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Littérature scientifique sur le sujet « Ocean circulation Mathematical models »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 21 février 2023

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Articles de revues sur le sujet "Ocean circulation Mathematical models"

Koutitas, Christopher, and Maria Gousidou-Koutita. "A comparative study of three mathematical models for wind-generated circulation in coastal areas." Coastal Engineering 10, no. 2 (July 1986): 127–38. http://dx.doi.org/10.1016/0378-3839(86)90013-x.

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Lucas, Carine, Madalina Petcu, and Antoine Rousseau. "Quasi-hydrostatic primitive equations for ocean global circulation models." Chinese Annals of Mathematics, Series B 31, no. 6 (October 22, 2010): 939–52. http://dx.doi.org/10.1007/s11401-010-0611-6.

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Qiao, Fangli, Yeli Yuan, Jia Deng, Dejun Dai, and Zhenya Song. "Wave–turbulence interaction-induced vertical mixing and its effects in ocean and climate models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2065 (April 13, 2016): 20150201. http://dx.doi.org/10.1098/rsta.2015.0201.

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Heated from above, the oceans are stably stratified. Therefore, the performance of general ocean circulation models and climate studies through coupled atmosphere–ocean models depends critically on vertical mixing of energy and momentum in the water column. Many of the traditional general circulation models are based on total kinetic energy (TKE), in which the roles of waves are averaged out. Although theoretical calculations suggest that waves could greatly enhance coexisting turbulence, no field measurements on turbulence have ever validated this mechanism directly. To address this problem, a specially designed field experiment has been conducted. The experimental results indicate that the wave–turbulence interaction-induced enhancement of the background turbulence is indeed the predominant mechanism for turbulence generation and enhancement. Based on this understanding, we propose a new parametrization for vertical mixing as an additive part to the traditional TKE approach. This new result reconfirmed the past theoretical model that had been tested and validated in numerical model experiments and field observations. It firmly establishes the critical role of wave–turbulence interaction effects in both general ocean circulation models and atmosphere–ocean coupled models, which could greatly improve the understanding of the sea surface temperature and water column properties distributions, and hence model-based climate forecasting capability.

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Belyaev, K. P., A. A. Kuleshov, I. N. Smirnov, and C. A. S. Tanajura. "Comparison of Data Assimilation Methods in Hydrodynamics Ocean Circulation Models." Mathematical Models and Computer Simulations 11, no. 4 (July 2019): 564–74. http://dx.doi.org/10.1134/s2070048219040045.

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Zanna, Laure, and Eli Tziperman. "Optimal Surface Excitation of the Thermohaline Circulation." Journal of Physical Oceanography 38, no. 8 (August 1, 2008): 1820–30. http://dx.doi.org/10.1175/2008jpo3752.1.

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Abstract The amplification of thermohaline circulation (THC) anomalies resulting from heat and freshwater forcing at the ocean surface is investigated in a zonally averaged coupled ocean–atmosphere model. Optimal initial conditions of surface temperature and salinity leading to the largest THC growth are computed, and so are the structures of stochastic surface temperature and salinity forcing that excite maximum THC variance (stochastic optimals). When the THC amplitude is defined as its sum of squares (equivalent to using the standard L2 norm), the nonnormal linearized dynamics lead to an amplification with a time scale on the order of 100 yr. The optimal initial conditions have a vanishing THC anomaly, and the complex amplification mechanism involves the advection of both temperature and salinity anomalies by the mean flow and of the mean temperature and salinity by the anomaly flow. The L2 characterization of THC anomalies leads to physically interesting results, yet to a mathematically singular problem. A novel alternative characterizing the THC amplitude by its maximum value, as often done in general circulation model studies, is therefore introduced. This complementary method is shown to be equivalent to using the L-infinity norm, and the needed mathematical approach is developed and applied to the THC problem. Under this norm, an amplification occurs within 10 yr explained by the classic salinity advective feedback mechanism. The analysis of the stochastic optimals shows that the character of the THC variability may be very sensitive to the spatial pattern of the surface forcing. In particular, a maximum THC variance and long-time-scale variability are excited by a basin-scale surface forcing pattern, while a significantly higher frequency and to some extent a weaker variability are induced by a smooth and large-scale, yet mostly concentrated in polar areas, surface forcing pattern. Overall, the results suggest that a large THC variability can be efficiently excited by atmospheric surface forcing, and the simple model used here makes several predictions that would be interesting to test using more complex models.

