Relevant bibliographies by topics / Hydrodynamic integrable systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers
  5. Reports

Academic literature on the topic 'Hydrodynamic integrable systems'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Hydrodynamic integrable systems"

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Kupershmidt, Boris A. "Noncommutative Integrable Systems of Hydrodynamic Type." Acta Applicandae Mathematicae 92, no. 3 (September 21, 2006): 269–92. http://dx.doi.org/10.1007/s10440-006-9054-1.

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Fava, Michele, Sounak Biswas, Sarang Gopalakrishnan, Romain Vasseur, and S. A. Parameswaran. "Hydrodynamic nonlinear response of interacting integrable systems." Proceedings of the National Academy of Sciences 118, no. 37 (September 7, 2021): e2106945118. http://dx.doi.org/10.1073/pnas.2106945118.

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We develop a formalism for computing the nonlinear response of interacting integrable systems. Our results are asymptotically exact in the hydrodynamic limit where perturbing fields vary sufficiently slowly in space and time. We show that spatially resolved nonlinear response distinguishes interacting integrable systems from noninteracting ones, exemplifying this for the Lieb–Liniger gas. We give a prescription for computing finite-temperature Drude weights of arbitrary order, which is in excellent agreement with numerical evaluation of the third-order response of the XXZ spin chain. We identify intrinsically nonperturbative regimes of the nonlinear response of integrable systems.
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Prykarpatskyy, Yarema. "On the Integrable Chaplygin Type Hydrodynamic Systems and Their Geometric Structure." Symmetry 12, no. 5 (May 1, 2020): 697. http://dx.doi.org/10.3390/sym12050697.

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A class of spatially one-dimensional completely integrable Chaplygin hydrodynamic systems was studied within framework of Lie-algebraic approach. The Chaplygin hydrodynamic systems were considered as differential systems on the torus. It has been shown that the geometric structure of the systems under analysis has strong relationship with diffeomorphism group orbits on them. It has allowed to find a new infinite hierarchy of integrable Chaplygin like hydrodynamic systems.
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Mokhov, O. I. "Integrable bi-Hamiltonian systems of hydrodynamic type." Russian Mathematical Surveys 57, no. 1 (February 28, 2002): 153–54. http://dx.doi.org/10.1070/rm2002v057n01abeh000483.

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Ferapontov, E. V., and A. P. Fordy. "Separable Hamiltonians and integrable systems of hydrodynamic type." Journal of Geometry and Physics 21, no. 2 (January 1997): 169–82. http://dx.doi.org/10.1016/s0393-0440(96)00013-7.

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Odesskii, A. V., and V. V. Sokolov. "Integrable (2+1)-dimensional systems of hydrodynamic type." Theoretical and Mathematical Physics 163, no. 2 (May 2010): 549–86. http://dx.doi.org/10.1007/s11232-010-0043-1.

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Kodama, Y., and B. G. Konopelchenko. "Confluence of hypergeometric functions and integrable hydrodynamic-type systems." Theoretical and Mathematical Physics 188, no. 3 (September 2016): 1334–57. http://dx.doi.org/10.1134/s0040577916090051.

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Dubrovin, B. A. "Differential geometry of strongly integrable systems of hydrodynamic type." Functional Analysis and Its Applications 24, no. 4 (1991): 280–85. http://dx.doi.org/10.1007/bf01077332.

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El, Gennady A. "Soliton gas in integrable dispersive hydrodynamics." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 11 (November 1, 2021): 114001. http://dx.doi.org/10.1088/1742-5468/ac0f6d.

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Abstract We review the spectral theory of soliton gases in integrable dispersive hydrodynamic systems. We first present a phenomenological approach based on the consideration of phase shifts in pairwise soliton collisions and leading to the kinetic equation for a non-equilibrium soliton gas. Then, a more detailed theory is presented in which soliton gas dynamics are modelled by a thermodynamic type limit of modulated finite-gap spectral solutions of the Korteweg–de Vries and the focusing nonlinear Schrödinger (NLS) equations. For the focusing NLS equation the notions of soliton condensate and breather gas are introduced that are related to the phenomena of spontaneous modulational instability and the rogue wave formation. The integrability properties of the kinetic equation for soliton gas are discussed and some physically relevant solutions are presented and compared with direct numerical simulations of dispersive hydrodynamic systems.
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De Nardis, Jacopo, Benjamin Doyon, Marko Medenjak, and Miłosz Panfil. "Correlation functions and transport coefficients in generalised hydrodynamics." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 1 (January 1, 2022): 014002. http://dx.doi.org/10.1088/1742-5468/ac3658.

