Relevant bibliographies by topics / Fluid dynamical problems

Contents

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

Academic literature on the topic 'Fluid dynamical problems'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Fluid dynamical problems"

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Nobumasa, Sugimoto. "IL12 THERMOACOUSTIC INSTABILITY AND ITS RELATED FLUID DYNAMICAL PROBLEMS." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2013.4 (2013): _IL12–1_—_IL12–12_. http://dx.doi.org/10.1299/jsmeicjwsf.2013.4._il12-1_.

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Lim, H. A. "Lattice-gas automaton simulations of simple fluid dynamical problems." Mathematical and Computer Modelling 14 (1990): 720–27. http://dx.doi.org/10.1016/0895-7177(90)90276-s.

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Zeytounian, R. Kh. "Well-posedness of problems in fluid dynamics (a fluid-dynamical point of view)." Russian Mathematical Surveys 54, no. 3 (June 30, 1999): 479–564. http://dx.doi.org/10.1070/rm1999v054n03abeh000152.

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Koumboulis, F. N., M. G. Skarpetis, and B. G. Mertzios. "Numerical integration of fluid dynamics problems by discrete dynamical systems." Chaos, Solitons & Fractals 11, no. 1-3 (January 2000): 193–206. http://dx.doi.org/10.1016/s0960-0779(98)00284-7.

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Zarnescu, Arghir. "Mathematical problems of nematic liquid crystals: between dynamical and stationary problems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2201 (May 24, 2021): 20200432. http://dx.doi.org/10.1098/rsta.2020.0432.

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Mathematical studies of nematic liquid crystals address in general two rather different perspectives: that of fluid mechanics and that of calculus of variations. The former focuses on dynamical problems while the latter focuses on stationary ones. The two are usually studied with different mathematical tools and address different questions. The aim of this brief review is to give the practitioners in each area an introduction to some of the results and problems in the other area. Also, aiming to bridge the gap between the two communities, we will present a couple of research topics that generate natural connections between the two areas. This article is part of the theme issue ‘Topics in mathematical design of complex materials’.
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Rahman, Aminur, and Denis Blackmore. "Walking droplets through the lens of dynamical systems." Modern Physics Letters B 34, no. 34 (November 9, 2020): 2030009. http://dx.doi.org/10.1142/s0217984920300094.

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Over the past decade the study of fluidic droplets bouncing and skipping (or “walking”) on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connections with quantum mechanics, and complex nonlinear dynamics. We detail advancements in the field of walking droplets through the lens of Dynamical Systems Theory, and outline questions that can be answered using dynamical systems analysis. The paper begins by discussing the history of the fluidic experiments and their resemblance to quantum experiments. With this physics backdrop, we paint a portrait of the complex nonlinear dynamics present in physical models of various walking droplet systems. Naturally, these investigations lead to even more questions, and some unsolved problems that are bound to benefit from rigorous Dynamical Systems Analysis are outlined.
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Geiser, Jürgen. "Modelling and analysis of multiscale systems related to fluid dynamical problems." Mathematical and Computer Modelling of Dynamical Systems 24, no. 4 (July 4, 2018): 315–18. http://dx.doi.org/10.1080/13873954.2018.1488743.

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Wang, Hao Cheng, and Jian Liu. "On Dynamical Simulations in Abrasive Flow Finishing." Advanced Materials Research 320 (August 2011): 75–80. http://dx.doi.org/10.4028/www.scientific.net/amr.320.75.

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In this paper, we point out several problems on fluid mechanics existing in the abrasive flow finishing, and study the dynamic simulations methods in the area. A case study is conducted on the process of free abrasive flow finishing, where we complete the dynamic simulations on the kinematic characteristics by a model of two-phase fluid. It is shown that the theory of two-phase fluid can practically direct the design of polishing machine, and the selection as well as the optimization of parameters for polishing technique.
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Moon, F. C. "Nonlinear Dynamical Systems." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1284–86. http://dx.doi.org/10.1115/1.3143693.