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Janecki, Maciej, Dawid Dybowski, Jaromir Jakacki, Artur Nowicki, and Lidia Dzierzbicka-Glowacka. "The Use of Satellite Data to Determine the Changes of Hydrodynamic Parameters in the Gulf of Gdańsk via EcoFish Model." Remote Sensing 13, no. 18 (September 8, 2021): 3572. http://dx.doi.org/10.3390/rs13183572.

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Using mathematical models alone to describe the changes in the parameters characterizing the analyzed reservoir may be insufficient due to the complexity of ocean circulation. One of the ways to improve the accuracy of models is to use data assimilation based on remote sensing methods. In this study, we tested the EcoFish numerical model that was developed for the Gulf of Gdańsk area, under the FindFish Knowledge Transfer Platform. In order to improve the model results and map local phenomena occurring in the studied water, which would be difficult to simulate using only mathematical equations, EcoFish was extended with a satellite data assimilation module that assimilates the sea surface temperature data from a medium-resolution imaging spectroradiometer and an advanced ultrahigh-resolution radiometer. EcoFish was then statistically validated, which resulted in high correlations for water temperature and salinity as well as low errors in comparison with in situ experimental data.

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Saenz, Juan A., Qingshan Chen, and Todd Ringler. "Prognostic Residual Mean Flow in an Ocean General Circulation Model and its Relation to Prognostic Eulerian Mean Flow." Journal of Physical Oceanography 45, no. 9 (September 2015): 2247–60. http://dx.doi.org/10.1175/jpo-d-15-0024.1.

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AbstractRecent work has shown that taking the thickness-weighted average (TWA) of the Boussinesq equations in buoyancy coordinates results in exact equations governing the prognostic residual mean flow where eddy–mean flow interactions appear in the horizontal momentum equations as the divergence of the Eliassen–Palm flux tensor (EPFT). It has been proposed that, given the mathematical tractability of the TWA equations, the physical interpretation of the EPFT, and its relation to potential vorticity fluxes, the TWA is an appropriate framework for modeling ocean circulation with parameterized eddies. The authors test the feasibility of this proposition and investigate the connections between the TWA framework and the conventional framework used in models, where Eulerian mean flow prognostic variables are solved for. Using the TWA framework as a starting point, this study explores the well-known connections between vertical transfer of horizontal momentum by eddy form drag and eddy overturning by the bolus velocity, used by Greatbatch and Lamb and Gent and McWilliams to parameterize eddies. After implementing the TWA framework in an ocean general circulation model, the analysis is verified by comparing the flows in an idealized Southern Ocean configuration simulated using the TWA and conventional frameworks with the same mesoscale eddy parameterization.

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Thompson, Andrew F. "The atmospheric ocean: eddies and jets in the Antarctic Circumpolar Current." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1885 (September 25, 2008): 4529–41. http://dx.doi.org/10.1098/rsta.2008.0196.

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Although the Antarctic Circumpolar Current (ACC) is the longest and the strongest oceanic current on the Earth and is the primary means of inter-basin exchange, it remains one of the most poorly represented components of global climate models. Accurately describing the circulation of the ACC is made difficult owing to the prominent role that mesoscale eddies and jets, oceanic equivalents of atmospheric storms and storm tracks, have in setting the density structure and transport properties of the current. The successes and limitations of different representations of eddy processes in models of the ACC are considered, with particular attention given to how the circulation responds to changes in wind forcing. The dynamics of energetic eddies and topographically steered jets may both temper and enhance the sensitivity of different aspects of the ACC's circulation to changes in climate.

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Belyaev, Konstantin P., and Clemente A. S. Tanajura. "On the correction of perturbations due to data assimilation in ocean circulation models." Applied Mathematical Modelling 29, no. 7 (July 2005): 690–709. http://dx.doi.org/10.1016/j.apm.2004.10.001.

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Hogg, Andrew McC, and David R. Munday. "Does the sensitivity of Southern Ocean circulation depend upon bathymetric details?" Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2019 (July 13, 2014): 20130050. http://dx.doi.org/10.1098/rsta.2013.0050.