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Abstract We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response on top of equilibrium and non-equilibrium states. We consider the problems from the complementary perspectives of the general hydrodynamic theory of many-body systems, including hydrodynamic projections, and form-factor expansions in integrable models, and show how they provide a comprehensive and consistent set of exact methods to extract large scale behaviours. Finally, we overview various applications in integrable spin chains and field theories.
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Dissertations / Theses on the topic "Hydrodynamic integrable systems"

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Stoilov, Nikola. "Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions and their dispersive deformations." Thesis, Loughborough University, 2011. https://dspace.lboro.ac.uk/2134/10183.

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Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure and the theory of Frobenius manifolds. In 1 + 1 dimensions, the requirement of the integrability of such systems by the generalised hodograph transform implies that integrable Hamiltonians depend on a certain number of arbitrary functions of two variables. On the contrary, in 2 + 1 dimensions the requirement of the integrability by the method of hydrodynamic reductions, which is a natural analogue of the generalised hodograph transform in higher dimensions, leads to finite-dimensional moduli spaces of integrable Hamiltonians. We classify integrable two-component Hamiltonian systems of hydrodynamic type for all existing classes of differential-geometric Poisson brackets in 2D, establishing a parametrisation of integrable Hamiltonians via elliptic/hypergeometric functions. Our approach is based on the Godunov-type representation of Hamiltonian systems, and utilises a novel construction of Godunov's systems in terms of generalised hypergeometric functions. Furthermore, we develop a theory of integrable dispersive deformations of these Hamiltonian systems following a scheme similar to that proposed by Dubrovin and his collaborators in 1 + 1 dimensions. Our results show that the multi-dimensional situation is far more rigid, and generic Hamiltonians are not deformable. As an illustration we discuss a particular class of two-component Hamiltonian systems, establishing triviality of first order deformations and classifying Hamiltonians possessing nontrivial deformations of the second order.
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Sciarappa, Antonio. "Developments in Quantum Cohomology and Quantum Integrable Hydrodynamics via Supersymmetric Gauge Theories." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4867.

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Casati, Matteo. "Multidimensional Poisson Vertex Algebras and Poisson cohomology of Hamiltonian structures of hydrodynamic type." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4853.

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The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Hamiltonian structure of a broad class of evolutionary PDEs, that are ubiquitous in the theory of Integrable Systems, ranging from Hopf equation to the principal hierarchy of a Frobenius manifold. They can be regarded as an analogue of the classical Poisson brackets, defined on an infinite dimensional space of maps Σ → M between two manifolds. Our main problem is the study of Poisson-Lichnerowicz cohomology of such space when dim Σ > 1. We introduce the notion of multidimensional Poisson Vertex Algebras, generalizing and adapting the theory by A. Barakat, A. De Sole, and V. Kac [Poisson Vertex Algebras in the theory of Hamiltonian equations, 2009]; within this framework we explicitly compute the first nontrivial cohomology groups for an arbitrary Poisson bracket of hydrodynamic type, in the case dim Σ = dim M = 2. For the case of the so-called scalar brackets, namely the ones for which dim M = 1, we give a complete description on their Poisson–Lichnerowicz cohomology. From this computations it follows, already in the particular case dim Σ = 2, that the cohomology is infinite dimensional.
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Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model is proposed in such a way that spontaneous symmetry breaking and the Bogomolny argument still hold. The Painlevé test, when applied to its soliton equations, reveals a complete list of its integrable cases. The corresponding solutions are given in terms of third Painlevé transcendents and can be interpreted as original vortices on surfaces with conical singularity. The last two chapters present the following results in projective differential geometry and Hamiltonians of hydrodynamic-type systems. It is shown that the projective structures defined by the Painlevé equations are not metrisable unless either the corresponding equations admit first integrals quadratic in first derivatives or they define projectively flat structures. The corresponding first integrals can be derived from Killing vectors associated to the metrics that solve the metrisability problem. Secondly, it is given a complete set of necessary and sufficient conditions for an arbitrary affine connection in 2D to admit, locally, 0, 1, 2 or 3 Killing forms. These conditions are tensorial and simpler than the ones in previous literature. By defining suitable affine connections, it is shown that the problem of existence of Killing forms is equivalent to the conditions of the existence of Hamiltonian structures for hydrodynamic-type systems of two components.
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Vu, Dinh-Long. "A diagrammatic approach towards the thermodynamics of integrable systems." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASS143.