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New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs. Another is the sensitivity of the long time dynamic history of many systems to initial starting conditions even when the motion is not chaotic. New mathematical ideas to describe this phenomenon are entering the field of nonlinear vibrations and include ideas from topology and analysis such as Poincare´ maps, fractal dimensions, Cantor sets and strange attractors. These new ideas are already making their way into the engineering vibrations laboratory. Further research in this field is needed to extend these new ideas to multi-degree of freedom and continuum vibration problems. Also the loss of predictability in certain nonlinear problems should be studied for its impact on the field of numerical simulation in mechanics of nonlinear materials and structures.
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Salmon, John K., and Michael S. Warren. "Fast Parallel Tree Codes for Gravitational and Fluid Dynamical N-Body Problems." International Journal of Supercomputer Applications and High Performance Computing 8, no. 2 (June 1994): 129–42. http://dx.doi.org/10.1177/109434209400800205.

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Dissertations / Theses on the topic "Fluid dynamical problems"

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Zhen, Cui. "A study of three fluid dynamical problems." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/15119.

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In this thesis, three fluid dynamical problems are studied. First in chapter 2 we investigate, via both theoretical and experimental methods, the swimming motion of a magnetotactic bacterium having the shape of a prolate spheroid in a viscous liquid under the influence of an imposed magnetic field. The emphasis of the study is placed on how the shape of the non-spherical magnetotactic bacterium, marked by the size of its eccentricity, affects the pattern of its swimming motion. It is revealed that the pattern/speed of a swimming spheroidal magnetotactic bacterium is highly sensitive not only to the direction of its magnetic moment but also to its shape. Secondly, an important unanswered mathematical question in the theory of rotating fluids has been the completeness of the inviscid eigenfunctions which are usually referred to as inertial waves or inertial modes. In chapter 3 we provide for the first time a mathematical proof for the completeness of the inertial modes in a rotating annular channel by establishing the completeness relation, or Parseval’s equality, for any piecewise continuous, differentiable velocity of an incompressible fluid. Thirdly, in chapter 4 we investigate, through both asymptotic analysis and direct numerical simulation, precessionally driven flow of a homogeneous fluid confined in a fluid-filled circular cylinder that rotates rapidly about its symmetry axis and precesses about a different axis that is fixed in space. A particular emphasis is placed on the spherical-like cylinder whose diameter is nearly the same as its length. An asymptotic analytical solution in closed form is derived in the mantle frame of reference for describing weakly precessing flow in the spherical-like cylinder at asymptotically small Ekman numbers. We also construct a three-dimensional finite element model, which is checked against the asymptotic solution, in attempting to elucidate the structure of the nonlinear flow.
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Shaw, G. J. "Multigrid methods in fluid dynamics." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371582.

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Zhao, Kun. "Initial-boundary value problems in fluid dynamics modeling." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31778.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.
Committee Chair: Pan, Ronghua; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Gangbo, Wilfrid; Committee Member: Yeung, Pui-Kuen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Parolini, Nicola. "Computational fluid dynamics for naval engineering problems /." [S.l.] : [s.n.], 2004. http://library.epfl.ch/theses/?nr=3138.

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Park, Jungho. "Bifurcation and stability problems in fluid dynamics." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274924.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.
Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4529. Adviser: Shouhong Wang. Title from dissertation home page (viewed Apr. 22, 2008).
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Wright, Nigel George. "Multigrid solutions of elliptic fluid flow problems." Thesis, University of Leeds, 1988. http://etheses.whiterose.ac.uk/446/.