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The response of the major ocean currents to changes in wind stress forcing is investigated with a series of idealized, but eddy-permitting, model simulations. Previously, ostensibly similar models have shown considerable variation in the oceanic response to changing wind stress forcing. Here, it is shown that a major reason for these differences in model sensitivity is subtle modification of the idealized bathymetry. The key bathymetric parameter is the extent to which the strong eddy field generated in the circumpolar current can interact with the bottom water formation process. The addition of an embayment, which insulates bottom water formation from meridional eddy fluxes, acts to stabilize the deep ocean density and enhances the sensitivity of the circumpolar current. The degree of interaction between Southern Ocean eddies and Antarctic shelf processes may thereby control the sensitivity of the Southern Ocean to change.

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Thèses sur le sujet "Ocean circulation Mathematical models"

Bermejo-Bermejo, Rodolfo. "A finite element model of ocean circulation." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/26166.

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Preliminary results of a two-layer quasi-geostrophic box model of a wind-driven ocean are presented. The new aspects of this work in relation with conventional eddy models are a finite element formulation of the quasi-geostrophic equations and the use of no-slip boundary condition on the horizontal solid boundaries. In contrast to eddy resolving models that utilize free-slip boundary conditions our results suggest that the obtention of ocean eddies with the no-slip constraints requires a more restricted range of parameters, in particular much lower horizontal eddy viscosity eddy coefficients AH and higher Froude numbers F₁ and F₂. We show explicitly that a given range of parameters, which is eddy generating when the free-slip boundary condition is used, leads to a quasi-laminar flow in both, upper and lower, layers. An analytical model to interpret the numerical results is put forth. It is an extension of an earlier model of Ierley and Young (1983) in that the relative vorticity terms are of primary importance for the dynamics. Thus, it is shown that the boundary layer dynamics is active in the interior of the second layer, and it can be concluded from our method that for given F₁ and F₂ such that the lower layer geostrophic contours are closed, to the existence of the western boundary layer will prevent the homogenization of the potential vorticity so long as AH is large enough to stabilize the northwestern undulations of the flow. Science, Faculty of Earth, Ocean and Atmospheric Sciences, Department of Graduate

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Kiss, Andrew Elek. "Dynamics of laboratory models of the wind-driven ocean circulation." View thesis entry in Australian Digital Theses Program, 2000. http://thesis.anu.edu.au/public/adt-ANU20011018.115707/index.html.

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Villanoy, Cesar Laurel. "Modification of the throughflow water properties in the Indonesian seas." Thesis, The University of Sydney, 1993. https://hdl.handle.net/2123/26591.

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Vertical mixing in the Indonesian Seas has been considered to be responsible for the apparent freshness of the throughﬂow when 'it enters the Indian Down. A three-dimensional primitive equation numerical model of the Indonesian Seas forced with a prescribed throughflow, transport consisting of North Pacific waters, is used to determine local dynamic processes which may modify the characteristics of the throughﬂow properties. The lack of long-term current measurements in the Indonesian Seas presents some difﬁculties in determining the certainty of the derived velocity ﬁelds. As an alternative, the model temperature and salinity fields are compared to observed hydrographic data which has a relatively better coverage throughout the Indonesian Seas. A 15 Sv net transport through the Indonesian Seas is suggested based on the model’s more realistic reproduction of the hydrographic structure compared to a throughﬂow with a smaller magnitude. A pure North Pacific source for the throughﬂow is also not capable of producing the salinity structure in the Banda Sea as suggested by previous studies and the required amount of salt to ﬁt the model salinity structure with observations in the Banda Sea is estimated to be 3.3x10‘3 kg. Most of the throughﬂow transport occurs in western boundary ﬂows and is largely topographically controlled. The separation of an upper and lower layer circulation pattern is controlled by the depth of the sill in Makassar Strait. Vertical excursions in the vicinity of this sill seen level of the in model results coincide upper salinity maximum with regions where are found. Seasonal large horizontal gradients at the upwelling and longer residence times due to weaker flows in the Banda Sea results in a more effective mixing of the already weakened salinity structure of the waters from Makassar Strait/Flores Sea. Net heat and freshwater flux estimates also reveal signiﬁcant departures at 200 up to 100 m between the Pacific inflow and Indian outflow, suggesting the considerable redistribution of heat and salt in the Indonesian Seas.

