Relevant bibliographies by topics / Atmospheric Mathematical models

Academic literature on the topic 'Atmospheric Mathematical models'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Atmospheric Mathematical models"

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Chatwin, P. C., D. M. Lewis, and N. Mole. "Atmospheric diffusion: some new mathematical models." Advances in Computational Mathematics 6, no. 1 (December 1996): 227–42. http://dx.doi.org/10.1007/bf02127705.

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Markiewicz, Maria. "A Review of Mathematical Models for the Atmospheric Dispersion of Heavy Gases. Part I. A Classification of Models." Ecological Chemistry and Engineering S 19, no. 3 (January 1, 2012): 297–314. http://dx.doi.org/10.2478/v10216-011-0022-y.

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A Review of Mathematical Models for the Atmospheric Dispersion of Heavy Gases. Part I. A Classification of ModelsIn this two part article in its first part models of heavy gas dispersion in the atmosphere are classified and the distinguished groups of models are characterised. In the second part the procedures for the model quality evaluation are described and the main results of model evaluation projects are summarised. Substances released to the atmosphere which have a density greater than the density of the atmospheric air are called heavy gases or dense gases. The dispersion of heavy gases is different from that encountered in the case of neutrally or positively buoyant gases. Specific models have been developed to describe it. The heavy gas dispersion models differ in the complexity and mathematical description. Based on these criteria four main groups of models are distinguished: simple/empirical models, intermediate/integral and shallow layer models, advanced/Lagrangian particle trajectory and Lagrangian puff dispersion models and sophisticated/Computer Fluid Dynamics (CFD) models. This classification is an extension of the classification proposed earlier in the literature.
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Bărbulescu, Alina, and Elena Băutu. "Mathematical models of climate evolution in Dobrudja." Theoretical and Applied Climatology 100, no. 1-2 (July 12, 2009): 29–44. http://dx.doi.org/10.1007/s00704-009-0160-7.

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Korsun, O. N., I. V. Gerilovich, and H. O. Moung. "Consideration of Atmospheric Properties when Comparing Mathematical Models of Aerodynamic Сoefficients with Flight Test Data." Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, no. 4 (137) (December 2021): 152–68. http://dx.doi.org/10.18698/0236-3933-2021-4-152-168.

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Methodological approaches to the calculation of atmospheric parameters, primarily air density and velocity head, in the task of comparing flight data with the results of mathematical modeling of the aircraft motion are proposed. Models with different degrees of using onboard measurements and standard atmosphere models are considered. The models are compared according to the data of flight experiments performed on a modern aircraft for such flight modes as horizontal platform, turn, climb, descentin, and acceleration. The comparison results are given the form of absolute and relative discrepancies in temperature, static pressure and air density. It is shown that the difference between the properties of the real atmosphere and the standard atmosphere is the main source of mismatches, compared to which the influence of the type of flight modes, altitude, speed is insignificant. In addition, a comparison of the standard atmosphere model with the data of atmospheric meteorological sounding is made, which gave similar results. It is concluded that the calculation of air density and velocity head through the standard atmosphere, widespread in practice, in the general case creates a significant error, which may lead to erroneous conclusions in assessing the correspondence of the aircraft mathematical model and the real object
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Garger, E. K., F. O. Hoffman, K. M. Thiessen, D. Galeriu, A. I. Kryshev, T. Lev, C. W. Miller, S. K. Nair, N. Talerko, and B. Watkins. "Test of existing mathematical models for atmospheric resuspension of radionuclides." Journal of Environmental Radioactivity 42, no. 2-3 (January 1999): 157–75. http://dx.doi.org/10.1016/s0265-931x(98)00052-6.

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Eshagh, Mehdi. "Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere." Artificial Satellites 43, no. 1 (January 1, 2008): 25–43. http://dx.doi.org/10.2478/v10018-009-0005-8.

