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Автор: Grafiati

Опубліковано: 10 грудня 2022

Оновлено: 28 січня 2023

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1

Giga, Yoshikazu, Matthias Hieber, and Edriss Titi. "Geophysical Fluid Dynamics." Oberwolfach Reports 10, no. 1 (2013): 521–77. http://dx.doi.org/10.4171/owr/2013/10.

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2

Giga, Yoshikazu, Matthias Hieber, and Edriss Titi. "Geophysical Fluid Dynamics." Oberwolfach Reports 14, no. 2 (April 27, 2018): 1421–62. http://dx.doi.org/10.4171/owr/2017/23.

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3

Busse, F. H. "Geophysical Fluid Dynamics." Eos, Transactions American Geophysical Union 68, no. 50 (1987): 1666. http://dx.doi.org/10.1029/eo068i050p01666-02.

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4

Maxworthy, Tony. "Geophysical fluid dynamics." Tectonophysics 111, no. 1-2 (January 1985): 165–66. http://dx.doi.org/10.1016/0040-1951(85)90076-9.

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5

Ajakaiye, D. E. "Geophysical fluid dynamics." Earth-Science Reviews 22, no. 3 (November 1985): 245. http://dx.doi.org/10.1016/0012-8252(85)90068-6.

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6

Rycroft, M. J. "Theoretical Geophysical Fluid Dynamics,." Journal of Atmospheric and Terrestrial Physics 56, no. 11 (September 1994): 1529. http://dx.doi.org/10.1016/0021-9169(94)90119-8.

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7

Samelson, R. M. "Lectures in geophysical fluid dynamics." Eos, Transactions American Geophysical Union 79, no. 45 (1998): 547. http://dx.doi.org/10.1029/98eo00402.

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8

Yano, Jun-Ichi, and Joël Sommeria. "Unstably stratified geophysical fluid dynamics." Dynamics of Atmospheres and Oceans 25, no. 4 (May 1997): 233–72. http://dx.doi.org/10.1016/s0377-0265(96)00478-2.

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9

Robinson, Allan R. "Progress in geophysical fluid dynamics." Earth-Science Reviews 26, no. 1-3 (January 1989): 191–219. http://dx.doi.org/10.1016/0012-8252(89)90022-6.

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10

Giga, Yoshikazu, Matthias Hieber, Peter Korn, and Edriss S. Titi. "Mathematical Advances in Geophysical Fluid Dynamics." Oberwolfach Reports 17, no. 2 (July 1, 2021): 857–76. http://dx.doi.org/10.4171/owr/2020/15.

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11

Holloway, Greg. "Entropic Forces in Geophysical Fluid Dynamics." Entropy 11, no. 3 (August 7, 2009): 360–83. http://dx.doi.org/10.3390/e11030360.

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12

Grooms, Ian, and Keith Julien. "Multiscale Models in Geophysical Fluid Dynamics." Earth and Space Science 5, no. 11 (November 2018): 668–75. http://dx.doi.org/10.1029/2018ea000439.

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13

Pedlosky, Joseph, and J. S. Robertson. "Geophysical Fluid Dynamics by Joseph Pedlosky." Journal of the Acoustical Society of America 83, no. 3 (March 1988): 1207. http://dx.doi.org/10.1121/1.396028.

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14

Harlander, Uwe, Andreas Hense, Andreas Will, and Michael Kurgansky. "New aspects of geophysical fluid dynamics." Meteorologische Zeitschrift 15, no. 4 (August 23, 2006): 387–88. http://dx.doi.org/10.1127/0941-2948/2006/0144.

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15

Duane, Gregory S., and Joseph J. Tribbia. "Synchronized Chaos in Geophysical Fluid Dynamics." Physical Review Letters 86, no. 19 (May 7, 2001): 4298–301. http://dx.doi.org/10.1103/physrevlett.86.4298.

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16

Delhez, Éric J. M., Éric Deleersnijder, and Michel Rixen. "Tracer methods in geophysical fluid dynamics." Journal of Marine Systems 48, no. 1-4 (July 2004): 1–2. http://dx.doi.org/10.1016/j.jmarsys.2004.01.001.

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17

Whitehead, John A., and George Veronis. "Geophysical Fluid Dynamics Program Receives Excellence in Geophysical Education Award." Eos, Transactions American Geophysical Union 89, no. 30 (2008): 272. http://dx.doi.org/10.1029/2008eo300004.

