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Articles

Monte Carlo science

Pages 544-566 | Received 15 Jan 2020, Accepted 08 Mar 2020, Published online: 19 Mar 2020

References

  • Poincaré H. Science et méthode. Paris: Flammarion; 1920 (English translation in Dover Books; 1952).
  • Kuhn TS. The structure of scientific revolutions. 2nd ed. Chicago (IL): Chicago University Press; 1970.
  • Nilsson N. Artificial intelligence: a new synthesis. San Francisco (CA): Morgan Kaufmann; 1998.
  • Newell A, Simon HA. Computer science as empirical inquiry: symbols and search. Commun ACM. 1976;19(3):113–126. doi: 10.1145/360018.360022
  • Brooks R. Elephants don't play chess. Robot Auton Syst. 1990;6:3–15. doi: 10.1016/S0921-8890(05)80025-9
  • Coveney PV, Dougherty ER, Highfield RR. Big data need big theory too. Philos Trans R Soc A. 2016;374:20160153.
  • Succi S, Coveney PV. Big data: the end of the scientific method? Philos Trans R Soc A. 2018;377:20180145.
  • Voit EO. Perspective: dimensions of the scientific method. PLoS: Comput Biol. 2019;15(9):e1007279.
  • King P, Rowland J, Aubrey W, et al. The robot scientist Adam. Computer. 2009;42(7):46–54. doi: 10.1109/MC.2009.270
  • Brenner MP, Eldredge JD, Freund JB. Perspective on machine learning for advancing fluid mechanics. Phys Rev Fluids. 2019;4:100501. doi: 10.1103/PhysRevFluids.4.100501
  • Jiménez J. Computers and turbulence. Eur J Mech B: Fluids. 2020;79:1–11. doi: 10.1016/j.euromechflu.2019.06.010
  • Mackie J. The cement of the universe: a study of causation. Oxford: Oxford University Press; 1974.
  • Russell B. On the notion of cause. Proc Aristotelian Soc. 1912;13:1–26. doi: 10.1093/aristotelian/13.1.1
  • Popper KR. Science as falsification. In: Conjectures and refutations. London: Routledge; 1963. p. 33–39.
  • Maltrud ME, Vallis GK. Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence. J Fluid Mech. 1991;228:321–342.
  • Voropayev SI, Afanasyev YD, Filippov IA. Horizontal jets and vortex dipoles in a stratified fluid. J Fluid Mech. 1991;227:543–566. doi: 10.1017/S0022112091000241
  • Neely TW, Samson EC, Bradley AS, et al. Observation of vortex dipoles in an oblate Bose–Einstein condensate. Phys Rev Lett. 2010;104:160401. doi: 10.1103/PhysRevLett.104.160401
  • Betchov R. An inequality concerning the production of vorticity in isotropic turbulence. J Fluid Mech. 1956;1:497–504. doi: 10.1017/S0022112056000317
  • Kraichnan RH. Inertial ranges in two-dimensional turbulence. Phys Fluids. 1967;10:1417–1423. doi: 10.1063/1.1762301
  • Batchelor GK. Computation of the energy spectrum in homogeneous two dimensional turbulence. Phys Fluids Suppl. 1969;12:II-233–II-239.
  • Kraichnan RH. Inertial range transfer in two- and three-dimensional turbulence. J Fluid Mech. 1971;47:525–535. doi: 10.1017/S0022112071001216
  • Onsager L. Statistical hydrodynamics. Nuovo Cimento Suppl. 1949;6:279–286. doi: 10.1007/BF02780991
  • Fornberg B. A numerical study of 2-D turbulence. J Comput Phys. 1977;25:1–31. doi: 10.1016/0021-9991(77)90023-7
  • McWilliams JC. The emergence of isolated coherent vortices in turbulent flow. J Fluid Mech. 1984;146:21–43. doi: 10.1017/S0022112084001750
  • McWilliams JC. A demonstration of the suppression of turbulent cascades by coherent vortices in two-dimensional turbulence. Phys Fluids A. 1990;2:547–552. doi: 10.1063/1.857755
  • McWilliams JC. The vortices of two-dimensional turbulence. J Fluid Mech. 1990;219:361–385. doi: 10.1017/S0022112090002981
  • Carnevale GF, McWilliams JC, Pomeau Y, et al. Evolution of vortex statistics in two-dimensional turbulence. Phys Rev Lett. 1991;66:2735–2737. doi: 10.1103/PhysRevLett.66.2735
  • Benzi R, Colella M, Briscolini M, et al. A simple point vortex model for two-dimensional decaying turbulence. Phys Fluids A. 1992;4:1036–1039. doi: 10.1063/1.858254
  • Kraichnan RH, Montgomery D. Two-dimensional turbulence. Rep Prog Phys. 1980;43:547–619. doi: 10.1088/0034-4885/43/5/001
  • Boffetta G, Ecke RE. Two-dimensional turbulence. Ann Rev Fluid Mech. 2012;44:427–451. doi: 10.1146/annurev-fluid-120710-101240
  • Jiménez J. Machine-aided turbulence theory. J Fluid Mech. 2018;854:R1. doi: 10.1017/jfm.2018.660
  • LeCun Y, Bengio Y, Hinton G. Deep learning. Nature. 2015;521:436–444. doi: 10.1038/nature14539
  • Cristianini N, Shawe-Taylor J. An introduction to support vector machines and other kernel-based learning methods. Cambridge: Cambridge University Press; 2000.
  • Pushkarev AV, Bos WJT. Depletion of nonlinearity in two-dimensional turbulence. Phys Fluids. 2014;26:115102. doi: 10.1063/1.4901297
  • Flierl GR, Larichev VD, McWilliams JC, et al. The dynamics of baroclinic and barotropic solitary eddies. Dyn Atmos Oceans. 1980;5:1–41. doi: 10.1016/0377-0265(80)90009-3
  • McWilliams JC. An application of equivalent modons to atmospheric blocking. Dyn Atmos Oceans. 1980;5:43–66. doi: 10.1016/0377-0265(80)90010-X
  • Moisy F, Jiménez J. Geometry and clustering of intense structures in isotropic turbulence. J Fluid Mech. 2004;513:111–133. doi: 10.1017/S0022112004009802
  • Meunier P, Le Dizès S, Leweke T. Physics of vortex merging. C R Phys. 2005;6:431–450. doi: 10.1016/j.crhy.2005.06.003
  • Schaffer S. Making up discovery. In: Boden MA, editor. Dimensions of creativity. Cambridge: MIT Press; 1994. p. 13–51.
  • Arrieta AB, Díaz-Rodríguez N, Del Ser J, et al. Explainable artificial intelligence (XAI): concepts, taxonomies, opportunities and challenges toward responsible AI. Inform Fusion. 2020;58:82–115. doi: 10.1016/j.inffus.2019.12.012
  • Deb K, Gupta H. Introducing robustness in multi-objective optimization. Evol Comput. 2006;14:463–494. doi: 10.1162/evco.2006.14.4.463

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