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Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of AtmosphereSpherical harmonic formulation of gravitational potential of the atmosphere depends on the analytical model of the atmospheric density which is used. Exponential and power models are two well-known mathematical tools which are used in atmospheric applications. This paper presents simple formulas for the harmonic coefficients of internal and external types of the atmospheric potential based on these models which can be used in most of the gravimetric aspects. It considers the atmospheric effect on the satellite gravity gradiometry data as an example for numerical investigations. The numerical studies on these data show that the maximum atmospheric effect is about 2 mE over Fennoscandia based on both models, and their differences are less than 0.1 mE. The difference between indirect atmospheric effects reaches 2 cm and 0.02 mGal on the geoid and gravity anomaly, respectively in this region.
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Tikhonov, V. A., V. M. Kartashov, O. V. Kartashov, and V. А. Pososhenko. "Mathematical models of non-stationary random processes in the SVVP representation." Radiotekhnika, no. 210 (September 28, 2022): 167–76. http://dx.doi.org/10.30837/rt.2022.3.210.14.

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The work examines methods and mathematical models that provide the possibility of researching the statistical characteristics of complex and non-stationary random processes describing a wide class of physical phenomena. The proposed models can be used to study the processes observed in various fields of human activity, namely, to analyze the trajectories of unmanned aerial vehicles, their acoustic signals, meteorological processes reflecting the state of the atmosphere. Real and simulated non-stationary random processes considered in the work are represented by the complex vector random process (CVRP) model. In this case, the length of the subvector is equal to the period of the seasonal component. In fact, in such a representation, the time series readings are replaced by their aggregate, i.e. subvectors. Statistical relationships are analyzed for subvectors, and not, as usual, for process counts. If the length of the subvector is equal to one, all operations in the SVVP representation are equivalent to the usual operations for time series. The mathematical apparatus developed in the article was used to analyze changes in time series of atmospheric temperature observed over a long period of time; average annual temperatures were estimated with subsequent smoothing with a low-pass filter. The results obtained can be used to analyze medium-term and long-term changes in atmospheric conditions, refine the results obtained by traditional methods of mathematical statistics, analyze and predict data flows in mobile communication networks, as well as in other areas of human activity.
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Egger, Joseph, and Joachim Pelkowski. "The first mathematical models of dynamic meteorology: The Berlin prize contest of 1746." Meteorologische Zeitschrift 17, no. 1 (February 26, 2008): 83–91. http://dx.doi.org/10.1127/0941-2948/2008/0261.

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Marshak, A., Y. Knyazikhin, J. C. Chiu, and W. J. Wiscombe. "Spectrally Invariant Approximation within Atmospheric Radiative Transfer." Journal of the Atmospheric Sciences 68, no. 12 (December 1, 2011): 3094–111. http://dx.doi.org/10.1175/jas-d-11-060.1.

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Abstract Certain algebraic combinations of single scattering albedo and solar radiation reflected from, or transmitted through, vegetation canopies do not vary with wavelength. These “spectrally invariant relationships” are the consequence of wavelength independence of the extinction coefficient and scattering phase function in vegetation. In general, this wavelength independence does not hold in the atmosphere, but in cloud-dominated atmospheres the total extinction and total scattering phase function vary only weakly with wavelength. This paper identifies the atmospheric conditions under which the spectrally invariant approximation can accurately describe the extinction and scattering properties of cloudy atmospheres. The validity of the assumptions and the accuracy of the approximation are tested with 1D radiative transfer calculations using publicly available radiative transfer models: Discrete Ordinate Radiative Transfer (DISORT) and Santa Barbara DISORT Atmospheric Radiative Transfer (SBDART). It is shown for cloudy atmospheres with cloud optical depth above 3, and for spectral intervals that exclude strong water vapor absorption, that the spectrally invariant relationships found in vegetation canopy radiative transfer are valid to better than 5%. The physics behind this phenomenon, its mathematical basis, and possible applications to remote sensing and climate are discussed.
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Lucarini, Valerio, and Andrey Gritsun. "A new mathematical framework for atmospheric blocking events." Climate Dynamics 54, no. 1-2 (November 1, 2019): 575–98. http://dx.doi.org/10.1007/s00382-019-05018-2.