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18

Edwards, Christopher. "BOOK REVIEW | Fundamentals of Geophysical Fluid Dynamics." Oceanography 21, no. 1 (March 1, 2008): 114–15. http://dx.doi.org/10.5670/oceanog.2008.77.

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19

Vallis, Geoffrey K. "Geophysical fluid dynamics: whence, whither and why?" Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2192 (August 2016): 20160140. http://dx.doi.org/10.1098/rspa.2016.0140.

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Анотація:

This article discusses the role of geophysical fluid dynamics (GFD) in understanding the natural environment, and in particular the dynamics of atmospheres and oceans on Earth and elsewhere. GFD, as usually understood, is a branch of the geosciences that deals with fluid dynamics and that, by tradition, seeks to extract the bare essence of a phenomenon, omitting detail where possible. The geosciences in general deal with complex interacting systems and in some ways resemble condensed matter physics or aspects of biology, where we seek explanations of phenomena at a higher level than simply directly calculating the interactions of all the constituent parts. That is, we try to develop theories or make simple models of the behaviour of the system as a whole. However, these days in many geophysical systems of interest, we can also obtain information for how the system behaves by almost direct numerical simulation from the governing equations. The numerical model itself then explicitly predicts the emergent phenomena—the Gulf Stream, for example—something that is still usually impossible in biology or condensed matter physics. Such simulations, as manifested, for example, in complicated general circulation models, have in some ways been extremely successful and one may reasonably now ask whether understanding a complex geophysical system is necessary for predicting it. In what follows we discuss such issues and the roles that GFD has played in the past and will play in the future.

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20

CHUESHOV, IGOR, JINQIAO DUAN, and BJÖRN SCHMALFUSS. "PROBABILISTIC DYNAMICS OF TWO-LAYER GEOPHYSICAL FLOWS." Stochastics and Dynamics 01, no. 04 (December 2001): 451–75. http://dx.doi.org/10.1142/s0219493701000229.

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Анотація:

The two-layer quasigeostrophic flow model is an intermediate system between the single-layer two-dimensional barotropic flow model and the continuously stratified three-dimensional baroclinic flow model. This model is widely used to investigate basic mechanisms in geophysical flows, such as baroclinic effects, the Gulf stream and subtropical gyres. We consider the two-layer quasigeostrophic flow model under stochastic wind forcing on the top layer. The fluctuating part of the wind forcing is modeled as the generalized time derivative of a Wiener process. We first transform this stochastic two-layer fluid system into a coupled system of random partial differential equations. Then we prove that the stochastic two-layer fluid system has finite sets of asymptotically determining functionals (such as determining modes and determining nodes) in probability. Furthermore, we show that the asymptotic probabilistic dynamics of this system depends only on the top fluid layer. Namely, in the probability sense and asymptotically, the dynamics of the two-layer quasigeostrophic fluid system is determined by the top layer. In other words, the bottom layer is slaved by the top layer. This conclusion is true provided that the Wiener process and the fluid parameters satisfy a certain condition. In particular, this latter condition is satisfied when the trace of the covariance operator of the Wiener process is small enough and the Ekman constant r is sufficiently large.

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21

J. Early, Jeffrey, Juha Pohjanpelto, and Roger M. Samelson. "Group foliation of equations in geophysical fluid dynamics." Discrete & Continuous Dynamical Systems - A 27, no. 4 (2010): 1571–86. http://dx.doi.org/10.3934/dcds.2010.27.1571.

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22

Bennett, A. F., and B. S. Chua. "Open Boundary Conditions for Lagrangian Geophysical Fluid Dynamics." Journal of Computational Physics 153, no. 2 (August 1999): 418–36. http://dx.doi.org/10.1006/jcph.1999.6284.

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23

van Leeuwen, Peter Jan. "Efficient nonlinear data-assimilation in geophysical fluid dynamics." Computers & Fluids 46, no. 1 (July 2011): 52–58. http://dx.doi.org/10.1016/j.compfluid.2010.11.011.

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24

Ma, Tian, and Shouhong Wang. "Dynamic transitions in classical and geophysical fluid dynamics." PAMM 7, no. 1 (December 2007): 1101503–4. http://dx.doi.org/10.1002/pamm.200700544.

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25

Harlander, U., A. Will, M. V. Kurgansky, and M. Ehrendorfer. "Editorial "Topics in modern geophysical fluid dynamics"." Advances in Geosciences 15 (March 12, 2008): 1. http://dx.doi.org/10.5194/adgeo-15-1-2008.

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26

Dymnikov, V. P. "Milestones of the development of computational geophysical fluid dynamics." Russian Meteorology and Hydrology 40, no. 6 (June 2015): 359–64. http://dx.doi.org/10.3103/s1068373915060011.