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Dans cette thèse, nous cherchons à remplacer la dérivation traditionnelle de l'Ansatz de Bethe Thermodynamique (TBA) par une nouvelle méthode basée sur une sommation directe. L'idée centrale est d'utiliser le théorème de matrice-arbre pour écrire le déterminant de Gaudin qui apparaît dans l'expansion de cluster comme une somme sur des graphs. Pour les théories quantiques des champs intégrables avec une matrice de diffusion diagonale, nous obtenons avec cette nouvelle approche diverses quantités, notamment l'équation de TBA, la formule de Leclair-Mussardo pour la fonction à un point d'un opérateur local, l'énergie des états excités en volume fini et l'entropie du bord ou la fonction g, le tout d'une façon uniforme. Elle peut également être utilisée pour trouver les équations d'état dans l'Hydrodynamique Généralisée - un cadre récemment proposé pour décrire les propriétés de transport de systèmes intégrables hors d'équilibre. D'un autre côté, les théories avec une matrice de diffusion non diagonale posent plusieurs problèmes à cette méthode. Une théorie candidate a été considérée et une procédure pour trouver la fonction g dans ce cas a été proposée
In this thesis, we seek to replace the traditional derivation of the Thermodynamic Bethe Ansatz (TBA) by a new method of direct summation. The key idea is to use the matrix-tree theorem to write the Gaudin determinant appearing in the cluster expansion as a sum over graphs. For integrable quantum field theories with diagonal scattering matrix, we find that this new approach can recover various quantities including the TBA equation, the Leclair-Mussardo formula for the one point function of a local operator, the excited state energies in finite volume and the boundary entropy or g-function, all in a uniform fashion. It can also be used to find the equations of state in Generalized Hydrodynamics- a recently proposed framework to describe transport properties of integrable systems out of equilibrium. On the other hand, this method faces several problems when applied to theories with non-diagonal scattering matrix and case-dependent analysis is required. A candidate theory has been considered and a procedure to find the g-function of such theory has been proposed
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Book chapters on the topic "Hydrodynamic integrable systems"

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Volkov, V., and V. Zholkevich. "Oppositely-directed water flows in roots with respect to the plant integral hydrodynamic system." In Root Demographics and Their Efficiencies in Sustainable Agriculture, Grasslands and Forest Ecosystems, 623–30. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5270-9_55.

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Conference papers on the topic "Hydrodynamic integrable systems"

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ABENDA, S. "RECIPROCAL TRANSFORMATIONS AND INTEGRABLE HAMILTONIAN HYDRODYNAMIC TYPE SYSTEMS." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0001.

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KODAMA, YUJI, and BORIS G. KONOPELCHENKO. "DEFORMATIONS OF PLANE ALGEBRAIC CURVES AND INTEGRABLE SYSTEMS OF HYDRODYNAMIC TYPE." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0033.

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Metcalf, Bryson J., and Gabor Karafiath. "Hydrodynamic Assessment of Alternative Propulsion Arrangements." In SNAME 10th Propeller and Shafting Symposium. SNAME, 2003. http://dx.doi.org/10.5957/pss-2003-20.