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Jung, Kyung Tae. "On three-dimensional hydrodynamic numerical modelling of wind induced flows in stably stratified waters : a Galerkin-finite difference approach." Title page, contents and summary only, 1989. http://web4.library.adelaide.edu.au/theses/09PH/09phj95.pdf.

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Weaver, Anthony T. "On assimilating sea surface temperature data into an ocean general circulation model." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29204.

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The feasibility of sea surface temperature (SST) data improving the performance of an ocean general circulation model (OGCM) is investigated through a series of idealized numerical experiments. The GFDL Bryan-Cox-Semtner primitive equation model is set-up as an eddy resolving, unforced, flat bottomed channel of uniform depth. 'Observed' SST data taken from a reference ocean established in a control run are continuously assimilated into an 'imperfect' model using a simple 'nudging' scheme based on a surface relaxation condition of the form Q = C(SST — T₁) where Q is the heat flux and T₁ is the temperature at the top level of the model. The rate of assimilation is controlled by adjusting the constant inverse relaxation time parameter C. Numerical experiments indicate that the greatest improvement in the model fields is achieved in the extreme case of infinite assimilation (i.e., C = ᅇ) in which the 'observed' SST is directly inserted into the model. This improvement is quantified by monitoring the reduction in the root mean square (RMS) errors relative to the simulated reference ocean. Assimilation with longer relaxation time-scales (i.e., smaller C's) proves quite ineffective in reducing the RMS errors. The improvement in the direct insertion numerical experiment stems from the model's ability to transfer assimilated SST into subsurface information through strong advective processes. The assimilation of cool surface data induces convective overturning which transfers the 'cool' information downward rapidly but adversely affects the vertical thermal structure by an unrealistic deepening of the mixed layer. By contrast, warm surface data do not penetrate downward readily. Thus, the systematically biased downward flux of coolness gradually produces unrealistically cool subsurface waters. Science, Faculty of Earth, Ocean and Atmospheric Sciences, Department of Graduate

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BRIKOWSKI, TOM HARRY. "A QUANTITATIVE ANALYSIS OF HYDROTHERMAL CIRCULATION AROUND MID-OCEAN RIDGE MAGMA CHAMBERS." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/184128.

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Hydrothermal activity is one of the dominant processes affecting the chemical and thermal evolution of oceanic crust at the mid-ocean ridge (MOR), but little is known about the sub-surface portions of ridge hydrothermal systems. These systems can be investigated using numerical modeling techniques, and models of two-dimensional cross-sections are utilized in this study to investigate the behavior of MOR hydrothermal systems. The influence of magma chamber geometry is explored by modeling two extremes of proposed geometry. Seismological evidence supports a dike-like 2 km half-width chamber, and models of this chamber indicate that: (1) complete crystallization of the magma requires 30,000 years, (2) hydrothermal upflow and hot springs are concentrated in a narrow band within 1.5 km of the ridge axis for the lifetime of the system, (3) a large hydrothermal cell forms and remains centered above the distal tip of the intrusion for the lifetime of the system, (4) effective hydrothermal activity ends by 70,000 yrs. Petrological evidence supports a wide sill-like chamber 15 km in half-width, and models of this chamber indicate that: (1) complete crystallization of the magma requires 100,000 yrs, (2) hydrothermal vents are present at the ridge axis, but most of the vents are located 5-10 km away from the axis, (3) a large hydrothermal cell develops at the distal tip of the magma chamber, while a series of small but vigorous cells develops directly above the intrusion, both features migrate toward the ridge axis as the magma solidifies, (4) effective hydrothermal activity ends by 170,000 yrs. Substantially different hydrothermal systems develop around these two chamber geometries and comparison of the models shows this is because different patterns of near-critical P-T conditions developed around them. The fundamental influence on the nature and pattern of hydrothermal circulation at MOR is the distribution of near-critical conditions.

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Cirano, Mauro School of Mathematics UNSW. "Wintertime Circulation within the Southeast Indian Ocean: a Numerical Study." Awarded by:University of New South Wales. School of Mathematics, 2000. http://handle.unsw.edu.au/1959.4/17820.

