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ODT: Stochastic Simulation of Multi-scale Dynamics

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Book cover Interdisciplinary Aspects of Turbulence

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References

  1. Toro, E.F.: Riemann Solvers and Numerical Methods for Fluid Dynamics, 2nd edn. Springer, Berlin Heidelberg New York (1999)

    Book  Google Scholar 

  2. Alder, B.J., Ladd, A.J.C.: Simulation by molecular dynamics. In: Trigg, G.L. (ed.) Encyclopedia of Applied Physics, vol 18, p. 281 VCH, New York (1997)

    Google Scholar 

  3. Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific, Singapore (2003)

    Book  Google Scholar 

  4. Flekkøy, E.G., Coveney, P.V., De Fabritiis, G.: Phys. Rev. E 62, 2140 (2000)

    Article  ADS  Google Scholar 

  5. Succi, S.: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Oxford Univ. Press, Oxford (2001)

    MATH  Google Scholar 

  6. Pope, S.B.: Prog. Energy Combust. Sci. 11, 119 (1985)

    Article  ADS  Google Scholar 

  7. Leonard, A.: J. Comput. Phys. 37, 289 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  8. Leonard, A.: Annu. Rev. Fluid Mech. 17, 523 (1985)

    Article  ADS  Google Scholar 

  9. Winckelmans, G.S., Leonard, A.: J. Comput. Phys. 109, 247 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  10. Sagaut, P.: Large Eddy Simulation for Incompressible Flows, 3rd edn. Springer, Berlin Heidelberg New York (2006)

    MATH  Google Scholar 

  11. Frisch, U.: Turbulence: The Legacy of A.N. Kolmogorov. Cambridge Univ. Press, Cambridge (1995)

    Book  Google Scholar 

  12. Yakhot, V., Sreenivasan, K.R.: J. Stat. Phys., (2006)

    Google Scholar 

  13. Dreeben, T.D., Kerstein, A.R.: Int. J. Heat Mass Transf. 43, 3823 (2000)

    Article  Google Scholar 

  14. Randall, D.A., Khairoutdinov, M., Arakawa, A., Grabowski, W.: Bull. Amer. Meteor. Soc. 84, 1547 (2003)

    Article  Google Scholar 

  15. Krueger, S.K.: J. Atmos. Sci. 45, 2221 (1988)

    Article  ADS  Google Scholar 

  16. Xu, K.-M., Krueger, S.K.: Mon. Wea. Rev. 119, 342 (1991)

    Article  ADS  Google Scholar 

  17. Randall, D.A., Xu, K.-M., Somerville, R.C.J., Iacobellis, S.F.: J. Climate 9, 1683 (1996)

    Article  ADS  Google Scholar 

  18. Jung, J.-H., Arakawa, A.: Mon. Wea. Rev. 133, 649 (2005)

    Article  ADS  Google Scholar 

  19. Townsend, A.A.: The Structure of Turbulent Shear Flow, 2nd edn. Cambridge Univ. Press, Cambridge (1976)

    MATH  Google Scholar 

  20. Peters, N.: Turbulent Combustion. Cambridge Univ. Press, Cambridge (2000)

    Book  Google Scholar 

  21. Schmidt, R.C., Kerstein, A.R., McDermott, R.: Comput. Meth. Appl. Mech. Eng., in press (2008)

    Google Scholar 

  22. Chakravarthy, V.K., Menon, S.: Flow Turb. Combust. 65, 133 (2000)

    Article  Google Scholar 

  23. Chakravarthy, V.K., Menon, S.: Combust. Sci. Tech. 162, 175 (2001)

    Article  Google Scholar 

  24. Sankaran, V.: Subgrid combustion modeling for compressible two-phase reacting flows. Ph.D. Thesis, Georgia Institute of Technology, Atlanta (2003)

    Google Scholar 

  25. Vincenti, W.G., Kruger, C.H.: Introduction to Physical Gas Dynamics. Krieger, Melbourne (1975)

    Google Scholar 

  26. Xu, X., Lee, J.S., Pletcher, R.H.: J. Comput. Phys. 203, 22 (2005)

    Article  ADS  Google Scholar 

  27. Batchelor, G.K., An Introduction to Fluid Dynamics. Cambridge University Press, New York (1977)

    Google Scholar 

  28. Chekhlov, A., Yakhot, V.: Phys. Rev. E 51, R2739 (1995)

    Article  ADS  Google Scholar 

  29. Juneja, A., Lathrop, D.P., Sreenivasan, K.R., Stolovitzky, G.: Phys. Rev. E 49, 5179 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  30. Vicsek, T., Barabési, A.-L.: J. Phys. A: Math. Gen. 24, L845 (1991)

    Article  ADS  Google Scholar 

  31. Kerstein, A.R., Krueger, S.K.: Phys. Rev. E 73, 025302(R) (2006)

    Article  ADS  Google Scholar 

  32. Kerstein, A.R.: J. Fluid Mech. 392, 277 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  33. Kerstein, A.R.: J. Fluid Mech. 231, 361 (1991)

    Article  ADS  Google Scholar 

  34. McDermott, R.J.: Toward one-dimensional turbulence subgrid closure for large-eddy simulation. Ph.D. Thesis, University of Utah, Salt Lake City (2005)

    Google Scholar 

  35. McDermott, R.J., Kerstein, A.R., Schmidt, R.C., Smith, P.J.: J. Turbul. 6, 1 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  36. Kerstein, A.R.: J. Stat. Phys. 45, 921 (1986)

    Article  ADS  Google Scholar 

  37. Bramson, M., Calderoni, P., De Masi, A., Ferrari, P.A., Lebowitz, J.L., Schonmann, R.H.: J. Stat. Phys. 45, 905 (1986)