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An efficient FAS muldgrid solution strategy is presented for the accurate and economic simulation of convection dominated flows. The use of a high-order approximation to the convective transport terms found in the governing equations of motion has been investigated in conjunction with an unsegregated smoothing technique. Results are presented for a sequence of problems of increasing complexity requiring that careful attention be directed toward; the proper treatment of different types of boundary condition. The classical two-dimensional problem of flow in a lid-driven cavity is investigated in depth for flows at Reynolds numbers of 100,400 and 1000. This gives an extremely good indication of the power of a multigrid approach. Next, the solution methodology is applied to flow in a three-dimensional lid-driven cavity at different Reynolds numbers, with cross-reference being made to predictions obtained in the corresponding two-dimensional simulations, and to the flow over a step discontinuity in the case of an abruptly expanding channel. Although, at first sight, these problems appear to require only minor extensions to the existing approach, it is found that they are rather more idiosyncratic. Finally, the governing equations and numerical algorithm are extended to encompass the treatment of thermally driven flows. Ile solution to two such problems is presented and compared with corresponding results obtained by traditional methods.
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Noever, David Anthony. "Problems in gas dynamics and biological fluids." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.317799.

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Al-Wali, Azzam Ahmad. "Explicit alternating direction methods for problems in fluid dynamics." Thesis, Loughborough University, 1994. https://dspace.lboro.ac.uk/2134/6840.

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Recently an iterative method was formulated employing a new splitting strategy for the solution of tridiagonal systems of difference equations. The method was successful in solving the systems of equations arising from one dimensional initial boundary value problems, and a theoretical analysis for proving the convergence of the method for systems whose constituent matrices are positive definite was presented by Evans and Sahimi [22]. The method was known as the Alternating Group Explicit (AGE) method and is referred to as AGE-1D. The explicit nature of the method meant that its implementation on parallel machines can be very promising. The method was also extended to solve systems arising from two and three dimensional initial-boundary value problems, but the AGE-2D and AGE-3D algorithms proved to be too demanding in computational cost which largely reduces the advantages of its parallel nature. In this thesis, further theoretical analyses and experimental studies are pursued to establish the convergence and suitability of the AGE-1D method to a wider class of systems arising from univariate and multivariate differential equations with symmetric and non symmetric difference operators. Also the possibility of a Chebyshev acceleration of the AGE-1D algorithm is considered. For two and three dimensional problems it is proposed to couple the use of the AGE-1D algorithm with an ADI scheme or an ADI iterative method in what is called the Explicit Alternating Direction (EAD) method. It is then shown through experimental results that the EAD method retains the parallel features of the AGE method and moreover leads to savings of up to 83 % in the computational cost for solving some of the model problems. The thesis also includes applications of the AGE-1D algorithm and the EAD method to solve some problems of fluid dynamics such as the linearized Shallow Water equations, and the Navier Stokes' equations for the flow in an idealized one dimensional Planetary Boundary Layer. The thesis terminates with conclusions and suggestions for further work together with a comprehensive bibliography and an appendix containing some selected programs.
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Mora, Acosta Josue. "Numerical algorithms for three dimensional computational fluid dynamic problems." Doctoral thesis, Universitat Politècnica de Catalunya, 2001. http://hdl.handle.net/10803/6685.