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27

Whitehead, J. A., W. Gregory Lawson, and John Salzig. "Multistate flow devices for geophysical fluid dynamics and climate." American Journal of Physics 69, no. 5 (May 2001): 546–53. http://dx.doi.org/10.1119/1.1339278.

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28

Fortak, Heinz. "Material derivatives of higher dimension in geophysical fluid dynamics." Meteorologische Zeitschrift 13, no. 6 (December 23, 2004): 499–510. http://dx.doi.org/10.1127/0941-2948/2004/0013-0499.

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29

Haynes, Peter. "Wave packets and their bifurcations in geophysical fluid dynamics." Journal of Atmospheric and Terrestrial Physics 58, no. 7 (May 1996): 927–28. http://dx.doi.org/10.1016/s0021-9169(96)90055-0.

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30

Döznbrack, Andreas. "Numerical Methods for Wave Equations in Geophysical Fluid Dynamics." European Journal of Mechanics - B/Fluids 20, no. 1 (January 2001): 158–59. http://dx.doi.org/10.1016/s0997-7546(00)01114-6.

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31

van Leeuwen, Peter Jan, and Melanie Ades. "Efficient fully nonlinear data assimilation for geophysical fluid dynamics." Computers & Geosciences 55 (June 2013): 16–27. http://dx.doi.org/10.1016/j.cageo.2012.04.015.

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32

Añel, Juan A. "Fundamentals of Geophysical Fluid Dynamics, by James C. McWilliams." Contemporary Physics 54, no. 2 (April 2013): 114–15. http://dx.doi.org/10.1080/00107514.2013.800138.

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33

Sadourny, Robert, and Karine Maynard. "Formulations of Lateral Diffusion in Geophysical Fluid Dynamics Models." Atmosphere-Ocean 35, sup1 (January 1997): 547–56. http://dx.doi.org/10.1080/07055900.1997.9687365.

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34

Ramadhan, Ali, Gregory Wagner, Chris Hill, Jean-Michel Campin, Valentin Churavy, Tim Besard, Andre Souza, Alan Edelman, Raffaele Ferrari, and John Marshall. "Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs." Journal of Open Source Software 5, no. 53 (September 22, 2020): 2018. http://dx.doi.org/10.21105/joss.02018.

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35

Bokhove, Onno, and Marcel Oliver. "Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2073 (March 30, 2006): 2575–92. http://dx.doi.org/10.1098/rspa.2006.1656.

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Анотація:

Parcel Eulerian–Lagrangian Hamiltonian formulations have recently been used in structure-preserving numerical schemes, asymptotic calculations and in alternative explanations of fluid parcel (in)stabilities. A parcel formulation describes the dynamics of one fluid parcel with a Lagrangian kinetic energy but an Eulerian potential evaluated at the parcel's position. In this paper, we derive the geometric link between the parcel Eulerian–Lagrangian formulation and well-known variational and Hamiltonian formulations for three models of ideal and geophysical fluid flow: generalized two-dimensional vorticity–stream function dynamics, the rotating two-dimensional shallow-water equations and the rotating three-dimensional compressible Euler equations.

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36

Zhongzhen, Ji, and Wang Bin. "Some splitting methods for equations of geophysical fluid dynamics." Advances in Atmospheric Sciences 12, no. 1 (March 1995): 109–13. http://dx.doi.org/10.1007/bf02661293.

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37

Mancho, Ana M., Emilio Hernández-García, Cristóbal López, Antonio Turiel, Stephen Wiggins, and Vicente Pérez-Muñuzuri. "Preface: Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics." Nonlinear Processes in Geophysics 25, no. 1 (February 23, 2018): 125–27. http://dx.doi.org/10.5194/npg-25-125-2018.

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Анотація:

Abstract. The third edition of the international workshop Nonlinear Processes in Oceanic and Atmospheric Flows was held at the Institute of Mathematical Sciences (ICMAT) in Madrid from 6 to 8 July 2016. The event gathered oceanographers, atmospheric scientists, physicists, and applied mathematicians sharing a common interest in the nonlinear dynamics of geophysical fluid flows. The philosophy of this meeting was to bring together researchers from a variety of backgrounds into an environment that favoured a vigorous discussion of concepts across different disciplines. The present Special Issue on Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics contains selected contributions, mainly from attendants of the workshop, providing an updated perspective on modelling aspects of geophysical flows as well as issues on prediction and assimilation of observational data and novel tools for describing transport and mixing processes in these contexts. More details on these aspects are discussed in this preface.