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Abstract We use a simple yet Earth-like hemispheric atmospheric model to propose a new framework for the mathematical properties of blocking events. Using finite-time Lyapunov exponents, we show that the occurrence of blockings is associated with conditions featuring anomalously high instability. Longer-lived blockings are very rare and have typically higher instability. In the case of Atlantic blockings, predictability is especially reduced at the onset and decay of the blocking event, while a relative increase of predictability is found in the mature phase. The opposite holds for Pacific blockings, for which predictability is lowest in the mature phase. Blockings are realised when the trajectory of the system is in the neighbourhood of a specific class of unstable periodic orbits (UPOs), natural modes of variability that cover the attractor the system. UPOs corresponding to blockings have, indeed, a higher degree of instability compared to UPOs associated with zonal flow. Our results provide a rigorous justification for the classical Markov chains-based analysis of transitions between weather regimes. The analysis of UPOs elucidates that the model features a very severe violation of hyperbolicity, due to the presence of a substantial variability in the number of unstable dimensions, which explains why atmospheric states can differ a lot in term of their predictability. Additionally, such a variability explains the need for performing data assimilation in a state space that includes not only the unstable and neutral subspaces, but also some stable modes. The lack of robustness associated with the violation of hyperbolicity might be a basic cause contributing to the difficulty in representing blockings in numerical models and in predicting how their statistics will change as a result of climate change. This corresponds to fundamental issues limiting our ability to construct very accurate numerical models of the atmosphere, in term of predictability of the both the first and of the second kind in the sense of Lorenz.
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Dissertations / Theses on the topic "Atmospheric Mathematical models"

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Melton, Roy Wayne. "Parallelizing the spectral method in climate and weather modeling." Diss., Available online, Georgia Institute of Technology, 2004:, 2003. http://etd.gatech.edu/theses/available/etd-04062004-164733/unrestricted/melton%5Froy%5Fw%5F200312%5Fphd.pdf.

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Zink, Florian. "Gravity waves and turbulence in the lower atmosphere /." Title page, contents and abstract only, 2000. http://web4.library.adelaide.edu.au/theses/09PH/09phz778.pdf.

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Dionne, Pierre 1962. "Numerical simulation of blocking by the resonance of topographically forced waves." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=65542.

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Kaharabata, Samuel K. "Non-disturbing methods of estimating trace gas emissions from agricultural and forest sources." Thesis, McGill University, 1999. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35903.

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Two approaches, one using an atmospheric diffusion model and the other an atmospheric tracer, were used to predict the source strength of trace gases from observations of the downwind concentration field. Both approaches do not disturb the prevailing environmental and physical conditions nor the existing biogenic processes. An analytical solution to the advection-diffusion equation was used to back-calculate the source strength from the downwind concentration measurements of (i) single and multipoint (4 and 16 points) trace gas (sulphur hexafluoride (SF6) and methane (CH4)) release experiments conducted over microplots over an open field, and (ii) single point source SF6 release experiments conducted over a forested terrain. Best predictions of the source strength (to within +/-20%) were obtained from concentration observations made along the centreline of the diffusing plumes with the predictions improving when observations at the mean plume height were used. The diffusion model was then used to compute footprint estimates for neutral and unstable conditions, for tower and aircraft based observation platforms above the forest. They showed spatially constrained footprints in the surface layer, due to effective vertical coupling, so that observations from towers and low flying aircraft must be expected to be very site specific, and scaling up to larger areas will have to be done with careful consideration of surface mosaics. Above-canopy sampling of trace gases to determine volatile organic compound emissions were then interpreted in terms of footprint considerations. This was accomplished by defining the upwind canopy areas effectively sampled under the given wind and stability conditions. The analysis demonstrated, for example, that the variability observed in measured isoprene fluxes could be accounted for by varying numbers of randomly distributed clumps of emitter species within a varying footprint. It suggested that heterogeneity of the forest canopy, in ter
Sulphur hexafluoride was also used as an atmospheric tracer in order to estimate CH4 emissions from manure slurry and cattle housed in barns and feedlots. (Abstract shortened by UMI.)
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Mahanama, Sarith Prasad Panditha. "Distributed approach of coupling basin scale hydrology with atmospheric processes." Thesis, Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22088817.

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Marks, Marguerite Colasurdo. "Incorporating Chemical Activity and Relative Humidity Effects in Regional Air Quality Modeling of Organic Aerosol Formation." PDXScholar, 2013. https://pdxscholar.library.pdx.edu/open_access_etds/1511.

