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Books on the topic 'Flow geometries'

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Published: 4 June 2021
Last updated: 18 February 2022

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1

Yan, Jing. Simulation of non-Newtonian flow in complex geometries. Manchester: UMIST, 1997.

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2

Rhode, D. L. Predictions and measurements of isothermal flowfields in axisymmetric combustor geometries. [Washington, D.C.]: National Aeronautics and Space Administration, 1985.

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3

Ballyk, Peter D. Numerical modeling of non-Newtonian blood flow in physiological geometries. Ottawa: National Library of Canada = Bibliothèque nationale du Canada, 1993.

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4

Caughey, D. A. Multigrid methods for aerodynamic problems in complex geometries: Final report. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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5

Brink, Coen E. ten. Development of porphyroclast geometries during non-coaxial flow: An experimental and analytical investigation. [Utrecht: Faculteit Aardwetenschappen, Universiteit Utrecht], 1996.

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6

Rock, Ross Charles Kolkka. A numerical investigation of turbulent interchange mixing of axial coolant flow in rod bundle geometries. Ottawa: National Library of Canada, 1998.

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7

Boyle, Robert J. Heat transfer predictions for two turbine nozzle geometries at high Reynolds and Mach numbers. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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8

Boyle, Robert J. Heat transfer predictions for two turbine nozzle geometries at high Reynolds and Mach numbers. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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9

Rosemann, Henning. Einfluss der Geometrie von Mehrfach-Hitzdrahtsonden auf die Messergebnisse in turbulenten Stromungen. Koln: DLR, 1989.

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10

Trapp, Jens. Parametrisches Geometrie-Design fur die Aerodynamik. Göttingen: [Deutsches Zentrum für Luft- und Raumfahrt], 1999.

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11

Christopher, Hopper, and SpringerLink (Online service), eds. The Ricci flow in Riemannian geometry: A complete proof of the differentiable 1/4-pinching sphere theorem. Berlin: Springer Verlag, 2011.

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12

Steger, Joseph L. Implicit finite difference simulation of flow about arbitrary geometrics with application to airfoils. New York: AIAA, 1987.

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13

author, Tian Gang 1958, ed. The geometrization conjecture. Providence, Rhode Island: American Mathematical Society, 2014.

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14

The Poincaré conjecture: Clay Research Conference, resolution of the Poincaré conjecture, Institute Henri Poincaré, Paris, France, June 8-9, 2010. Providence, RI: American Mathematical Society, 2014.

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15

Wentworth, Richard A., Duong H. Phong, Paul M. N. Feehan, Jian Song, and Ben Weinkove. Analysis, complex geometry, and mathematical physics: In honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York. Providence, Rhode Island: American Mathematical Society, 2015.

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16

Moore, Jennifer Anne. Computational blood flow modelling in realistic arterial geometries. 1998.

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17

Havard, Stephen Paul. Numerical simulation of non-Newtonian fluid flow in mixing geometries. 1989.

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18

A, Povinelli Louis, Liou M. S, and United States. National Aeronautics and Space Administration., eds. Development of an explicit multiblock/multigrid flow solver for viscous flows in complex geometries. [Washington, DC: National Aeronautics and Space Administration, 1993.

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19

Prakash, Sujata. Adaptive mesh refinement for finite element flow modeling in complex geometries. 1999.

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20

United States. National Aeronautics and Space Administration., ed. Rapid prediction of unsteady three-dimensional viscous flows in turbopump geometries: Progress report 2. [Washington, DC: National Aeronautics and Space Administration, 1998.

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21

A, Ameri Ali, and Lewis Research Center. Institute for Computational Mechanics in Propulsion., eds. Computations of viscous flows in complex geometries using multiblock grid systems. Cleveland, Ohio: National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1995.

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22

United States. National Aeronautics and Space Administration., ed. Numerical prediction of turbulent oscillating flow and heat transfer in pipes with various end geometries. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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23

United States. National Aeronautics and Space Administration., ed. A method for flow simulation about complex geometries using both structured and unstructured grids. [Washington, DC]: National Aeronautics and Space Administration, 1994.

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24

Spencer, Gregory Fielder. Nuclear magnetism and flow in normal and superfluid 3He at low pressures in confined geometries. 1986.

