Relativistic Numerical Hydrodynamics

Author : James R. Wilson,Grant J. Mathews
Publisher : Cambridge University Press
Page : 234 pages
File Size : 43,9 Mb
Release : 2003-11-06
Category : Science
ISBN : 0521631556

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Relativistic Numerical Hydrodynamics by James R. Wilson,Grant J. Mathews Pdf

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.

Author : Luciano Rezzolla,Olindo Zanotti
Publisher : OUP Oxford
Page : 744 pages
File Size : 44,6 Mb
Release : 2013-09-26
Category : Science
ISBN : 9780191509919

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Relativistic Hydrodynamics by Luciano Rezzolla,Olindo Zanotti Pdf

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.

Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 40,6 Mb
Release : 2009-07-24
Category : Science
ISBN : 9783642011634

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Elements of Numerical Relativity and Relativistic Hydrodynamics by Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas Pdf

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.

Author : Luciano Rezzolla,Olindo Zanotti
Publisher : Oxford University Press
Page : 752 pages
File Size : 40,9 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780198528906

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Relativistic Hydrodynamics by Luciano Rezzolla,Olindo Zanotti Pdf

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.

Author : Carles Bona,Carlos Palenzuela-Luque
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 47,5 Mb
Release : 2005-07-07
Category : Science
ISBN : 3540257799

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Elements of Numerical Relativity by Carles Bona,Carlos Palenzuela-Luque Pdf

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.

Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer
Page : 214 pages
File Size : 41,6 Mb
Release : 2009-07-14
Category : Science
ISBN : 9783642011641

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Elements of Numerical Relativity and Relativistic Hydrodynamics by Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas Pdf

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.

Author : James R. Wilson,Grant J. Mathews
Publisher : Cambridge University Press
Page : 236 pages
File Size : 52,9 Mb
Release : 2003-11-06
Category : Science
ISBN : 9780521631556

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Relativistic Numerical Hydrodynamics by James R. Wilson,Grant J. Mathews Pdf

Table of contents

Author : Paul Romatschke,Ulrike Romatschke
Publisher : Cambridge University Press
Page : 207 pages
File Size : 54,7 Mb
Release : 2019-05-09
Category : Science
ISBN : 9781108483681

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Relativistic Fluid Dynamics in and out of Equilibrium by Paul Romatschke,Ulrike Romatschke Pdf

Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 48,8 Mb
Release : 2010-06-24
Category : Science
ISBN : 9780521514071

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Numerical Relativity by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.

Author : Miguel Alcubierre
Publisher : OUP Oxford
Page : 464 pages
File Size : 52,8 Mb
Release : 2008-04-10
Category : Science
ISBN : 9780191548291

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Introduction to 3+1 Numerical Relativity by Miguel Alcubierre Pdf

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.

Author : A. H. Taub
Publisher : Unknown
Page : 24 pages
File Size : 52,5 Mb
Release : 1959
Category : Hydrodynamics
ISBN : MINN:31951D03527628B

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Relativistic Hydrodynamics by A. H. Taub Pdf

Today we have Professor Taub from the University of Illinois. He is Research Professor at the Illinois Computing Laboratory. This has nothing to do with the talk but I think it would be nice if he would give us about a five-minute rundown on what the Computing Laboratory does. We are all interested in that sort of thing. The actual talk is going to be on relativistic hydrodynamics. Professor Taub To begin with a description of the Digital Computer Laboratory at the University of Illinois, I can tell you a little about its history and some of its plans and what it is going to do. The Digital Computer Laboratory started in about 1948. At that time the acquisition of computers was a little different than it is now. The laboratory then was very much interested in the field of computer development, computer use, and development of mathematical methods for using computers efficiently, and felt that these purposes could best be achieved if a high-speed computer were available.

Author : Gregory V. Vereshchagin,Alexey G. Aksenov
Publisher : Cambridge University Press
Page : 343 pages
File Size : 53,7 Mb
Release : 2017-02-16
Category : Science
ISBN : 9781107048225

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Relativistic Kinetic Theory by Gregory V. Vereshchagin,Alexey G. Aksenov Pdf

This book presents fundamentals, equations, and methods of solutions of relativistic kinetic theory, with applications in astrophysics and cosmology.

Author : André Lichnerowicz
Publisher : Unknown
Page : 216 pages
File Size : 48,5 Mb
Release : 1967
Category : Fluid dynamics
ISBN : STANFORD:36105030691609

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Relativistic Hydrodynamics and Magnetohydrodynamics by André Lichnerowicz Pdf

Author : John L. Friedman,Nikolaos Stergioulas
Publisher : Cambridge University Press
Page : 435 pages
File Size : 40,9 Mb
Release : 2013-02-11
Category : Science
ISBN : 9781107310605

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Rotating Relativistic Stars by John L. Friedman,Nikolaos Stergioulas Pdf

The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.

Author : Michael Tsamparlis
Publisher : Springer Science & Business Media
Page : 605 pages
File Size : 41,8 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642038372

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Special Relativity by Michael Tsamparlis Pdf

Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.