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A numerical study is made of the wintertime circulation within the Southeast Indian Ocean (SEIO). The downwelling favourable winds result in a continuous eastward Coastal Current (CC) extending from Cape Leeuwin to the eastern coast of Tasmania, where it forms a confluence with the south branch of the East Australian Current. An additional forcing mechanism for the CC is the Leeuwin Current in the western part of the domain. The study here is divided in two parts: (1) available data and the wintertime averaged results from the Ocean Circulation and Climate Advanced Model (OCCAM) are analysed to provide a first order description of the large-scale circulation; (2) a high resolution model (Princeton Ocean Model) is nested within OCCAM to examine the shelf-slope circulation within the eastern SEIO. The nested model is forced with climatological monthly average winds and several experiments were run to simulate the effects of surface fluxes of density, enhanced bottom friction and stronger winds. In summary, the shelf-slope circulation is governed by a surface south-eastward CC that carries around 2 Sv and reaches velocities of up to 50 cm/s, where the shelf is narrowest. The core of the current is generally constrained to the shelf-break region. Zonal winds and geostrophic control of the CC lead to a transport of 1 Sv through Bass Strait and a north-eastward jet that is directed into the strait between King Is. and Tasmania. Further south, the CC is poleward and known as the Zeehan Current (ZC). Between Cape Leeuwin and Tasmania and over the slope region, a westward current (the Flinders Current) is found at depths of 500-1000 m and has an associated transport of 5-7 Sv. The current is shown to result from a northward Sverdrup transport in the deep ocean. Meso-scale eddies are shown to result from baroclinic instability and have wavelengths of around 250 km and transports of 3-4 Sv, and can dominate the slope circulation. A comparison of the numerical results is also made with two current meter data sets and results show an interannual variability in the ZC strength, that is probably related to ENSO.

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Duhaut, Thomas H. A. "Wind-driven circulation : impact of a surface velocity dependent wind stress." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101117.

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The use of an ocean surface velocity dependent wind stress is examined in the context of a 3-layer double-gyre quasigeostrophic wind-driven ocean circulation model. The new wind stress formulation results in a large reduction of the power input by the wind into the oceanic circulation. This wind stress is proportional to a quadratic function of Ua--u o, where Ua is the wind at 10m above the ocean surface and uo is the ocean surface current. Because the winds are typically faster than the ocean currents, the impact of the ocean surface velocity on the wind stress itself is relatively small. However, the power input is found to be greatly reduced with the new formulation. This is shown by simple scaling argument and numerical simulations in a square basin. Our results suggest that the wind power input may be as much as 35% smaller than is typically assumed. The ocean current signature is clearly visible in the scatterometer-derived wind stress fields. We argue that because the actual ocean velocity differs from the modeled ocean velocities, care must be taken in directly applying scatterometer-derived wind stress products to the ocean circulation models. This is not to say that the scatterometer-derived wind stress is not useful. Clearly the great spatial and temporal coverage make these data sets invaluable. Our point is that it is better to separate the atmospheric and oceanic contribution to the stresses. Finally, the new wind stress decreases the sensitivity of the solution to the (poorly known) bottom friction coefficient. The dependence of the circulation strength on different values of bottom friction is examined under the standard and the new wind stress forcing for two topographic configurations. A flat bottom and a meridional ridge case are studied. In the flat bottom case, the new wind stress leads to a significant reduction of the sensitivity to the bottom friction parameter, implying that inertial runaway occurs for smaller values of bottom friction coefficient. The ridge case also gives similar results. In the case of the ridge and the new wind stress formulation, no real inertial runaway regime has been found over the range of parameters explored.

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Dail, Holly Janine. "Atlantic Ocean circulation at the last glacial maximum : inferences from data and models." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/78367.