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25

Succi, Sauro. Flows at Moderate Reynolds Numbers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0018.

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This chapter presents the application of LBE to flows at moderate Reynolds numbers, typically hundreds to thousands. This is an important area of theoretical and applied fluid mechanics, one that relates, for instance, to the onset of nonlinear instabilities and their effects on the transport properties of the unsteady flow configuration. The regime of Reynolds numbers at which these instabilities take place is usually not very high, of the order of thousands, hence basically within reach of present day computer capabilities. Nonetheless, following the full evolution of these transitional flows requires very long-time integrations with short time-steps, which command substantial computational power. Therefore, efficient numerical methods are in great demand. Also of major interest are steady-state or pulsatile flows at moderate Reynolds numbers in complex geometries, such as they occur, for instance, in hemodynamic applications. The application of LBE to such flows will also briefly be mentioned
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26

Bauser, M., G. Sauer, and K. Siegert, eds. Extrusion. Translated by A. F. Castle. 2nd ed. ASM International, 2006. http://dx.doi.org/10.31399/asm.tb.ex2.9781627083423.

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Extrusion, Second Edition provides a complete and thorough overview of the processes, equipment, and tooling used to extrude metals into desired shapes and forms. It covers all types of processes, including direct, indirect, and hydrostatic extrusion, cable sheathing, continuous extrusion, and the extrusion of powder metals. It describes each process in detail, explaining how the associated forces, stresses, displacements, and heat cause metals to deform and flow and how it affects the microstructure and properties of the resulting products. It discusses the design, setup, and control of extrusion equipment, the use of lubricants and shells, the effect of tooling materials and geometries, and the practical implications of material flow, friction, discard length, and exit temperature. It describes the deformation and extrusion behaviors of many materials, the product forms into which they can be made, and related processing requirements. The book also provides detailed application examples, an introduction to quality management, a review of the basics of metallurgy, and experimentally measured extrusion data. For information on the print version, ISBN 978-0-87170-837-3, follow this link.
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27

Hopper, Christopher, and Ben Andrews. The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer, 2011.

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28

P, Chen C., and United States. National Aeronautics and Space Administration., eds. A computer code for multiphase all-speed transient flows in complex geometries. [Washington, DC: National Aeronautics and Space Administration, 1991.

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29

Succi, Sauro. LBE Flows in Disordered Media. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0019.

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The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.
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30

The implementation of a finite difference method for predicting incompressible flows in complex geometries. Harwell, Oxfordshire: Harwell Laboratory, 1987.

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31

Clarke, D. S., and N. S. Wilkes. The Calculation of Turbulent Flows in Complex Geometries Using a Differential Stress Model (Reports). AEA Technology Plc, 1989.

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32

Clarke, D. S., and N. S. Wilkes. The Calculation of Turbulent Flows in Complex Geometries Using an Algebraic Stress Model (Reports). AEA Technology Plc, 1988.

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33

Wilkes, N. S., and A. D. Burns. A Finite Difference Method for the Computation of Fluid Flows in Complex 3 Dimensional Geometries. AEA Technology Plc, 1987.

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34

C, Canuto, ed. Spectral methods: Evolution to complex geometries and applications to fluid dynamics. Berlin: Springer, 2007.

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35

Succi, Sauro. Boundary Conditions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0017.

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The actual dynamics of fluid flows is highly dependent on the surrounding environment, whose influence is mathematically described through the prescription of suitable boundary conditions. Boundary conditions play a crucial role, as they select solutions which are compatible with external constraints. Accounting for these constraints may be comparatively simple for idealized geometries but for general ones it represents a delicate (and sometimes nerve-probing!) task. In fact, the treatment of the boundary conditions often makes the difference in the quality of fluid dynamic simulations. This chapter illustrates the most common ways to impose boundary conditions to LB flows. The subject is very technical and has grown considerably for the past decade, which means that this chapter can only serve as a guiding introduction to the vast and still growing original literature.
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36

Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.
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37

Vásquez, Manuel A., and David Garbin. Globalization. Edited by Michael Stausberg and Steven Engler. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198729570.013.46.

