Relativistic Numerical Hydrodynamics

Author : Luciano Rezzolla
Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 744 pages
Book Rating : 4.19/5 ( download)

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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 744 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.

Author : James R. Wilson
Publisher : Cambridge University Press
ISBN 13 : 9780521631556
Total Pages : 234 pages
Book Rating : 4.56/5 ( download)

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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.

Author : Carles Bona
Publisher : Springer Science & Business Media
ISBN 13 : 3642011632
Total Pages : 226 pages
Book Rating : 4.34/5 ( download)

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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.

Author : Carles Bona
Publisher : Springer Science & Business Media
ISBN 13 : 9783540257790
Total Pages : 168 pages
Book Rating : 4.99/5 ( download)

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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.

Author : Paul Romatschke
Publisher : Cambridge University Press
ISBN 13 : 1108579353
Total Pages : 207 pages
Book Rating : 4.53/5 ( download)

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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.

Author : Luciano Rezzolla
Publisher : Oxford University Press
ISBN 13 : 0198528906
Total Pages : 752 pages
Book Rating : 4.06/5 ( download)

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Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by Oxford University Press. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : James R. Wilson
Publisher : Cambridge University Press
ISBN 13 : 0521631556
Total Pages : 236 pages
Book Rating : 4.56/5 ( download)

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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 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Author : Carles Bona
Publisher : Springer
ISBN 13 : 3642011640
Total Pages : 214 pages
Book Rating : 4.41/5 ( download)

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Download or read book Elements of Numerical Relativity and Relativistic Hydrodynamics written by Carles Bona and published by Springer. This book was released on 2009-07-14 with total page 214 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.

Author : Miguel Alcubierre
Publisher : OUP Oxford
ISBN 13 : 0191548294
Total Pages : 464 pages
Book Rating : 4.91/5 ( download)

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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.

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1139643177
Total Pages : 717 pages
Book Rating : 4.77/5 ( download)

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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.