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Atmospheric particulate matter is known to have significant effects on human health, visibility, and global climate. The magnitudes of these effects, however, depend in complex ways on chemical composition, relative humidity, temperature, phase state, and other parameters. Current regional air quality models such as CMAQ (Community Multiscale Air Quality model) ignore many of these considerations, and consider that the formation of secondary organic aerosol (SOA) can be calculated by assuming thermodynamic ideality in the organic particulate matter (OPM) phase as well as negligible uptake of water into the OPM phase. Theoretical predictions and model simulations considering non-ideality and water uptake show that the standard model assumptions can lead to large errors in predicted SOA mass, and that the magnitude of these errors is sensitive to the composition of the OPM phase. The SOA module in CMAQ v4.7.1 has been revised in this work to allow consideration of the effects of both non-ideality and water uptake. First, a reasonable specific surrogate structure was assigned to each of the lumped products assumed to be produced by reaction of the different precursor hydrocarbons considered in CMAQ (e.g., isoprene, benzene, and toluene). Second, the CMAQ code was modified to allow iterative calculation (at each point in space and time) of the gas/particle partitioning coefficient for each of the SOA-forming products and for water. Third, model simulations were performed for the Eastern US at a resolution of 36-km x 36-km for late summer 2006, under a range of relative humidity conditions. When compared with an appropriate base case, the modified code produced increases in SOA ranging from 0.17 to 0.51 micrograms per cubic meter. The average change was 0.30 micrograms per cubic meter, corresponding to a 37% increase in SOA formation. Incorporation of phase separation effects would likely lead to further increases in predicted SOA levels.
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Drysdale, Euain Fraser. "Modelling of equatorial wave motions in the middle atmosphere." Thesis, University of Oxford, 1998. http://ora.ox.ac.uk/objects/uuid:9ae75869-a15b-465e-af64-c608cca8b34c.

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A three-dimensional mechanistic model of the middle atmosphere is used to model various classes of equatorial wave motions that are observed in the atmosphere. These waves are thought to be largely responsible for the forcing of the quasi-biennial oscillation (QBO) in the tropical lower stratosphere. By generating a combination of different classes of equatorial waves in the model, an oscillation which has many similarities to the observed QBO is produced in the model. The numerical model used is run in a variety of configurations, including running it at different vertical resolutions and with two different radiation parameterisation schemes. It is found that model used in the project must be modified to allow the accurate modelling of equatorial waves. Several modelling problems are encountered while applying the modifications necessary in the model; the steps necessary to rectify these problems are detailed in this thesis. Equatorial waves are then forced in this modified model under a range of conditions and their interaction with the mean flow is observed. Their dissipation mechanisms and the influence of changes in model conditions on these waves are investigated. The model is found to be generally very successful in modelling these equatorial waves. Modelling of the QBO is one of the principle aims of this project and a QBO is successfully generated in a variety of model configurations. The modelled QBO is found to be sensitive to changes in the temperature structure of the model (brought about by changes in the model's radiation scheme) and several experiments are performed in order to learn what processes affect this sensitivity. A QBO is then generated in series of model runs where the state of the model is varied from very idealised (where temperatures in the model are relaxed towards an isothermal state by the radiation scheme) to a state that is far more realistic (a perpetual January run with realistic boundary information). A fairly realistic QBO is generated throughout many of the experiments. The properties of this QBO are investigated and compared to the observed QBO. The model is then run with planetary waves forced in addition to the QBO. The interaction between the planetary waves and the QBO is investigated. It is found that the planetary waves have little effect on the QBO propagation. The QBO however has a fairly strong modulating effect on the planetary waves in certain regions.
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Kordova-Vyhnalikova, Jana. "Mathematical modelling of atmospheric pollution : application of some eulerian-lagrangian trajectographic models to the prediction of atmospheric pollution." Université Louis Pasteur (Strasbourg) (1971-2008), 1997. http://www.theses.fr/1997STR13207.