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The target of this work is to contribute to the enhancement of numerical methods for the simulation of complex thermal systems. Frequently, the factor that limits the accuracy of the simulations is the computing power: accurate simulations of complex devices require fine three-dimensional discretizations and the solution of large linear equation systems.
Their efficient solution is one of the central aspects of this work. Low-cost parallel computers, for instance, PC clusters, are used to do so. The main bottle-neck of these computers is the notwork, that is too slow compared with their floating-point performance.
Before considering linear solution algorithms, an overview of the mathematical models used and discretization techniques in staggered cartesian and cylindrical meshes is provided.
The governing Navier-Stokes equations are solved using an implicit finite control volume method. Pressure-velocity coupling is solved with segregated approaches such as SIMPLEC.
Different algorithms for the solution of the linear equation systems are reviewed: from incomplete factorizations such as MSIP, Krylov solvers such as BICGSTAB and GMRESR to acceleration techniques such as the Algebraic Multi Grid and the Multi Resolution Analysis with wavelts. Special attention is paid to preconditioned Krylov solvers for their application to parallel CFD problems.
The fundamentals of parallel computing in distributed memory computers as well as implemetation details of these algorithms in combination with the domain decomposition method are given. Two different distributed memory computers, a Cray T3E and a PC cluster are used for several performance measures, including network throughput, performance of algebraic subroutines that affect to the overall efficiency of algorithms, and the solver performance. These measures are addressed to show the capabilities and drawbacks of parallel solvers for several processors and their partitioning configurations for a problem model.
Finally, in order to illustrate the potential of the different techniques presented, a three-dimensional CFD problem is solved using a PC cluster. The numerical results obtained are validated by comparison with other authors. The speedup up to 12 processors is measured. An analysis of the computing time shows that, as expected, most of the computational effort is due to the pressure-correction equation,here solved with BiCGSTAB. The computing time algorithm , for different problem sizes, is compared with Schur-Complement and Multigrid.
El trabajo de tesis se centra en la solución numérica de las ecuaciones de navier-Stokes en regimen transitorio, tridimensional y laminar. Los algoritmos utilizados son del tipo segregado (SIMPLEC)y se basan en el uso de técnicas de volumenes finitos, con mallas estructurales del tipo staggered y discretizaciones temporales implícitas. En este contexto, el pricipal, problema son los elevados tiempos de cálculo de las simulaciones, que en buena parte se deben a la solución de los sistemas de ecuaciones lineales. Se hace una revisión de diferentes métodos utilizados típicamente en ordenadores secuenciales: GMRES, BICGSTAB, ACM, MSPIP.
A fin de reducir los tiempos de cálculo se emplean ordenadores paralelos de memoria distribuida, basados en la agrupacion de ordenadores personales convencionales (PC clusters). Por lo que respecta a la potencia de cálculo por procesador, estos sistemas son comparables a los ordenadores paralelos de memoria distribuida convencionales (como el Cray T3E) siendo, su principal problema la baja capacidad de comunicación (elevada latencia, bajo ancho de banda). Este punto condiciona toda la estrategia computacional, obligando a reducir al máximo el número y el tamaño de los mensajes intercambiados. Este aspecto se cuantifica detalladamente en la tesis, realizando medidas de tiempos de cálculo en ambos ordenadores para diversas operaciones críticas para los algoritmos lineales. Tambien se miden y comparan los tiempos de cálculo y speed ups obtenidos en la solución de los sistemas lineales con diferentes algoritmos paralelos (Jacobi, MSIP, GMRES, BICGSTAB) y para diferentes tamaños de malla.
Finalmente, se utilizan las técnicas anteriores para resolver el caso denominado driven cavity, en situacionies tridimensionales y con numeros de Reynolds de hasta 8000. Los resultados obtenidos se utilizan para validar los códigos desarrollados, en base a resultados de otros códigos y también se basa en la comparación con resultados experimentales procedentes de la bibliografía. Se utilizan hasta 12 procesadores, obteniendose spped ups de hasta 9.7 en el cluster de PCs. Se analizan los tiempos de cálculo de cada fase del código, señalandose areas para futuras mejoras. Se comparan los tiempos de cálculo con los algoritmos implementados en otros trabajos. La conclusión final es que los clusters de PCs son una plataforma de gran potencia en los cálculos de dinámica de fluidos computacional.
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Fabritius, Björn. "Application of genetic algorithms to problems in computational fluid dynamics." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/15236.

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In this thesis a methodology is presented to optimise non–linear mathematical models in numerical engineering applications. The method is based on biological evolution and uses known concepts of genetic algorithms and evolutionary compu- tation. The working principle is explained in detail, the implementation is outlined and alternative approaches are mentioned. The optimisation is then tested on a series of benchmark cases to prove its validity. It is then applied to two different types of problems in computational engineering. The first application is the mathematical modeling of turbulence. An overview of existing turbulence models is followed by a series of tests of different models applied to various types of flows. In this thesis the optimisation method is used to find improved coefficient values for the k–ε, the k–ω-SST and the Spalart–Allmaras models. In a second application optimisation is used to improve the quality of a computational mesh automatically generated by a third party software tool. This generation can be controlled by a set of parameters, which are subject to the optimisation. The results obtained in this work show an improvement when compared to non–optimised results. While computationally expensive, the genetic optimisation method can still be used in engineering applications to tune predefined settings with the aim to produce results of higher quality. The implementation is modular and allows for further extensions and modifications for future applications.
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Books on the topic "Fluid dynamical problems"

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Sharpe, G. J. Solving problems in fluid dynamics. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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D, Whyman, ed. Problems in fluid flow. London: E. Arnold, 1986.