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Thesis (Ph. D.)--Joint Program in Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences; and the Woods Hole Oceanographic Institution), 2012. This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. Cataloged from student-submitted PDF version of thesis. Includes bibliographical references (p. 221-236). This thesis focuses on ocean circulation and atmospheric forcing in the Atlantic Ocean at the Last Glacial Maximum (LGM, 18-21 thousand years before present). Relative to the pre-industrial climate, LGM atmospheric CO₂ concentrations were about 90 ppm lower, ice sheets were much more extensive, and many regions experienced significantly colder temperatures. In this thesis a novel approach to dynamical reconstruction is applied to make estimates of LGM Atlantic Ocean state that are consistent with these proxy records and with known ocean dynamics. Ocean dynamics are described with the MIT General Circulation Model in an Atlantic configuration extending from 35°S to 75°N at 1° resolution. Six LGM proxy types are used to constrain the model: four compilations of near sea surface temperatures from the MARGO project, as well as benthic isotope records of [delta]¹⁸O and [delta]¹³C compiled by Marchal and Curry; 629 individual proxy records are used. To improve the fit of the model to the data, a least-squares fit is computed using an algorithm based on the model adjoint (the Lagrange multiplier methodology). The adjoint is used to compute improvements to uncertain initial and boundary conditions (the control variables). As compared to previous model-data syntheses of LGM ocean state, this thesis uses a significantly more realistic model of oceanic physics, and is the first to incorporate such a large number and diversity of proxy records. A major finding is that it is possible to find an ocean state that is consistent with all six LGM proxy compilations and with known ocean dynamics, given reasonable uncertainty estimates. Only relatively modest shifts from modern atmospheric forcing are required to fit the LGM data. The estimates presented herein succesfully reproduce regional shifts in conditions at the LGM that have been inferred from proxy records, but which have not been captured in the best available LGM coupled model simulations. In addition, LGM benthic [delta]¹⁸O and [delta]¹³C records are shown to be consistent with a shallow but robust Atlantic meridional overturning cell, although other circulations cannot be excluded. by Holly Janine Dail. Ph.D.

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Mazloff, Matthew R. "Production and analysis of a Southern Ocean state estimate." Thesis, Online version, 2006. http://hdl.handle.net/1912/1282.

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Thesis (M.S.)--Joint Program in Oceanography/ Applied Ocean Science and Engineering, Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution, 2006. "September 2006." Bibliography: p. 97-106.

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Livres sur le sujet "Ocean circulation Mathematical models"

A, Beckmann, ed. Numerical ocean circulation modeling. London: Imperial College Press, 1999.

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Marchuk, G. I. Mathematical modelling of the ocean circulation. Berlin: Springer-Verlag, 1988.

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Modeli okeanskikh prot︠s︡essov. Moskva: "Nauka", 1989.

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Chechelnitsky, Michael Y. Adaptive error estimation in linearized ocean general circulation models. Cambridge, Mass: Massachusetts Institute of Technology, 1999.

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Oberhuber, Josef M. Simulation of the Atlantic circulation with a coupled sea ice-mixed layer-isopycnal general circulation model. Hamburg, Germany: Max-Planck-Institut fuer Meteorologie, 1990.

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Stanev, Emil V. Numerical study on the Black Sea circulation. Hamburg: Eigenverlag des Instituts für Meereskunde der Universität Hamburg, 1988.

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Wunsch, Carl. The ocean circulation inverse problem. Cambridge: Cambridge University Press, 1996.

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Fundamentals of ocean climate models. Princeton, N.J: Princeton University Press, 2004.

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Tsujino, Hiroyuki. Modelling study on thermohaline circulation in the Pacific Ocean. [Tokyo]: Center for Climate System Research, University of Tokyo, 1999.

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Wang, Xiao Hua. Open boundary conditions in a three dimentional coastal ocean model. Canberra, ACT, Australia: School of Geography and Oceanography, University College, The University of New South Wales, Australian Defence Force Academy, 1996.

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Chapitres de livres sur le sujet "Ocean circulation Mathematical models"

Marchuk, G. I., and A. S. Sarkisyan. "Formulation of the Problem, Transformation of Equations and Elaboration of Ocean Circulation Models." In Mathematical Modelling of Ocean Circulation, 1–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61376-0_1.

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Saint-Raymond, Laure. "The Role of Boundary Layers in the Large-scale Ocean Circulation." In Mathematical Models and Methods for Planet Earth, 11–24. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02657-2_2.

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Olbers, Dirk, Carsten Eden, Erich Becker, Friederike Pollmann, and Johann Jungclaus. "The IDEMIX Model: Parameterization of Internal Gravity Waves for Circulation Models of Ocean and Atmosphere." In Mathematics of Planet Earth, 87–125. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05704-6_3.

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Hodnett, P. F., and Raymond McNamara. "Baroclinic Structure of a Modified Stommel-Arons Model of the Abyssal Ocean Circulation." In IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 161–66. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0792-4_19.

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Olbers, Dirk, Jürgen Willebrand, and Carsten Eden. "Models of the Ocean Circulation." In Ocean Dynamics, 663–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23450-7_18.