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Ce memoire concerne la dispersion turbulente de particules lourdes au sein d'une couche limite turbulente. Pour ce faire, un modele eulerien d'ecoulement porteur a ete couple a une approche lagrangienne de trajectographie. La premiere etape dans l'etude du comportement dispersif de particules est de disposer d'une description suffisamment precise de l'ecoulement porteur. Le modele eulerien piapblm est concu pour simuler les ecoulements turbulents de type couche limite atmospherique. Ce modele a ete modifie pour decrire l'ecoulement de la couche limite classique. Il a ete complete par des relations algebriques deduites d'une fermeture au second ordre pour prendre en compte l'anisotropie du fluide porteur et pour decrire l'ecoulement de la sous-couche visqueuse et de la zone de tampon. La deuxieme etape de cette etude concerne le modele de trajectographie utilisant une approche statistique pour la prediction des caracteristiques de la phase dispersee. Les modifications apportees au modele concerne la simulation de la particule fluide en resolvant l'equation de langevin, la force de portance due au cisaillement, l'influence de la proximite de la paroi et les collisions particule-paroi. Le modele eulerien-lagrangien a ete valide en comparant ses resultats a ceux d'une experience recente realisee dans une soufflerie de type eiffel. Les profils simules de la vitesse moyenne du fluide sont en accord avec les profils experimentaux. On a observe l'influence de la facon de simuler la particule fluide (liee avec le probleme de la turbulence vue par la particule lourde) sur les profils de vitesse moyenne et des ecarts-types de la vitesse fluctuantes des particules lourdes. La comparaison avec une experience realisee en soufflerie est concluante. Avant son application a l'outil meteorologique, une etude atmospherique a ete effectuee en supposant la couche limite atmospherique dans les conditions de stratification stable.
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Holdsworth, David A. "Signal analysis with applications to atmospheric radars /." Title page, abstract and contents only, 1995. http://web4.library.adelaide.edu.au/theses/09PH/09phh728.pdf.

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廖俊豪 and Chun-ho Liu. "Numerical modelling of atmospheric boundary layer with application to air pollutant dispersion." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31239018.

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Books on the topic "Atmospheric Mathematical models"

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Enting, I. G. A strategy for calibrating atmospheric transport models. Melbourne: Commonwealth Scientific and Industrial Research Organization, Australia, 1985.

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Leland, Robert Patton. Stochastic Models for Laser Propagation in Atmospheric Turbulence. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989.

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Swart, H. E. de. Vacillation and predictability properties of low-order atmospheric spectral models. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1989.

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Sempf, Mario. Nichtlineare Dynamik atmosphärischer Zirkulationsregime in einem idealisierten Modell: Nonlinear dynamics of atmospheric circulation regimes in an idealized model. Bremerhaven: Alfred-Wegener-Institut für Polar- und Meeresforschung, 2006.

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Donner, Leo Joseph, Richard Somerville, and Wayne H. Schubert. The development of atmospheric general circulation models: Complexity, synthesis, and computation. Cambridge: Cambridge University Press, 2011.

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Roesch, Andreas Carl. Comparison and sensitivity studies of the land-surface schemes in the ECHAM general circulation model and the Europa-modell. Hamburg: Max-Planck-Institut für Meteorologie, 1997.

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Langematz, Ulrike. Eine dreidimensionale Modellsimulation der Zirkulation in der Mittleren Atmosphäre mit Aspekten troposphärisch-stratosphärischer Wechselwirkungen: (DK 551.506.7/551.510.53 ... Berlin: D. Reimer, 1991.

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Tschuck, Peter. Atmospheric blocking in a general circulation model. Zürich: Geographisches Institut ETH, 1998.

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Vychislenie dostupnoĭ potent͡s︡ialʹnoĭ ėnergii v dvusloĭnoĭ modeli Mint͡s︡a-Arakavy. Moskva: Vychislitelʹnyĭ t͡s︡entr AN SSSR, 1987.

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Van Knowe, Glenn E. (Glenn Earnest), ed. A first course in atmospheric numerical modeling. Madison, Wisconsin: Sundog Publishing, 2014.

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Book chapters on the topic "Atmospheric Mathematical models"

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Gluhovsky, Alexander, and Christopher Tong. "Low-Order Models of Atmospheric Dynamics with Physically Sound Behavior." In IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 147–52. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0792-4_17.

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Coiffier, Jean. "Models of the Atmosphere." In Mathematical Models, 43–70. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557853.ch3.

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Dymnikov, Valentin P., and Aleksander N. Filatov. "Solvability of Ocean and Atmosphere Models." In Mathematics of Climate Modeling, 235–46. Boston, MA: Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-4148-5_9.

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Piotrowski, Zbigniew P., Bartlomiej Matejczyk, Leszek Marcinkowski, and Piotr K. Smolarkiewicz. "Parallel ADI Preconditioners for All-Scale Atmospheric Models." In Parallel Processing and Applied Mathematics, 607–18. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32152-3_56.

