. Rev. A. 45, R5351, (1992).

  19. 19."Development of Singular Solutions to the Axisymmetric Euler Equations", A. Pumir and E.D. Siggia, Phys. Fluids A. 4, 1472, (1992).

  20. 20."The Interface Dynamics for Porous Media Convection", T.Dombre, A. Pumir, and E.D. Siggia, Physica D, 57, 311 (1992).

  21. 21."Skewed Exponential Pressure Distributions from Gaussian Velocities", M. Holzer and E.D. Siggia, Phys. Fluids A5, 2525(1993).

  22. 22."High Rayleigh Number Convection", E.D. Siggia, 26, 137 Ann. Rev. Fluid Mechanics, (1994).

Pattern Formation:

  1. 1."Effect of Distant Sidewalls on Wavenumber Selection in Rayleigh-Bénard Convection", M.C. Cross, P.G. Daniels, P.C.Hohenberg, and E.D. Siggia, Phys. Rev. Lett. 45, 898 (1980)

  2. 2."Dynamics of Defects in Rayleigh-Bénard Convection", E.D.Siggia and A. Zippelius, Phys. Rev. A 24, 1036 (1981).

  3. 3.34. "Phase Winding Solutions in a Finite Container Above the Convective Threshold", M.D. Cross, P.G. Daniels, P.C. Hohenberg, and E.D.Siggia, J. Fluid Mech. 127, 155 (1981).

  4. 4."Pattern Selection in Rayleigh-Bénard Convection Near Threshold", E.D. Siggia and A. Zippelius, Phys. Rev. Lett. 47, 835(1981).

  5. 5."Disappearance of Stable Convection Between Free-Slip Boundaries", E.D. Siggia and A. Zippelius, Phys. Rev. A 26, 1788(1982).

  6. 6."Stability of Finite-Amplitude Convection", A. Zippelius and E.D. Siggia, Phys. Fluids 26, 2905 (1983).

Passive Scalar Mixing:

  1. 1."Exponential Tails and Random Advection", A. Pumir, B.Shraiman, and E. Siggia, Phys. Rev. Lett. 66, 2984 (1991).

  2. 2."Lagrangian Path Integrals and Fluctuations in Random Flow", B. Shraiman and E.D. Siggia, Phys. Rev. E 49, 2912 (1994).

  3. 3."Turbulent Mixing of a Passive Scalar in Two Dimensions", M.Holzer and E.D. Siggia, Phys. of Fluids 6, 1820 (1994).

  4. 4."Anomalous Scaling and Small Scale Anisotropy of a Passive Scalar in Turbulent Flow", B.I. Shraiman and E.D. Siggia, Comptes Rendus del'Acadamie des Science, Paris, 321, 279 (1995).

  5. 5."Scaling and Symmetry of Turbulent Mixing", B.I. Shraiman and E.D.Siggia, Phys. Rev. Lett. 77, 2463 (1996).

  6. 6."Perturbation theory for the delta-correlated model of passive scalar advection near the Batchelor limit",by A. Pumir, B. Shraiman, and E.D. Siggia, Phys. Rev. E. 55, R1263 1997.

  7. 7."Anomalous Scaling for a Passive Scalar near the Batchelor limit", B.I. Shraiman and E. Siggia, Phys. Rev. E, 57, 2965-2977 1998.

  8. 8."Structures and Multipoint Correlators for Turbulent Advection: Predicitons and Experiments", L. Mydlarski, A. Pumir, B. Shraiman, E. Siggia and Z. Warhaft, Phys. Rev. Lett. 81, 4373-6 1998.

  9. 9."Scalar Turbulence", B. Shraiman, E. Siggia, Nature (review) 405, 639-46 (2000).