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Non-traditional hydrodynamic propulsion systems such as pods, water jets, surface drives, and vertical axis propellers either inherently provide a steering capability or are sold with the steering element as an integral part. In addition, the appendage drag of these systems varies greatly. Thus the traditional measure of merit, the propulsive coefficient, which is mostly concerned with propeller efficiency and hull-propeller interaction, is not the best assessment of non-traditional propulsion systems. A new proposed measure of merit called the Hydrodynamic system coefficient is presented It is the ratio of the "bare hull" effective power to the final delivered power. Bare hull in this case refers to the vessel configuration without it's steering and propulsion-related appendages. The Hydrodynamic system coefficient is presented for several cases of the following vessel configurations; twin-pod propulsion, traditional shaft and strut arrangements, and nonintegral type skegs. Additionally, the application is also explained for vertical axis propellers, water-jet propulsion, tunnel hull arrangements, and surface drives. It is shown that the Hydrodynamic system coefficient is an excellent single parameter for comparing/assessing the performance among these various types of propulsion arrangements. The unadjusted model-test results are presented along with an adjusted calculation for cases where the rotating element of the model propulsor had poor performance.
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Chen, Yong, Lu Cao, Yiyong Huang, and Xiaoqian Chen. "Integral sliding mode controller for pressure stabilization in hydrodynamic system with hydraulic accumulator." In 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV 2012). IEEE, 2012. http://dx.doi.org/10.1109/icarcv.2012.6485260.

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Gupta, Prateek, Sverre Steen, and Adil Rasheed. "Big Data Analytics As a Tool to Monitor Hydrodynamic Performance of a Ship." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95815.

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Abstract A modern ship is fitted with numerous sensors and Data Acquisition Systems (DAQs) each of which can be viewed as a data collection source node. These source nodes transfer data to one another and to one or many centralized systems. The centralized systems or data interpreter nodes can be physically located onboard the vessel or onshore at the shipping data control center. The main purpose of a data interpreter node is to assimilate the collected data and present or relay it in a concise manner. The interpreted data can further be visualized and used as an integral part of a monitoring and decision support system. This paper presents a simple data processing framework based on big data analytics. The framework uses Principal Component Analysis (PCA) as a tool to process data gathered through in-service measurements onboard a ship during various operational conditions. Weather hindcast data is obtained from various sources to account for environmental loads on the ship. The proposed framework reduces the dimensionality of high dimensional data and determines the correlation between data variables. The accuracy of the model is evaluated based on the data recorded during the voyage of a ship.
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He, Xiaoqiang, Puzhen Gao, and Weichao Yuan. "Hydrodynamic Analysis of Steam Generator Under LOCA Conditions." In 2021 28th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/icone28-64709.

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Abstract Loss of coolant accident (LOCA) is one of most severe accidents of nuclear power plant. The coolant will discharge from the break when this accident occurs, consequently exert large hydrodynamic load on the primary loop system because of the fluid acting force as well as the propagation of pressure wave, then may further influence the pressure boundary of the primary loop. Steam generator (SG) is a crucial device with complex structure, hydrodynamic forces of its U-type tube and plate have been analyzed under various cases in this paper. Firstly, the reactor core and primary loop system of pressurized water reactor nuclear power plant (NPP) was modeled with RELAP5. Then a LOCA was simulated and the thermal hydraulic characteristics such as the pressure and mass flow rate were obtained. Finally, the forces at key positions of SG were calculated with the control volume integral method. The sensitivity analysis was also performed, including the break opening time, number of control volumes as well as the time step chosen in the hydrodynamic force calculation. The results have shown that the break opening time has a great influence on the numerical calculation that should be carefully set before the simulation, and the maximum hydrodynamic force is obtained under the condition that double-ended offset shear break at outlet nozzle of SG, and the pressure difference between the two sides of SG divider plate obviously increases compared with the normal operation condition. Thus, some meaningful suggestions have been provided for the design and safety analysis of SG.
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Boppe, Charles W., Bruce S. Rosen, Joseph P. Laiosa, and Britton Chance. "Stars & Stripes '87; Computational Flow Simulations for Hydrodynamic Design." In SNAME 8th Chesapeake Sailing Yacht Symposium. SNAME, 1987. http://dx.doi.org/10.5957/csys-1987-009.