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Tirabassi, T., and M. Tagliazucca. "A Three-Dimensional Mathematical Model of Dispersion in Turbulent Shear Flow." In Physico-Chemical Behaviour of Atmospheric Pollutants, 735–43. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3841-0_80.

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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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Kesarkar, A. P., P. N. Sen, and A. D. Tillu. "Atmospheric Pollutants Responsible for Acid Rains: A Mathematical Model for Transport." In Non-CO2 Greenhouse Gases: Scientific Understanding, Control and Implementation, 275–76. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9343-4_44.

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Kasahara, Akira. "3D Normal Mode Functions (NMFs) of a Global Baroclinic Atmospheric Model." In Mathematics of Planet Earth, 1–61. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60963-4_1.

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Ocampo-Torres, Francisco J., Pedro Osuna, Héctor García-Nava, and Nicolas G. Rascle. "Ocean Surface Waves and Ocean-Atmosphere Interactions." In Mathematical and Computational Models of Flows and Waves in Geophysics, 35–66. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12007-7_2.

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Ouala, Said, Pierre Tandeo, Bertrand Chapron, Fabrice Collard, and Ronan Fablet. "End-to-End Kalman Filter in a High Dimensional Linear Embedding of the Observations." In Mathematics of Planet Earth, 211–21. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_13.

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AbstractData assimilation techniques are the state-of-the-art approaches in the reconstruction of a spatio-temporal geophysical state such as the atmosphere or the ocean. These methods rely on a numerical model that fills the spatial and temporal gaps in the observational network. Unfortunately, limitations regarding the uncertainty of the state estimate may arise when considering the restriction of the data assimilation problems to a small subset of observations, as encountered for instance in ocean surface reconstruction. These limitations motivated the exploration of reconstruction techniques that do not rely on numerical models. In this context, the increasing availability of geophysical observations and model simulations motivates the exploitation of machine learning tools to tackle the reconstruction of ocean surface variables. In this work, we formulate sea surface spatio-temporal reconstruction problems as state space Bayesian smoothing problems with unknown augmented linear dynamics. The solution of the smoothing problem, given by the Kalman smoother, is written in a differentiable framework which allows, given some training data, to optimize the parameters of the state space model.
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Conference papers on the topic "Atmospheric Mathematical models"

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Penenko, Viktor V. "Mathematical models for monitoring and forecasting atmospheric aerosol spreading." In Sixth International Symposium on Atmospheric and Ocean Optics, edited by Gennadii G. Matvienko and Vladimir P. Lukin. SPIE, 1999. http://dx.doi.org/10.1117/12.370544.

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Zhuravleva, T. B., I. M. Nasrtdinov, T. V. Russkova, and T. Yu Chesnokova. "Mathematical simulation of brightness fields in broken clouds for observations from Earth’s surface and from space in plane and spherical atmospheric models." In XXII International Symposium Atmospheric and Ocean Optics. Atmospheric Physics, edited by Gennadii G. Matvienko and Oleg A. Romanovskii. SPIE, 2016. http://dx.doi.org/10.1117/12.2249270.

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Ahmad, Nash'at. "An Intercomparison of Two Mathematical Models for Meso- and Micro-scale Atmospheric Dynamics." In 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-556.

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Yuan, Qing, Zhiming Wu, Wang Li, Bo Yu, and Changchun Wu. "Comparative Study on Atmospheric Temperature Models for the Buried Hot Oil Pipeline." In 2018 12th International Pipeline Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/ipc2018-78451.

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In previous studies, the atmospheric temperature was generally assumed to be constant during a period (commonly a month) for the numerical simulation on the buried hot oil pipeline. The rationality of this assumption is controversial due to the absence of quantitative results, and thus it needs to be further verified or investigated to make atmospheric temperature approximation more convincing. In this study, based on the changing trend of actual atmospheric temperature, three mathematical models are established and their expressions are presented according to different approximations. And the relationships among these three expressions are obtained by utilizing mathematical derivation. On the basis of three atmospheric temperature models, the weakly unsteady single oil transportation and strongly unsteady batch transportation are numerically simulated, respectively. According to numerical results, the oil temperature at the pipeline ending point and the soil temperature field are compared for these three models. In order to make comparisons more convincing, the influences of the physical properties of crude oil, operation parameters, pipeline parameters and pipeline environments on the deviations of numerical results are compared and analyzed. Finally, based on all comparisons on the deviations of numerical results, the conclusions are drawn, which can provide beneficial reference for the choice of atmospheric temperature models in future numerical simulation study on the buried hot oil pipeline.
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Kundas, S., A. Kuzmenkov, E. Lugscheider, and U. Eritt. "Integrated Simulation of the Atmospheric Plasma Spraying Process." In ITSC 1998, edited by Christian Coddet. ASM International, 1998. http://dx.doi.org/10.31399/asm.cp.itsc1998p0425.