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Round, G. F. Applications of fluid dynamics. London: E. Arnold, 1986.

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Fluid mechanics: Problems and solutions. Berlin: Springer, 1997.

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Fluid mechanics. Berlin: Springer, 1997.

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F, Hughes William. Schaum'soutline of theory and problems of fluid dynamics. 2nd ed. New York: McGraw-Hill, 1991.

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Khoo, Boo Cheong, Zhilin Li, and Ping Lin, eds. Moving Interface Problems and Applications in Fluid Dynamics. Providence, Rhode Island: American Mathematical Society, 2008. http://dx.doi.org/10.1090/conm/466.

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F, Hughes William. Schaum's outline of theory and problems of fluid dynamics. 2nd ed. New York: McGraw-Hill, 1991.

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Chossat, Pascal. The Couette-Taylor problem. New York: Springer-Verlag, 1994.

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Dorfman, A. Sh. Conjugate problems in convective heat transfer. Boca Raton, FL: CRC Press, 2009.

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Book chapters on the topic "Fluid dynamical problems"

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Sørensen, Jens N., Martin O. L. Hansen, and Erik Jensen. "Simulation of fluid dynamical flow problems." In Parallel Scientific Computing, 458–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0030173.

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Wiggins, Stephen. "Convective Mixing and Transport Problems in Fluid Mechanics." In Chaotic Transport in Dynamical Systems, 81–120. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-3896-4_3.

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Lindenberg, Katja, Bruce J. West, and J. Kottalam. "Fluctuations and Dissipation in Problems of Geophysical Fluid Dynamics." In Irreversible Phenomena and Dynamical Systems Analysis in Geosciences, 145–56. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-4778-8_8.

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Akulenko, L. D., and S. V. Nesterov. "Oscillations of a Rigid Body with a Cavity Containing a Heterogeneous Fluid." In Dynamical Problems of Rigid-Elastic Systems and Structures, 1–5. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84458-4_1.

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Chernousko, F. L. "Asymptotic Analysis for Dynamics of Rigid Body Containing Elastic Elements and Viscous Fluid." In Dynamical Problems of Rigid-Elastic Systems and Structures, 55–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84458-4_7.

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Kamal, Ahmad A. "Fluid Dynamics." In 1000 Solved Problems in Classical Physics, 391–408. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11943-9_9.

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Friedman, Avner. "Interdisciplinary computational fluid dynamics." In Mathematics in Industrial Problems, 10–17. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1858-6_2.

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van Weert, Ch G. "Some problems in relativistic hydrodynamics." In Relativistic Fluid Dynamics, 290–300. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0084036.

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Quan, Pham Mau. "Problems Mathematiques En Hydrodynamique Relativiste." In Relativistic Fluid Dynamics, 1–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11099-3_1.

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Canuto, Claudio, M. Yousuff Hussaini, Alfio Quarteroni, and Thomas A. Zang. "Steady, Smooth Problems." In Spectral Methods in Fluid Dynamics, 375–414. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-84108-8_11.

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Conference papers on the topic "Fluid dynamical problems"

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Spakovszky, Zoltán S. "Instabilities Everywhere! Hard Problems in Aero-Engines." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-60864.

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Abstract Many of the challenges that limited aero-engine operation in the 1950s, 60s, 70s and 80s were static in nature: hot components exceeding temperature margins, stresses in the high-speed rotating structure approaching safety limits, and turbomachinery aerodynamic efficiencies missing performance goals. Modeling tools have greatly improved since and have helped enhance jet engine design, largely due to better computers and improved simulations of the fluid flow and supporting structure. The situation is thus different today, where important problems encountered past the design and development phases are dynamic in nature. These can jeopardize engine certification and lead to major delays and increased program cost. A real challenge is the characterization of damping and the related dynamic behavior of rotating and stationary components and assemblies, and of the fluid-structure interactions and coupling. The theme of this lecture is instability in the broadest sense. A number of problems of technological interest in aero-engines are discussed with focus on dynamical system modeling and identification of the underlying mechanisms. Future perspectives on outstanding seminal problems and grand challenges are also given.
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Artini, Gianluca, and Daniel Broc. "Fluid Structure Interaction Homogenization for Tube Bundles: Significant Dissipative Effects." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84344.