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Computerized flow simulation methods have been developed, refined, and implemented as an aid for hydrodynamic optimization of the 12-metre yacht "Stars & Stripes 87". Forming one element of a triad, computational analyses and Velocity Prediction Program trends were complemented with 1/3 scale towing tank models and full scale field testing. A background analysis of the yachts "Liberty" and "Australia II" provides a foundation for understanding relative performance issues. In particular, the wave resistance and lift-induced drag (vortex and wave) levels are quantified. Techniques involving Fourier analysis, integral methods, panel methods, and finite difference schemes are described. Parametric studies illustrating trends are augmented with a fundamental description of component-induced flow fields. Two appendices provide details on automation of computational model definition and a new free-surface analysis scheme for predicting wave resistance effects due to volume, lift, and heel. It is shown that the primary benefit of the computational effort is improved performance by means of a systems approach involving element decomposition, sub-optimizations, and element linking based on sensitivity information.
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Acharya, Vishal. "Optimum Injector Parameters for Thermoacoustic Stability in a Multi-Nozzle Can Combustion System." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-83392.

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Abstract High-frequency transverse instabilities are an important concern in can combustor configurations. In these configurations which are typically operated with multiple injectors around a central injector, each injector is subjected to different parts of the acoustic mode shape and thus respond differently for the same instability mode. Recent work by the author has modeled the response of premixed flames to excitation by natural high-frequency transverse modes in a can combustor both in the center and outer nozzles. The stability of these acoustically non-compact flames was assessed using the Rayleigh criterion (Rayleigh Integral denoted as RI) and not the overall unsteady heat release as is the case for compact flames. Several key control parameters were studied, namely — flame angle, swirling strength, nozzle location. For non-axisymmetric modes such as the commonly occurring 1-T mode, both radial and azimuthal offsets of the nozzle location affected stability. The framework was applied to an optimization study to identify the optimal combination of parameters that minimizes RI for the different nozzles in the multi-nozzle system. In this study, a N-around-1 configuration was studied, and the results indicated that the different nozzles needed to be operated at different flame angles and swirl numbers to result in an overall minimum RI. However, the specific response of the different injectors was not considered. The helical mode distribution at each injector varies as we azimuthally go around the combustor’s injector distribution and thus the most amplified mode and the resulting flame response would be different. To minimize RI, it is important to determine the injector configurations that result in a hydrodynamic profile that minimizes the individual RI for each nozzle. The resulting relationship between the injector’s flow and local hydrodynamics can then be used in a hydrodynamics study of an individual injector so that the most optimal injector is chosen depending on its location in the combustor dump plane.
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Dormenev, Vladislav. "Waterflood Optimization on the West Siberia Field with Hydrodynamic Modeling." In SPE Annual Technical Conference and Exhibition. SPE, 2022. http://dx.doi.org/10.2118/212388-stu.

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Abstract Waterflooding is the main method of developing oil fields both in Western Siberia and in most other oil-producing countries. Most of these fields located in Russia are mature. Creating new technologies or optimizing the existing ones is the key to the effective development of residual hydrocarbon reserves. Optimization of a waterflood pattern is one of the main tasks of the oil industry. It implies planning and implementing a set of measures in the field that will affect the waterflood pattern and either increase the oil recovery factor, production or optimize the complex technical-economic parameter. The purpose of the work is to increase the efficiency of oil field development by optimizing the waterflood pattern by means of hydrodynamic modeling on the example of the Western Siberian field. Waterflood optimization can be accomplished by sidetracking or changing the development system. An integral element of a waterflood optimization system is always a field model, based on which the implementing different measures is planned. In this paper, hydrodynamic modeling was used to evaluate the effectiveness of waterflood optimization. It is considered one of the most powerful predictive tools available to reservoir engineers. RN KIN software was studied, with the help of which the basic data about the field was obtained. The waterflood pattern was selected for the decision to implement a local measure. A hydrodynamic model was used to analyze the effectiveness of the measure. Waterflood pattern model of the field was built and adapted. Four measures, potentially aimed at increasing the efficiency of the waterflood pattern, were proposed. After carrying out calculations, the best of them was selected from a technical and economic point of view. Hydrodynamic modeling and calculation of development parameters were carried out in the Petrel software. In the course of the study, the possibility of using hydrodynamic modeling to analyze the efficiency of the waterflood pattern was shown. Sidetracking of the longest length proved to be the most effective measure to increase cumulative oil production and reduce cumulative water production. Thus, the paper obtained results that can serve as a good basis for justifying the effectiveness of well intervention on the example of the oil field in Western Siberia.
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Heshmat, Hooshang, and James F. Walton. "On the Integration of Hot Foil Bearings Into Gas Turbine Engines: Theoretical Treatment." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91710.