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This chapter explores the key factors involved in the interaction between religion and globalization. It highlights the roles played by transnational networks, fields, and regimes, as well as migrant and religious diasporas, mass culture, and electronic media in the global circulation and appropriation of religious practices, beliefs, symbols, artifacts, and identities. Using the examples of religious networks associated with Islam, Hinduism, and Christianities, the chapter also argues that while the economic dimensions of religion in a context of globalization are central, the dynamics of global religious fields cannot be reduced to those of the world capitalist system. Religious flows and networks are multi-directional. There is thus a need to develop interdisciplinary and multi-sited approaches to these flows and networks, examining the ways in which they challenge fixed center–periphery models and produce alternative power/geometries shaping religious identities, cultures, and embodied as well as spatialized ontologies.
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38

Hussaini, M. Y., A. Quarteroni, T. A. Zang, and C. G. Canuto. Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation). Springer, 2007.

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39

Nolte, David D. Introduction to Modern Dynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198844624.001.0001.

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Introduction to Modern Dynamics: Chaos, Networks, Space and Time (2nd Edition) combines the topics of modern dynamics—chaos theory, dynamics on complex networks and the geometry of dynamical spaces—into a coherent framework. This text is divided into four parts: Geometric Mechanics, Nonlinear Dynamics, Complex Systems, and Relativity. These topics share a common and simple mathematical language that helps students gain a unified physical intuition. Geometric mechanics lays the foundation and sets the tone for the rest of the book by emphasizing dynamical spaces, like state space and phase space, whose geometric properties define the set of all trajectories through those spaces. The section on nonlinear dynamics has chapters on chaos theory, synchronization, and networks. Chaos theory provides the language and tools to understand nonlinear systems, introducing fixed points that are classified through stability analysis and nullclines that shepherd system trajectories. Synchronization and networks are central paradigms in this book because they demonstrate how collective behavior emerges from the interactions of many individual nonlinear elements. The section on complex systems contains chapters on neural dynamics, evolutionary dynamics, and economic dynamics. The final section contains chapters on metric spaces and the special and general theories of relativity. In the second edition, sections on conventional topics, like applications of Lagrangians, have been strengthened, as well as being updated to provide a modern perspective. Several of the introductory chapters have been rearranged for improved logical flow and there are expanded homework problems at the end of each chapter.
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40

Succi, Sauro. Out of Legoland: Geoflexible Lattice Boltzmann Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0023.

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The LBEs discussed to this point lag behind “best in class” Computational Fluid Dynamics (CFD) methods for the simulation of fluid flows in realistically complicated geometries, such as those presented by most industrial devices. This traces back to the constraint of working along the light-cones of a uniform spacetime. Various methods have been proposed to remedy this unsatisfactory state of affairs. Among others, a natural strategy is to acquire geometrical flexibility from well-established techniques which can afford it, namely Finite Volumes (FV), Finite Differences (FD) and Finite Elements (FE). Alternatively, one can stick to the cartesian geometry of standard LB, and work at progressive levels of local grid refinement. This Chapter presents the general ideas being both strategies.
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41

Jansson, André, and Paul C. Adams, eds. Disentangling. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197571873.001.0001.

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After the rapid rise of digital networking in the 2000s and 2010s, we are now seeing a rise of interest in how people can disentangle their lives from the increasingly pervasive networks of digital communications. This edited volume contributes to the turn toward digital disconnection research by bringing together an interdisciplinary group of authors with expertise in various forms and philosophies of disentangling. By “disentangling” we mean disconnection not just from media but from a digitalized world, a world in which places and landscapes are increasingly structured around digital connectivity. People increasingly look for strategies that will let them reject, avoid, and rework the pervasive media demanding they remain connected at all times. How might we facilitate autonomy from tendrils of digital surveillance, revalue places over dematerialized flows, and unravel digital dependency? Who gets to disconnect and who does not? How do natural cycles such as sleep and death relate to disentangling? Can we clarify the means and objectives of “digital detox”? Can we map the failures, glitches, contradictions, and paradoxes that plague digital connectivity? What does our willing and unwilling entanglement in digital networks say with regard to social resilience and cultural resistance? The book’s three sections start with questions about ethics and justice associated with the power geometries of digital (dis)connection, then move on to consider digitally entangled lives and afterlives, and conclude with a look at the ambiguities of (dis)connection in time-spaces of the COVID-19 pandemic.
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