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In the nuclear industry, tube arrays immersed in dense fluid are often encountered. These systems have a large amount of tubes necessary to increase the thermal power exchanged and their dynamical analysis for safety assessment and in life operation is one of the major concern of the nuclear industry. The presence of the fluid creates a strong coupling between tubes which must be taken into account for complete dynamical analysis. However, the description of fluid’s effects on oscillating structures demands great numerical efforts, especially when the tube number increases making any direct numerical simulations impossible to achieve. In this framework, homogenization methods are a possible solution in order to deal with tube bundle Fluid-Structure Interaction (FSI) problems; in fact, it gives the possibility to analyze the dynamics of the global coupled system in large domain with reasonable degree of detail and faster simulations times. At the CEA of Saclay a method based on the linearized Euler equations has been developed. It was presented in a previous PVP conference and its main goal is to assess the effect of spatial deformations of the tube bundle displacement field on the dynamic behavior. In the present paper, after an analysis on the modeling of fluid force where dissipative effects are significant, a homogenized model based on the Navier-Stokes equations is introduced. Simulations in bi-dimensional configurations for different excitations are performed.
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Reddy, Sandeep B., Allan Ross Magee, Rajeev K. Jaiman, J. Liu, W. Xu, A. Choudhary, and A. A. Hussain. "Reduced Order Model for Unsteady Fluid Flows via Recurrent Neural Networks." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96543.

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Abstract In this paper, we present a data-driven approach to construct a reduced-order model (ROM) for the unsteady flow field and fluid-structure interaction. This proposed approach relies on (i) a projection of the high-dimensional data from the Navier-Stokes equations to a low-dimensional subspace using the proper orthogonal decomposition (POD) and (ii) integration of the low-dimensional model with the recurrent neural networks. For the hybrid ROM formulation, we consider long short term memory networks with encoder-decoder architecture, which is a special variant of recurrent neural networks. The mathematical structure of recurrent neural networks embodies a non-linear state space form of the underlying dynamical behavior. This particular attribute of an RNN makes it suitable for non-linear unsteady flow problems. In the proposed hybrid RNN method, the spatial and temporal features of the unsteady flow system are captured separately. Time-invariant modes obtained by low-order projection embodies the spatial features of the flow field, while the temporal behavior of the corresponding modal coefficients is learned via recurrent neural networks. The effectiveness of the proposed method is first demonstrated on a canonical problem of flow past a cylinder at low Reynolds number. With regard to a practical marine/offshore engineering demonstration, we have applied and examined the reliability of the proposed data-driven framework for the predictions of vortex-induced vibrations of a flexible offshore riser at high Reynolds number.
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Polly, James B., and J. M. McDonough. "Application of the Poor Man’s Navier–Stokes Equations to Real-Time Control of Fluid Flow." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63564.