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Abstract To achieve high power density Gas Turbine Engines (GTEs), R&D efforts have strived to develop machines that spin faster and run hotter. One method to achieve that goal is to use high temperature capable foil bearings. In order to successfully integrate these advanced foil bearings into GTE systems, a theoretical understanding of both bearing and rotor system integration is essential. Without a fundamental understanding and sound theoretical modeling of the foil bearing coupled with the rotating system such an approach would prove application efforts fruitless. It is hoped that the information provided in this paper will open up opportunistic doors to designs presently thought to be impossible. In this paper an attempt is made to describe how an advanced foil bearing is modeled for extreme high temperature operation in high performance turbomachinery including GTEs, Supercritical CO2 turbine generators and others. The authors present the advances in foil bearing capabilities that were crucial to achieving high temperature operation. Achieving high performance in a compliant foil bearing under the wide extremes of operating temperatures, pressures and speeds, requires a bearing system design approach that accounts for the highly interrelated compliant surface foil bearing elements such as: the structural stiffness and frictional characteristics of the underlying compliant support structure across the operating temperature and pressure spectrum; and the coupled interaction of the structural elements with the hydrodynamic pressure generation. This coupled elasto-hydrodynamic-Finite Element highly non-linear iterative methodology will be used by the authors to present a series of foil bearing design evaluations analyzing and modeling the foil bearing under extreme conditions. The complexity of the problem of achieving foil bearing system operation beyond 870°C (1600°F) requires as a prerequisite the attention to the tribological details of the foil bearing. For example, it is necessary to establish how both the frictional and viscous damping coefficient elements as well as the structural and hydrodynamic stiffness are to be combined. By combining these characteristics the influence of frictional coefficients of the elastic and an-elastic materials on bearing structural stiffness and hence the bearing effective coupled elasto-hydrodynamic stiffness coefficients will be shown. Given that the bearing dynamic parameters — stiffness and damping coefficients — play a major role in the control of system dynamics, the design approach to successfully integrate compliant foil bearings into complex rotating machinery systems operating in extreme environments is explored by investigating the effects of these types of conditions on rotor-bearing system dynamics. The proposed rotor/bearing model is presented to describe how system dynamics and bearing structural properties and operating characteristics are inextricably linked together in a manner that results in a series separate but intertwined iterative solutions. Finally, the advanced foil bearing modeling and formulation in connection with resulting rotor dynamics of the system will be carried out for an experimental GTE simulator test rig. The analytical results will be compared with the experiments as presented previously to demonstrate the effectiveness of the developed method in a real world application [1].
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Reports on the topic "Hydrodynamic integrable systems"

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Torres, Marissa, and Norberto Nadal-Caraballo. Rapid tidal reconstruction with UTide and the ADCIRC tidal database. Engineer Research and Development Center (U.S.), August 2021. http://dx.doi.org/10.21079/11681/41503.

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The quantification of storm surge is vital for flood hazard assessment in communities affected by coastal storms. The astronomical tide is an integral component of the total still water level needed for accurate storm surge estimates. Coastal hazard analysis methods, such as the Coastal Hazards System and the StormSim Coastal Hazards Rapid Prediction System, require thousands of hydrodynamic and wave simulations that are computationally expensive. In some regions, the inclusion of astronomical tides is neglected in the hydrodynamics and tides are instead incorporated within the probabilistic framework. There is a need for a rapid, reliable, and accurate tide prediction methodology to provide spatially dense reconstructed or predicted tidal time series for historical, synthetic, and forecasted hurricane scenarios. A methodology is proposed to combine the tidal harmonic information from the spatially dense Advanced Circulation hydrodynamic model tidal database with a rapid tidal reconstruction and prediction program. In this study, the Unified Tidal Analysis program was paired with results from the tidal database. This methodology will produce reconstructed (i.e., historical) and predicted tidal heights for coastal locations along the United States eastern seaboard and beyond and will contribute to the determination of accurate still water levels in coastal hazard analysis methods.
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