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Abstract The main purpose of this work is the development of mathematical and computer models for the integrated simulation of all stages of the atmospheric plasma spraying process (APS) with temperature dependent thermophysical and mechanical properties of the used materials and gases and experimental verification of the simulated results. The following mathematical models of APS were created: particle heating and movement in the plasma jet; coating structure formation; heat transfer and residual stresses in the coating-substrate system. The computer realization of these models enables us to model all stages of APS (integrated or separately). Databases of coating, substrate and plasma-gas substances include the temperature dependent properties. The model of APS is divided in 3 parts, which are connected by continuous data interface. Two dimensional approximation of plasma-gas velocity and temperature in the free plasma jet was used for computation of particle velocity, trajectory and temperature. This information was created with a special Graphic program module and included in database. Computer experiments for plasma spraying of Ah03 and ZrO2+8%Y2O3 in Ar/H2 plasma were carried out. The experimental verification of developed models with High-Velocity-Pyrometry (HVP) and Laser-Doppler-Anemometry (LDA) have shown the satisfactory precision of simulated results.
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Demetrashvili, Demuri, Aleksandre Surmava, and Vepkhia Kukhalashvili. "MODELING OF DYNAMIC PROCESSES IN THE BLACK SEA AND ATMOSPHERE IN PERSPECTIVE OF THEIR COUPLING FOR THE BLACK SEA REGION." In GEOLINKS Conference Proceedings. Saima Consult Ltd, 2021. http://dx.doi.org/10.32008/geolinks2021/b2/v3/16.

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"At the modern stage of the development of Geosciences, the study of hydrothermodynamic and ecological processes occurring in the natural environment (sea, atmosphere, soil), their monitoring and forecasting become very relevant and are a necessary condition for sustainable development of society. The Caucasus region is one of the most difficult regions of the world from the point of view its physical and geographical features. These features include the Black and Caspian Seas and the complex terrain of the Caucasus. The Seas and the atmosphere are unified hydrodynamic systems, between subsystems of which processes of an exchange of energies, momentum and substances continuously take place. One of the most effective ways to study natural and environmental processes is methods of mathematical modeling, which allows reproducing these processes and phenomena and studying the quantitative contribution of various factors to the development of such processes. The purpose of the paper is to discuss the models of the Black Sea and atmospheric dynamics developed at M. Nodia Institute of Geophysics of I. Javakhishvili Tbilisi State University, and some results of their implementation. The model of the Black Sea dynamics is based on a full system of ocean hydro-thermodynamics equations. Its high-resolution version, which is nested in the basin-scale model of the Black Sea dynamics of Marine Hydrophysical Institute (MHI, Sevastopol), is used to forecast main hydrophysical fields for the easternmost part of the Black Sea. The model of the atmospheric dynamics is based on a full system of atmospheric hydro-thermodynamics equations in hydrostatic approximation written in the terrain-following coordinate system and is realized for the extended territory including the eastern part of the Mediterranean Sea and Black and Caspian seas and for the Caucasus region. These models, after some modification will form the basis of the coupled Black Sea-atmosphere limited-area modeling system."
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Ganesh, Sneha, Todd Schweisinger, and John R. Wagner. "An Atmospheric Energy Harvester System: Linear Model and Test." In ASME 2018 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dscc2018-9150.

