Relativistic Hydrodynamics
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Relativistic Hydrodynamics
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Author : Luciano Rezzolla
language : en
Publisher: OUP Oxford
Release Date : 2013-09-26
Relativistic Hydrodynamics written by Luciano Rezzolla and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Science categories.
Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.
Relativistic Hydrodynamics
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Author : Luciano Rezzolla
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-09-26
Relativistic Hydrodynamics written by Luciano Rezzolla and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
This book provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field.
Relativistic Numerical Hydrodynamics
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Author : James R. Wilson
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-06
Relativistic Numerical Hydrodynamics written by James R. Wilson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-06 with Science categories.
Table of contents
Elements Of Numerical Relativity And Relativistic Hydrodynamics
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Author : Carles Bona
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24
Elements Of Numerical Relativity And Relativistic Hydrodynamics written by Carles Bona and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-24 with Science categories.
Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.
Computational Fluid Dynamics
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Author : T. J. Chung
language : en
Publisher: Cambridge University Press
Release Date : 2002-02-07
Computational Fluid Dynamics written by T. J. Chung and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-07 with Juvenile Nonfiction categories.
Increasingly, computational fluid dynamics (CFD) techniques are being used to study and solve complex fluid flow and heat transfer problems. This comprehensive book ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner. It begins with CFD preliminaries, in which the basic principles of finite difference (FD), finite element (FE), and finite volume (FV) methods are discussed and illustrated through examples, with step-by-step hand calculations. Then, FD and FE methods respectively are covered, including both historical developments and recent contributions. The next section is devoted to structured and unstructured grids, adaptive methods, computing techniques, and parallel processing. Finally, the author describes a variety of practical applications to problems in turbulence, reacting flows and combustion, acoustics, combined mode radiative heat transfer, multiphase flows, electromagnetic fields, and relativistic astrophysical flows. Students and practitioners - particularly in mechanical, aerospace, chemical, and civil engineering - will use this authoritative text to learn about and apply numerical techniques to the solution of fluid dynamics problems.
Current Trends In Relativistic Astrophysics
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Author : Leonardo Fernández-Jambrina
language : en
Publisher: Springer
Release Date : 2008-01-11
Current Trends In Relativistic Astrophysics written by Leonardo Fernández-Jambrina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
The present volume contains the expanded lectures of a meeting on relativistic astrophysics, the goal of which was to provide a modern introduction to specific aspects of the field for young researchers, as well as for nonspecialists from related areas. Particular emphasis is placed on the theory of black holes and evolution, relativistic stars and jet hydrodynamics, as well as the production and detection of gravitational waves. The book is complemented by further contributions and animation supplied on the accompanying CD-ROM.
Numerical Relativity
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24
Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Science categories.
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
3 1 Formalism In General Relativity
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Author : Éric Gourgoulhon
language : en
Publisher: Springer
Release Date : 2012-02-27
3 1 Formalism In General Relativity written by Éric Gourgoulhon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-27 with Science categories.
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
Relativistic Hydrodynamics And Magnetohydrodynamics
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Author : André Lichnerowicz
language : en
Publisher:
Release Date : 1967
Relativistic Hydrodynamics And Magnetohydrodynamics written by André Lichnerowicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Fluid dynamics categories.
Phenomenology Of Ultra Relativistic Heavy Ion Collisions
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Author :
language : en
Publisher: World Scientific
Release Date : 2010
Phenomenology Of Ultra Relativistic Heavy Ion Collisions written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Heavy ion collisions categories.
An introduction to the main ideas used in the physics of ultra-realistic heavy-ion collisions, this book covers topics such as hot and dense matter and the formation of the quark-gluon plasma in present and future heavy-ion experiments