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Control of fluid flow is an important, and quite underutilized process possessing significant potential benefits ranging from avoidance of separation and stall on aircraft wings and reduction of friction factors in oil and gas pipelines to mitigation of noise from wind turbines. But the Navier–Stokes (N.–S.) equations governing fluid flow consist of a system of time-dependent, multi-dimensional, non-linear partial differential equations (PDEs) which cannot be solved in real time using current, or near-term foreseeable, computing hardware. The poor man’s Navier–Stokes (PMNS) equations comprise a discrete dynamical system that is algebraic—hence, easily (and rapidly) solved—and yet which retains many (possibly all) of the temporal behaviors of the full (PDE) N.–S. system at specific spatial locations. In this paper we outline derivation of these equations and present a short discussion of their basic properties. We then consider application of these equations to the problem of control by adding a control force. We examine the range of PMNS equation behaviors that can be achieved by changing values of this control force, and, in particular, consider controllability of this (non-linear) system via numerical experiments. Moreover, we observe that the derivation leading to the PMNS equations is very general, and, at least in principle, it can be applied to a wide variety of problems governed by PDEs and (possibly) time-delay ordinary differential equations such as, for example, models of machining processes.
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Kheiri, M., M. P. Pai¨doussis, and M. Amabili. "On the Feasibility of Using Linear Fluid Dynamics in an Overall Nonlinear Model for the Dynamics of Cantilevered Cylinders in Axial Flow." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30082.

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A curiosity-driven study is presented here which introduces and tests an analytical model to be employed for describing the dynamics of cantilevered cylinders in axial flow. This model is called “hybrid” because it encompasses linear fluid dynamics and nonlinear structural dynamics. Also, both the linear and fully nonlinear models are recalled here. For all these models Galerkin’s method is used to discretize the nondimensional equation of motion. For the hybrid and nonlinear models a numerical method based on Houbolt’s Finite Difference Method (FDM) is used to solve the discretized equations, as well as AUTO, which is a software used to solve continuation and bifurcation problems for differential equations. The capability of the hybrid model to predict the dynamical behaviour of cantilevered cylinders in axial flow is assessed by examining three different sets of parameters. Here, the main focus is put on the onset of instabilities and the amplitude of the predicted motion. According to the results given in the form of bifurcation diagrams and several tabulated numerical values, the hybrid model is proved to be unacceptable although it can predict the onset of first instability, and even the onset of post-divergence instability in some cases.
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Kowshik, Suhas A., Sumukha Shridhar, and N. C. W. Treleaven. "Towards Reduced Order Models of Small-Scale Acoustically Significant Components in Gas Turbine Combustion Chambers." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59601.

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Abstract Gas turbine combustion chambers contain numerous small-scale features that help to dampen acoustic waves and alter the acoustic mode shapes. This damping helps to alleviate problems such as thermoacoustic instabilities. During computational fluid dynamics simulations (CFD) of combustion chambers, these small-scale features are often neglected as the corresponding increase in the mesh cell count augments significantly the cost of simulation while the small physical size of these cells can present problems for the stability of the solver. In problems where acoustics are prevalent and critical to the validity of the simulation, the neglected small-scale features and the associated reduction in overall acoustic damping can cause problems with spurious, non-physical noise and prevents accurate simulation of transients and limit cycle oscillations. Low-order dynamical systems (LODS) and artificial neural networks (ANNs) are proposed and tested in their ability to represent a simple two-dimensional acoustically forced simulation of an orifice at multiple frequencies. These models were built using compressible CFD, using OpenFOAM, of an orifice placed between two ducts. The acoustic impedance of the orifice has been computed using the multi-microphone method and compared to a commonly used analytical model. Following this, the flow field downstream of the orifice has been modelled using both a LODS and ANN model. Both methods have shown the ability to closely represent the simulated dynamical flows at much lower computational cost than the original CFD simulation. This work opens the possibility of models that can dynamically predict the flow through, for instance, acoustic liners, dilution ports and fuel injectors in real engines during thermoacoustic instabilities without having to mesh and simulate these small-scale features directly. Such models may also assist in the accurate simulation of flame quenching due to cooling flows or the design of effusion cooled aerodynamic surfaces such as nozzle guide vanes (NGVs) and turbine blades.
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Vanharen, Julien, Rémi Feuillet, and Frederic Alauzet. "Mesh adaptation for fluid-structure interaction problems." In 2018 Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-3244.

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Park, Chul, and Michael Tauber. "Heatshielding problems of planetary entry - A review." In 30th Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-3415.

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Darrall, Bradley T., and Gary F. Dargush. "Mixed Convolved Action Principles for Dynamics of Linear Poroelastic Continua." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52728.

