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Relativistic Numerical Hydrodynamics
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Book Synopsis Relativistic Hydrodynamics by : Luciano Rezzolla
Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Numerical Relativity and Relativistic Hydrodynamics by : Carles Bona
Download or read book Elements of Numerical Relativity and Relativistic Hydrodynamics written by Carles Bona and published by Springer Science & Business Media. This book was released on 2009-07-24 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Numerical Relativity by : Carles Bona
Download or read book Elements of Numerical Relativity written by Carles Bona and published by Springer Science & Business Media. This book was released on 2005-07-07 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Book Synopsis Relativistic Numerical Hydrodynamics by : James R. Wilson
Download or read book Relativistic Numerical Hydrodynamics written by James R. Wilson and published by Cambridge University Press. This book was released on 2003-11-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculations of relativistic hydrodynamics are crucial to several areas of current research in the physics of supernovae and stellar collapse. This book provides an overview of the computational framework in which such calculations have been developed, with examples of applications to real physical systems. Beginning with the development of the equations and differencing schemes for special relativistic hydrodynamics, the book stresses the viability of the Euler-Lagrange approach to most astrophysical problems. It details aspects of solving the Einstein equations together with the fluid dynamics for various astrophysical systems in one, two and three dimensions.
Book Synopsis Relativistic Fluid Dynamics In and Out of Equilibrium by : Paul Romatschke
Download or read book Relativistic Fluid Dynamics In and Out of Equilibrium written by Paul Romatschke and published by Cambridge University Press. This book was released on 2019-05-09 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen unprecedented developments in the understanding of relativistic fluid dynamics in and out of equilibrium, with connections to astrophysics, cosmology, string theory, quantum information, nuclear physics and condensed matter physics. Romatschke and Romatschke offer a powerful new framework for fluid dynamics, exploring its connections to kinetic theory, gauge/gravity duality and thermal quantum field theory. Numerical algorithms to solve the equations of motion of relativistic dissipative fluid dynamics as well as applications to various systems are discussed. In particular, the book contains a comprehensive review of the theory background necessary to apply fluid dynamics to simulate relativistic nuclear collisions, including comparisons of fluid simulation results to experimental data for relativistic lead-lead, proton-lead and proton-proton collisions at the Large Hadron Collider (LHC). The book is an excellent resource for students and researchers working in nuclear physics, astrophysics, cosmology, quantum many-body systems and string theory.
Book Synopsis Introduction to 3+1 Numerical Relativity by : Miguel Alcubierre
Download or read book Introduction to 3+1 Numerical Relativity written by Miguel Alcubierre and published by OUP Oxford. This book was released on 2008-04-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.
Book Synopsis Numerical Relativity by : Thomas W. Baumgarte
Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.
Book Synopsis Relativistic Kinetic Theory by : Gregory V. Vereshchagin
Download or read book Relativistic Kinetic Theory written by Gregory V. Vereshchagin and published by Cambridge University Press. This book was released on 2017-02-16 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents fundamentals, equations, and methods of solutions of relativistic kinetic theory, with applications in astrophysics and cosmology.
Book Synopsis Relativistic Hydrodynamics and Magnetohydrodynamics by : André Lichnerowicz
Download or read book Relativistic Hydrodynamics and Magnetohydrodynamics written by André Lichnerowicz and published by . This book was released on 1967 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 3+1 Formalism in General Relativity by : Éric Gourgoulhon
Download or read book 3+1 Formalism in General Relativity written by Éric Gourgoulhon and published by Springer. This book was released on 2012-02-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Relativistic Astrophysics of the Transient Universe by : Maurice H. P. M. Van Putten
Download or read book Relativistic Astrophysics of the Transient Universe written by Maurice H. P. M. Van Putten and published by Cambridge University Press. This book was released on 2012-07-05 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified treatment of electromagnetic, hadronic and gravitational radiation processes associated with relativistic outflows from compact objects is ideal for researchers interested in the transient universe. It examines relativistic outflows and radiation processes and links contemporary astronomy to gravitational-wave experiments.
Book Synopsis Relativistic Fluids and Magneto-fluids by : Angelo Marcello Anile
Download or read book Relativistic Fluids and Magneto-fluids written by Angelo Marcello Anile and published by Cambridge University Press. This book was released on 1989 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly acclaimed series of monographs provides introductory accounts of specialized topics in mathematical physics for graduate students and research workers. The monographs in this series are of outstanding scholarship and written by those at the very frontiers of research. Subject areas covered include cosmology, astrophysics, relativity theory, particle physics, quantum theory, nuclear physics, statistical mechanics, condensed matter physics, plasma physics and the theory of chaos.
Book Synopsis Relativistic Hydrodynamics by : A. H. Taub
Download or read book Relativistic Hydrodynamics written by A. H. Taub and published by . This book was released on 1959 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Radiation Hydrodynamics by : John I. Castor
Download or read book Radiation Hydrodynamics written by John I. Castor and published by Cambridge University Press. This book was released on 2004-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Frontiers in Numerical Relativity by : Charles R. Evans
Download or read book Frontiers in Numerical Relativity written by Charles R. Evans and published by Cambridge University Press. This book was released on 1989-04-13 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
Book Synopsis Foundations of Radiation Hydrodynamics by : Dimitri Mihalas
Download or read book Foundations of Radiation Hydrodynamics written by Dimitri Mihalas and published by Courier Corporation. This book was released on 2013-04-10 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent, informative volume focuses on dynamics of nonradiating fluids, problems involving waves, shocks and stellar winds, physics of radiation, radiation transport, and the dynamics of radiating fluids. 1984 edition.
Book Synopsis Introduction To Relativistic Statistical Mechanics: Classical And Quantum by : Remi Joel Hakim
Download or read book Introduction To Relativistic Statistical Mechanics: Classical And Quantum written by Remi Joel Hakim and published by World Scientific. This book was released on 2011-03-28 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