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38

San, Omer. "Recent Numerical Advances in Fluid Mechanics." Fluids 5, no. 2 (May 15, 2020): 73. http://dx.doi.org/10.3390/fluids5020073.

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Анотація:

In recent decades, the field of computational fluid dynamics has made significant advances in enabling advanced computing architectures to understand many phenomena in biological, geophysical, and engineering fluid flows [...]

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39

Moore, Dennis. "Review of Benoit Chushman-Roisin's Introduction to Geophysical Fluid Dynamics." Oceanography 8, no. 3 (1995): 95–96. http://dx.doi.org/10.5670/oceanog.1995.05.

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40

Turner, J. Stewart. "Development of Geophysical Fluid Dynamics: The Influence of Laboratory Experiments." Applied Mechanics Reviews 53, no. 3 (March 1, 2000): R11—R22. http://dx.doi.org/10.1115/1.3097340.

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41

Brannan, James R., Jinqiao Duan, and Vincent J. Ervin. "Escape probability, mean residence time and geophysical fluid particle dynamics." Physica D: Nonlinear Phenomena 133, no. 1-4 (September 1999): 23–33. http://dx.doi.org/10.1016/s0167-2789(99)00096-2.

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42

Bourchtein, Ludmila, and Andrei Bourchtein. "On grid generation for numerical models of geophysical fluid dynamics." Journal of Computational and Applied Mathematics 218, no. 2 (September 2008): 317–28. http://dx.doi.org/10.1016/j.cam.2007.02.005.

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43

Fels, Stephen B. "Geophysical Fluid Dynamics Laboratory/NOAA, Princeton University, Princeton, NJ 08542." Journal of the Atmospheric Sciences 44, no. 24 (December 1987): 3829–32. http://dx.doi.org/10.1175/1520-0469(1987)044<3829:gfdlpu>2.0.co;2.

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44

Panchev, S. "Chaotic and deterministic behaviour of nonlinear geophysical fluid dynamics systems." Acta Applicandae Mathematicae 26, no. 3 (March 1992): 271–91. http://dx.doi.org/10.1007/bf00047208.

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45

Crisciani, F. "Conservation principles of the geophysical fluid dynamics for bounded basins." Il Nuovo Cimento C 9, no. 6 (November 1986): 1079–84. http://dx.doi.org/10.1007/bf02507425.

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46

Yoden, Shigeo. "Classification of simple low-order models in geophysical fluid dynamics and climate dynamics." Nonlinear Analysis: Theory, Methods & Applications 30, no. 7 (December 1997): 4607–18. http://dx.doi.org/10.1016/s0362-546x(97)00306-4.

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47

Hide, Raymond. "A review of: “Topics in geophysical fluid dynamics: Atmospheric dynamics, dynamo theory and climate dynamics”." Geophysical & Astrophysical Fluid Dynamics 46, no. 4 (August 1989): 261–63. http://dx.doi.org/10.1080/03091928908208915.

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48

Chashechkin, Y. D. "Atomic-molecular effects in geophysical hydrodynamics." IOP Conference Series: Earth and Environmental Science 1040, no. 1 (June 1, 2022): 012028. http://dx.doi.org/10.1088/1755-1315/1040/1/012028.

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Анотація:

Abstract To calculate the dynamics and structure of flows, a system of fundamental equations of fluid mechanics with equations of state for the Gibbs potential and density of an inhomogeneous medium is applied. The complete solution of the system describes ligaments, waves, vortices, jets, wakes, and other types of flows. Calculations of flow patterns around obstacles are consistent with the experiment. Observations of the processes of merging a freely falling drop with a target fluid revealed that the finest components are formed during the direct generation of ligaments by atomic-molecular processes. The involvement of a scaled and parametrically invariant system of fundamental equations permits the study of unsteady energetic flows and more accurately describes their dynamics and structure in the whole range of scales from microscopic to global.

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49

Charron, Martin, and Ayrton Zadra. "On the triviality of potential vorticity conservation in geophysical fluid dynamics." Journal of Physics Communications 2, no. 7 (July 3, 2018): 075003. http://dx.doi.org/10.1088/2399-6528/aace4f.

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50

Claussen, Martin, and Michael Hantel. "Hans Ertel and potential vorticity a century of geophysical fluid dynamics." Meteorologische Zeitschrift 13, no. 6 (December 23, 2004): 451. http://dx.doi.org/10.1127/0941-2948/2004/0013-0451.

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