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Although Lagrangian and Hamiltonian analytical mechanics represent perhaps the most remarkable expressions of the dynamics of a mechanical system, these approaches also come with limitations. In particular, there is inherent difficulty to represent dissipative processes and the restrictions placed on end point variations are not consistent with the definition of initial value problems. The present work on poroelastic media extends the recent formulation of a mixed convolved action to address a continuum dynamical problem with dissipation through the development of a new variational approach. The action in this proposed approach is formed by replacing the inner product in Hamilton’s principle with a time convolution. As a result, dissipative processes can be represented in a natural way and the required constraints on the variations are consistent with the actual initial and boundary conditions of the problem. The variational formulations developed here employ temporal impulses of velocity, effective stress, pore pressure and pore fluid mass flux as primary variables in this mixed approach, which also uses convolution operators and fractional calculus to achieve the desired characteristics. The resulting mixed convolved action is formulated in both the time and frequency domains to develop two new stationary principles for dynamic poroelasticity. In addition, the first variation of the action provides a temporally well-balanced weak form that leads to a new family of finite element methods in time, as well as space.
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Nishikawa, Hiroaki, and Yi Liu. "Third-Order Edge-Based Scheme for Unsteady Problems." In 2018 Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-4166.

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Reports on the topic "Fluid dynamical problems"

1

Chou, So-Hsiang. Computational Methods for Problems in Fluid Dynamics. Fort Belvoir, VA: Defense Technical Information Center, February 1989. http://dx.doi.org/10.21236/ada221946.

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Ablowitz, Mark J., Gregory Beylkin, and Duane P. Sather. Nonlinear Problems in Fluid Dynamics and Inverse Scattering. Fort Belvoir, VA: Defense Technical Information Center, May 1993. http://dx.doi.org/10.21236/ada266234.

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Beylkin, Gregory. Nonlinear Problems in Fluid Dynamics and Inverse Scattering. Propagation and Capturing of Singularities in Problems of Fluid Dynamics and Inverse Scattering. Fort Belvoir, VA: Defense Technical Information Center, July 1994. http://dx.doi.org/10.21236/ada282873.

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Beylkin, Gregory. Nonlinear Problems in Fluid Dynamics and Inverse Scattering: Propagation and capturing of singularities in problems of fluid dynamics and inverse scattering. Fort Belvoir, VA: Defense Technical Information Center, December 1994. http://dx.doi.org/10.21236/ada289146.

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Beylkin, Gregory. Nonlinear Problems in Fluid Dynamics and Inverse Scattering: Propagation and Capturing of Singularities in Problems of Fluid Dynamics and Inverse Scattering. Fort Belvoir, VA: Defense Technical Information Center, May 1996. http://dx.doi.org/10.21236/ada327352.

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Abarbanel, H., K. Case, A. Despain, F. Dyson, and M. Freeman. Cellular Automata and Parallel Processing for Practical Fluid-Dynamics Problems. Fort Belvoir, VA: Defense Technical Information Center, September 1990. http://dx.doi.org/10.21236/ada229234.

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Saunders, Bonita V. The application of numerical grid generation to problems in computational fluid dynamics. Gaithersburg, MD: National Institute of Standards and Technology, 1997. http://dx.doi.org/10.6028/nist.ir.6073.

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Richard W. Johnson and Richard R. Schultz. Computational Fluid Dynamic Analysis of the VHTR Lower Plenum Standard Problem. Office of Scientific and Technical Information (OSTI), July 2009. http://dx.doi.org/10.2172/963762.

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Xia, Yidong, David Andrs, and Richard Charles Martineau. BIGHORN Computational Fluid Dynamics Theory, Methodology, and Code Verification & Validation Benchmark Problems. Office of Scientific and Technical Information (OSTI), August 2016. http://dx.doi.org/10.2172/1364471.

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Ablowitz, Mark J. Nonlinear Problems in Fluid Dynamics and Inverse Scattering: Nonlinear Waves and Inverse Scattering. Fort Belvoir, VA: Defense Technical Information Center, December 1994. http://dx.doi.org/10.21236/ada289148.

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