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Mesoscopic particle models of fluid flows

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Stochastic Methods in Fluid Mechanics

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 548))

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Abstract

We review the general ideas behind coarse-grained representations of fluid dynamics, with special focus on two mesoscopic techniques which have proven particularly successful over the last two decades for the simulation of complex fluid flows, namely Dissipative Particle Dynamics and the Lattice Boltzmann method.

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Bibliography

  1. Coarse Graining of Condensed Phase and Biomolecular Systems, G. Voth editor, CRC Press, 2009; P. Castiglione, M. Falcioni, A. Lesne and A. Vulpiani, Chaos and Coarse Graining in Statistical Mechanics, Cambridge Univ. Press, 2008

    Google Scholar 

  2. B. Boghosian and S. Succi, in preparation

    Google Scholar 

  3. M. Briscolini et al, Phys. Rev. E, 50, 1745, (1994)

    Article  Google Scholar 

  4. E. Flekkoy and P. Coveney, Phys. Rev. Lett., 83, 1775 (1999)

    Article  Google Scholar 

  5. R. Ruud and J. Broughton, Phys. Rev. B, 58, (1998)

    Google Scholar 

  6. D. Kauzlaric, P. Espanol, A. Greiner and S. Succi, Macromol. Theory and Simulation, 20, 526 (2011)

    Article  Google Scholar 

  7. R. Zwanzig, Non-equilibrium Statistical Mechanics, Oxford Univ. Press, 2000

    Google Scholar 

  8. J. Hoogerbrugge and J. Koelman, EPL 19, 155, (1992)

    Article  Google Scholar 

  9. I. Vattulainen et al J. Chem. Phys., 11, 3967 (2002)

    Article  Google Scholar 

  10. P. Espanol and P. Warren, EPL 30, 191, (1995)

    Article  Google Scholar 

  11. R.D. Groot and P. Warren, J. Chem. Phys. 107, 4423, (1997)

    Article  Google Scholar 

  12. E. Moeendarbary, T.Y. Ng and N. Zangeneh, Int. J. of App. Math. 1, 737, (2009)

    Google Scholar 

  13. B. Chopard and D. Droz, Cambridge Univ. Press, (1999)

    Google Scholar 

  14. U. Frisch, B. Hasslacher, Y. Pomeau, Phys. Rev. Lett. 56, 1505, (1986)

    Article  Google Scholar 

  15. S. Succi, The Lattice Boltzmann Equation, Oxford Univ. Press, (2001); R. Benzi, S. Succi, M. Vergassola, Phys. Rep. 222, 145, (1992); S. Chen and G. Doolen, Annu. Rev. Fluid. Mech., 30, 329 (1998); C. Aidun and Annu. Rev. Fluid. Mech., 42, 439 (2010);

    Google Scholar 

  16. S. Succi, Europ. Phys. J. B, 64, 471 (2008)

    Article  Google Scholar 

  17. Y.H. Qian, D. d’Humieres and P. Lallemand, Europhys. Lett., 17, 479 (1992)

    Article  MATH  Google Scholar 

  18. I. Karlin, A. Gorban, S. Succi and V. Boffi, Phys. Rev. Lett., 81, 6 (1998)

    Article  Google Scholar 

  19. X. Shan and H. Chen, Phys. Rev. E, 47, 1815 (1993)

    Article  Google Scholar 

  20. F. Alexander, S. Chen and J. Sterling, Phys. Rev. E, 53, 2289, (1993)

    Google Scholar 

  21. X. He, S. Chen and G. Doolen, J. Comp. Phys., 146, 282, (1998)

    Article  MathSciNet  MATH  Google Scholar 

  22. M. Sbragaglia et al, J. Fluid Mech., 628, 299, (2009)

    Article  MathSciNet  MATH  Google Scholar 

  23. A. Ladd, J. Fluid Mech., 271, 285 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  24. Tony was kind enough to send me an email, asking whether, in my opinion, adding noise to LB would be an interesting move. My answer was very skeptical, a big mistake I sorely regret. Good enough that Tony did not heed at my skepticism, and went on to develop his beautiful work...

    Google Scholar 

  25. R. Adhikari et al, EPL 71, 473, (2001)

    Article  Google Scholar 

  26. B. Duenweg and A. Ladd, Adv. Polym. Sci., 221, 89, (2009)

    Google Scholar 

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Succi, S. (2014). Mesoscopic particle models of fluid flows. In: Chibbaro, S., Minier, J. (eds) Stochastic Methods in Fluid Mechanics. CISM International Centre for Mechanical Sciences, vol 548. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1622-7_4

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  • DOI: https://doi.org/10.1007/978-3-7091-1622-7_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1621-0

  • Online ISBN: 978-3-7091-1622-7

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