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Pedlosky, Joseph. "Homogeneous Models of the Ocean Circulation." In Ocean Circulation Theory, 25–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03204-6_2.

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Pedlosky, Joseph. "Vertical Structure: Baroclinic Quasi-Geostrophic Models." In Ocean Circulation Theory, 93–170. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03204-6_3.

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McWilliams, James C. "Oceanic General Circulation Models." In Ocean Modeling and Parameterization, 1–44. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5096-5_1.

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Gangopadhyay, Avijit. "Multiscale Ocean Models." In Introduction to Ocean Circulation and Modeling, 223–50. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9780429347221-10.

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Olbers, Dirk J. "Diagnostic Models of Ocean Circulation." In Large-Scale Transport Processes in Oceans and Atmosphere, 201–23. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4768-9_5.

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Actes de conférences sur le sujet "Ocean circulation Mathematical models"

Farina, R., S. Cuomo, and P. De Michele. "An inverse preconditioner for a free surface ocean circulation model." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765513.

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Barzegar, Sadegh, Alireza Elhami Amiri, Pooyan Rahbar, and Mehdi Assadi Niazi. "Sea Water Pump Station Basin Mathematical Hydraulic Model Test (CFD Analysis)." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79245.

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Background and aim: A sea water intake, with original design of the six drum screen and twenty sea water pump intake with very different flow rate connected to header bay. The capacity of Origin Sea water intake including huge pump station and drum screen is 200,000 m3/hr. The purpose of the mathematical hydraulic model test of the sea water pumping station is to verify that the basin allows a good operating condition for each pump. To ensure a good operating condition for each pump, the design of the seawater basin has to insure: • A correct filter working; • Low transversal velocities; • A flow without vortex. Method and material: The mathematical model of the basin allows to know the flow and to verify: • The main dimensions of the pumping station; • The distance between the inlet ducts and the filters; • The distance between the filters and pump chambers. Result: in the first basin, the flow patterns no problems. Only swirl at the exit of culverts and near the free surface, and two areas where the flow has no velocity were observed. In the downstream other filters, we observe also a circulation that generates a tangential velocity. Conclusion: The mathematical model of the sea water pumping station has allowed calculating three cases (without and with filter stopped) for the low water level and nominal flow rate. In most difficult case, we observe some recirculation, mainly near the free surface, without more influence on principal flow. In the three cases, the distribution of the flow rate between the drum screens is uniform; the gap is inferior to 2%. At the entry of the pump chambers, the velocity fluctuations and the angle are low. Consequently, the secondary flows in pump chambers will be limited.

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Saasen, Arild, Jan David Ytrehus, and Bjørnar Lund. "Annular Frictional Pressure Losses for Drilling Fluids." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18709.

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Abstract The most common viscosity models used in the drilling industry are the Bingham, the Power-Law and the Herschel-Bulkley models. In addition, it is common to refer to the low-shear yield-point. The scope of the present paper is to discuss numerical methods applicable for calculating annular frictional pressure losses. The topic of annular frictional pressure loss modelling has been treated in textbooks. None of these couple their models with the selection of viscosity data from measurements at the relevant shear rates. It is earlier shown how rotation of the inner string in an annulus can complicate the flow due to establishment of Taylor vortices. There are currently no analytical methods to handle such flow. The effect of the vortices depends strongly on the fluid’s composition in addition to the flow conditions. The practical way to handle these situations are by “fingerprinting” during circulation. In the paper examples will be presented showing how the Herschel-Bulkley fluid can be transferred to simple models for axial flow in an annulus where the inner cylinder does not rotate. It is common to use the narrow slot approximation. This method was used by Founargiotakis et al. In this paper both the modified Herschel-Bulkley model with dimensionless shear rates and the traditional model where the consistency depends on the shear rate will be presented. The dimensionless shear rate model can easily be translated back to the traditional form and vice-versa. Mathematical models will be presented. Hence a framework is given that is easier to use for digitalization and automation and in correlations including pressure, temperature and composition.

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Vankevich, Roman, Roman Vankevich, Ekaterina Sofina, Ekaterina Sofina, Tatjana Eremina, Tatjana Eremina, Mikhail Molchanov, et al. "DEVELOPMENT OF A NEMO BASED OPERATIONAL SYSTEM FOR THE GULF OF FINLAND AND THE KALININGRAD SHELF." In Managing risks to coastal regions and communities in a changing world. Academus Publishing, 2017. http://dx.doi.org/10.31519/conferencearticle_5b1b93cbe18747.49034561.