    Article  ADS  Google Scholar 

  38. Kerstein, A.R.: Proc. Combust. Inst. 21, 1281 (1988)

    Article  Google Scholar 

  39. Kerstein, A.R.: Combust. Sci. Tech. 60, 391 (1988)

    Article  Google Scholar 

  40. Kerstein, A.R.: Combust. Sci. Tech. 81, 75 (1992)

    Article  Google Scholar 

  41. Kerstein, A.R.: Phys. Fluids A 3, 1110 (1991)

    Article  ADS  Google Scholar 

  42. Kerstein, A.R.: J. Fluid Mech. 240, 289 (1992)

    Article  ADS  Google Scholar 

  43. McMurtry, P.A., Gansauge, T.C., Kerstein, A.R., Krueger, S.K.: Phys. Fluids A 5, 1023 (1993)

    Article  ADS  Google Scholar 

  44. Cremer, M.A., McMurtry, P.A., Kerstein, A.R.: Phys. Fluids 6, 2143 (1994)

    Article  ADS  Google Scholar 

  45. Kerstein, A.R., McMurtry, P.A.: Phys. Rev. E 50, 2057 (1994)

    Article  ADS  Google Scholar 

  46. Kerstein, A.R., Cremer, M.A., McMurtry, P.A.: Phys. Fluids 7, 1999 (1995)

    Article  ADS  Google Scholar 

  47. Kerstein, A.R., Wunsch, S.: Bound. Layer Meteorol. 118, 325 (2006)

    Article  ADS  Google Scholar 

  48. Kerstein, A.R.: Dyn. Atmos. Oceans 30, 25 (1999)

    Article  ADS  Google Scholar 

  49. Wunsch, S., Kerstein, A.R.: Phys. Fluids 13, 702 (2001)

    Article  ADS  Google Scholar 

  50. Wunsch, S.: Phys. Fluids 15, 1442 (2003)

    Article  ADS  Google Scholar 

  51. Wunsch, S., Kerstein, A.R.: J. Fluid Mech. 528, 173 (2005)

    Article  ADS  Google Scholar 

  52. Kerstein, A.R., Dreeben, T.D.: Phys. Fluids 12, 418 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  53. Kerstein, A.R., Ashurst, Wm.T., Wunsch, S., Nilsen, V.: J. Fluid Mech. 447, 85 (2001)

    Article  ADS  Google Scholar 

  54. Ashurst, Wm.T., Kerstein, A.R.: Phys. Fluids 17, 025107 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  55. Echekki, T., Kerstein, A.R., Chen, J.-Y., Dreeben, T.D.: Combust. Flame 125, 1083 (2001)

    Article  Google Scholar 

  56. Hewson, J.C., Kerstein, A.R.: Combust. Theor. Model. 5, 669 (2001)

    Article  ADS  Google Scholar 

  57. Hewson, J.C., Kerstein, A.R.: Combust. Sci. Tech. 174, 35 (2002)

    Article  Google Scholar 

  58. Niemeyer, J.C., Kerstein, A.R.: Combust. Sci. Tech. 128, 343 (1997)

    Article  Google Scholar 

  59. Emanuel, K.A.: Atmospheric Convection. Oxford Univ. Press, New York (1994)

    Google Scholar 

  60. Snyder, D.L., Miller, M.I.: Random Point Processes in Time and Space, 2nd edn. Springer-Verlag, New York (1991)

    Book  Google Scholar 

  61. Turner, J.S.: Buoyancy Effects in Fluids, 2nd edn. Cambridge Univ. Press, Cambridge (1979)

    MATH  Google Scholar 

  62. L’Ecuyer, P.: Random number generation. In: Gentle, J.E., Haerdle, W., Mori, Y., (eds.) Handbook of Computational Statistics. Springer–Verlag, Berlin (2004) chap 2

    Google Scholar 

  63. Law, A.M., Kelton, W.D.: Simulation Modeling and Analysis, 3rd edn. McGraw-Hill, New York (2000)

    MATH  Google Scholar 

  64. Schmidt, R.C., Kerstein, A.R., Wunsch, S., Nilsen, V.: J. Comput. Phys. 186, 317 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  65. Kerstein, A.R.: Computer Phys. Commun. 148, 1 (2002)

    Article  ADS  Google Scholar 

  66. Siggia, E.D.: Annu. Rev. Fluid Mech. 26, 137 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  67. Grossmann, S., Lohse, D.: Phys. Fluids 16, 4462 (2004)

    Article  ADS  Google Scholar 

  68. Ecke, R.E.: unpublished 329

    Google Scholar 

  69. Sreenivasan, K.R., Bershadskii, A., Niemela, J.J.: Phys. Rev. E 65, 056306 (2002)

    Article  ADS  Google Scholar 

  70. Cabot, W., Moin, P.: Flow Turb. Combust. 63, 269 (1999)

    Article  Google Scholar 

  71. Piomelli, U., Balaras, E.: Annu. Rev. Fluid Mech. 34, 349 (2002)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Combustion Research Facility, Sandia National Laboratories, Livermore, California, 94551-0969, USA

    A. R. Kerstein

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  1. A. R. Kerstein
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Correspondence to A. R. Kerstein .

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Editors and Affiliations

  1. MPI für Astrophysik, 85741, Garching, Germany

    Wolfgang Hillebrandt  & Friedrich Kupka  & 

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Kerstein, A.R. (2008). ODT: Stochastic Simulation of Multi-scale Dynamics. In: Hillebrandt, W., Kupka, F. (eds) Interdisciplinary Aspects of Turbulence. Lecture Notes in Physics, vol 756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78961-1_8

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  • DOI: https://doi.org/10.1007/978-3-540-78961-1_8

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