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Energy harvesters are steadily gaining popularity as a power source for microelectronic circuits, particularly in wireless sensor nodes and autonomous devices. Energy harvesting from small temperature and/or pressure variations, coupled with an appropriate energy storage unit, can generate sufficient electric power to operate low power electronics. Ongoing research in this area seeks to improve the power capacity and conversion efficiencies of such systems. In this project, a phase change vapor based atmospheric energy harvester with an electromechanical power transformer has been developed. An ethyl chloride fluid system converts the pressure generated, in response to nominal environmental changes, into usable electric power through a mechanical driveline-spring unit and attached DC generator. Published numerical results have indicated 9.6 mW power generation capacity over a 24 hour period for a low frequency sinusoidal temperature input with ±1°C variation at standard pressure. A prototype electromechanical unit was fabricated and experimentally tested; 30 mW electric power for a resistance load was recorded using an emulated input corresponding to 50 bidirectional cyclic atmospheric variations (∼175 hour period). Linearized models were derived to help evaluate the system’s transient characteristics and these mathematical results agreed favorably with the experimental behavior.
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LOPATO, A. I., and A. G. EREMENKO. "PARALLEL SOLVER FOR THE SIMULATIONS OF DETONATION WAVES ON UNSTRUCTURED GRIDS." In 9th International Symposium on Nonequilibrium Processes, Plasma, Combustion, and Atmospheric Phenomena. TORUS PRESS, 2020. http://dx.doi.org/10.30826/nepcap9b-17.

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The paper is devoted to the numerical modeling of detonation initiation in the flat channel with the profiled end-wall of the elliptic form. Mathematical model is based on two-dimensional Euler equations supplemented by the chemical kinetics model to describe the combustion of a hydrogen-oxygen mixture under the low pressure. Both the global kinetic model and the detailed Petersen—Hanson (PH) model are applied. The computations are performed on unstructured triangular grids using numerical method of second approximation order. For the calculation of time reduction, the computational algorithm was parallelized using the open source library ParMETIS to divide the computational domain. The mechanism of detonation initiation by the incident shock wave (SW) with the Mach number~2.7 is described. The results of initiation of the detonation wave (DW) for two models of chemical kinetics are compared with the identification of similarities and differences in the process.
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FROLOV, S. M. "SPHERICAL DIFFUSION FLAME IN MICROGRAVITY CONDITIONS: FIRST RESULTS OF JOINT RUSSIAN-AMERICAN SPACE EXPERIMENT FLAME DESIGN - ADAMANT." In 9th International Symposium on Nonequilibrium Processes, Plasma, Combustion, and Atmospheric Phenomena. TORUS PRESS, 2020. http://dx.doi.org/10.30826/nepcap9b-13.

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The joint NASA\,—\,Roscosmos Flame Design (Adamant) spaceflight experiment is one of six International Space Station (ISS) investigations which are currently a~part of the Advanced Combustion via Microgravity Experiments (ACME) project. The objective of the spaceflight experiment is to study normal and inverse (with respect to the direction of forced convection) spherical diffusion ethylene—oxygen diluted flames around a~porous sphere (PS) in microgravity when the flame structure can be isolated from natural convection effects. The experiment is focused on revealing the conditions of flame extinction caused by radiative heat loss and the onset (inception) of soot. The data from the experiment are used for validating numerical simulations based on the physical and mathematical models of different complexity including detailed/reduced chemical mechanisms of fuel oxidation, species transport, and radiative heat transfer. It is expected that the project will improve our understanding of flame physics and chemistry and provide novel solutions for controlled combustion with reduced pollutants in terrestrial applications. The paper presents some experimental and computational results obtained so far by the international research team.
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de Lemos, Marcelo J. S., and Renato Alves da Silva. "Simulation of Turbulent Flow in a Channel Partially Occupied by a Porous Layer Considering the Stress Jump at the Interface." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31279.

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Environmental flows of extreme importance, such as turbulent atmospheric boundary layer over thick rain forests, may benefit from more realistic mathematical models. Accordingly, flow over layers of dense vegetation can be characterized by some sort of porous structure through which a fluid permeates. For hybrid media, involving both a porous structure and a clear flow region, difficulties arise due to the proper mathematical treatment given at the interface. The literature proposes a jump condition in which shear stresses on both sides of the interface are not of the same value. This paper presents numerical solutions for such hybrid medium, considering here a channel partially filled with a porous layer through which fluid flows in turbulent regime. One unique set of transport equations is applied to both regions. Effects of Reynolds number, porosity, permeability and jump coefficient on mean and turbulence fields are investigated. Results indicate that depending on the value of the stress jump parameters, a substantially different structure for the turbulent field is obtained.
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