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This study is aimed at developing of an operational oceanographic system for the Russian sector in the Gulf of Finland and South-Eastern part of the Baltic Sea for operational forecast of hydrodynamic and ecosystem parameters on the basis of high and ultra-high spatial resolution models. The system is presented as a complex of regional and local models; for which a coupled modeling integration at boundary conditions exchange is fulfilled. The models share common mathematical formulation of general motion equations and a unified realization on the basis of programme code modeling modules designed for the ocean modeling – NEMO. The regional model of the Baltic Sea circulation is complemented by a module for the inert matter transport simulation. The latter is set up on the basis of a matter turbulent diffusion model with the use of two consistent equation systems: deterministic and stochastic. The designed operational system consists of two subsystems: operational oceanographic system of the coastal areas of the Baltic Sea and an expert-analytical system of operational monitoring of the aquatic environment and effective response to accidents at sea.

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Vankevich, Roman, Roman Vankevich, Mikhail Molchanov, Mikhail Molchanov, Ekaterina Sofina, Ekaterina Sofina, Vladimir Ryabchenko, et al. "DEVELOPMENT OF A NEMO BASED OPERATIONAL SYSTEM FOR THE GULF OF FINLAND AND THE KALININGRAD SHELF." In Managing risks to coastal regions and communities in a changing world. Academus Publishing, 2017. http://dx.doi.org/10.31519/conferencearticle_5b1b93f0b46083.45377437.

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Monier, L., F. Brossier, F. Razafimahery, and Michail D. Todorov. "Validation of a Three-Dimensional Model of the Ocean Circulation." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: Proceedings of the 34th Conference on Applications of Mathematics in Engineering and Economics (AMEE '08). AIP, 2008. http://dx.doi.org/10.1063/1.3030795.

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Farina, R., S. Cuomo, P. De Michele, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "A CUBLAS-CUDA Implementation of PCG Method of an Ocean Circulation Model." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636988.

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Griffies, S. M., S. M. Griffies, S. M. Griffies, S. M. Griffies, S. M. Griffies, S. M. Griffies, S. M. Griffies, et al. "Problems and Prospects in Large-Scale Ocean Circulation Models." In OceanObs'09: Sustained Ocean Observations and Information for Society. European Space Agency, 2010. http://dx.doi.org/10.5270/oceanobs09.cwp.38.

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TANAKA, Y., M. TSUGAWA, Y. MIMURA, and T. SUZUKI. "DEVELOPMENT OF PARALLEL OCEAN GENERAL CIRCULATION MODELS ON THE EARTH SIMULATOR." In Proceedings of the Tenth ECMWF Workshop on the Use of High Performance Computers in Meteorology. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704832_0005.

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Rapports d'organisations sur le sujet "Ocean circulation Mathematical models"

Whitehead, John A. Laboratory Models of Ocean Circulation. Fort Belvoir, VA: Defense Technical Information Center, June 1997. http://dx.doi.org/10.21236/ada326697.

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Iskandarani, Mohamed, Omar Knio, Ashwanth Srinivasan, and William C. Thacker. Quantifying Prediction Fidelity in Ocean Circulation Models. Fort Belvoir, VA: Defense Technical Information Center, September 2012. http://dx.doi.org/10.21236/ada590693.

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Poling, D. A. Benchmarking ocean circulation models on massively parallel computers. Office of Scientific and Technical Information (OSTI), August 1997. http://dx.doi.org/10.2172/515635.

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Hallberg, Robert, Rainer Bleck, Eric Chassignet, Roland deSzoeke, Stephen Griffies, Paul Schoft, Scott Springer, and Alan Walicraft. A Vision for Ocean Circulation Models: Generalized Vertical Coordinates. Fort Belvoir, VA: Defense Technical Information Center, March 2004. http://dx.doi.org/10.21236/ada593098.

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Smith, Raymond C. Modeling Coastal Ocean Optical Properties for Coupled Circulation and Ecosystem Models. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada629643.

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Mobley, Curtis D. Modeling Coastal Ocean Optical Properties for Coupled Circulation and Ecosystem Models. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada630449.

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