Elements of numerical relativity and relativistic hydrodynamics

from Einstein"s equations to astrophysical simulations
  • 214 Pages
  • 2.58 MB
  • 2439 Downloads
  • English
by
Springer , Berlin
Evolution equations, Einstein field equations, Relativity (Physics), Mathematics, Numerical solutions, Space and
StatementC. Bona, C. Palenzuela-Luque, C. Bona-Casas
SeriesLecture notes in physics -- [783]
ContributionsPalenzuela-Luque, Carlos, Bona-Casas, C. (Carles), SpringerLink (Online service)
Classifications
LC ClassificationsQC173.55 B66 2009
The Physical Object
Paginationxiv, 214 p. :
ID Numbers
Open LibraryOL25554528M
ISBN 103642011632
ISBN 139783642011641, 9783642011634
OCLC/WorldCa401158753

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.

Elements of Numerical Relativity and Relativistic Hydrodynamics by Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas Book Resume: 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.

Elements of Numerical Relativity and Relativistic Hydrodynamics: From Einstein' s Equations to Astrophysical Simulations | Bona, Carles; Palenzuela-Luque, Carlos; Bona-Casas, Carles | download | B–OK. Download books for free. Find books. Get this from a library. Elements of numerical relativity and relativistic hydrodynamics: from Einstein's equations to astrophysical simulations.

[Carles Bona; Carlos Palenzuela-Luque; C Bona-Casas] -- "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. Bona / Palenzuela-Luque / Bona-Casas, Elements of Numerical Relativity and Relativistic Hydrodynamics,Buch, Bücher schnell und portofrei.

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.

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.

Suitable for use as a textbook for graduate courses on astrophysical hydrodynamics and relativistic astrophysics, this book also provides a valuable reference for researchers already working in the field.

james wilsonis widely recognized as a pioneer in the field of numerical relativity and hydrodynamics. 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 Reviews: 1. General relativistic hydrodynamics and magnetohydrodynamics 5 A distinctive feature of the numerical solution of the RHD equations is that while the numerical algorithm updates the vector of conserved quanti-ties U (see below), the numerical code makes extensive use of.

Get this from a library. Elements of Numerical Relativity and Relativistic Hydrodynamics: From Einstein' s Equations to Astrophysical Simulations. [Carles Bona; C Bona-Casas; Carlos Palenzuela-Luque] -- 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.

relativistic numerical simulations in three spatial dimensions. Since an-alytic and post-Newtonian methods are only applicable for systems of special symmetry and/or relatively weak fields, numerical relativistic hydrodynamics is the only viable method to model such highly dynamical asymmetrical strong field systems.

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 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. 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.

Download Elements of numerical relativity and relativistic hydrodynamics EPUB

Gourgoulhon: An Introduction to Relativistic Hydrodynamics 45 of relativistic hydrodynamics. In particular we focus on the various notions of derivative on spacetime. The Spacetime of General Relativity Relativity has perfo rmed the fusion of space and time, two notions which were completely distinct in Newtonian mecha nics.

Lagrangian Relativistic Hydrodynamics The Lagrangian coordinates yl become the numerical grid points of the finite differencing scheme.

Description Elements of numerical relativity and relativistic hydrodynamics FB2

Thus we replace by V = (J, K, L), which takes only integer values. The grid points comove with the matter so that the numerical grid cells correspond to Lagrangian fluid elements.

The second part provides an introductory but complete description of those numerical methods currently adopted in the solution of the relativistic hydrodynamic equations. Finally, the thirdpart is devoted to applications and considers several physical and astrophysical systems for which relativistic hydrodynamics plays a crucial role.

'Numerical relativity has come of age in the last few years, and Baumgarte and Shapiro have produced the first textbook on the subject.

Details Elements of numerical relativity and relativistic hydrodynamics FB2

And what a book this is. Sufficiently complete to be an encyclopedia, yet accessible enough to be a genuine learning manual, the book is exceedingly well s: 3.

the EOS for numerical relativistic hydrodynamics, and propose a new EOS that is simple and yet approximates very Subject headings: hydrodynamics — methods: numerical — relativity 1. INTRODUCTION Relativistic flows are involved in many high-energy astrophys-ical phenomena.

Examples include relativistic jets from Galactic. This lecture provides some introduction to perfect fluid dynamics within the framework of general relativity. The presentation is based on the Carter-Lichnerowicz approach.

It has the advantage over the more traditional approach of leading very straightforwardly to important conservation laws, such as the relativistic generalizations of Bernoulli's theorem or Kelvin's circulation theorem. The numerical treatment of the general relativistic hydrodynamic equations is based on high resolution shock capturing schemes, speci cally designed to solve non-linear hy-perbolic systems of conservation laws.

These schemes rely on the characteristic infor-mation of the system. A spectral decomposition for general relativistic hydrodynamics. Here, special relativistic hydrodynamics is needed for numerical simulations. Our group has developed and successfully applied computer codes for such simulations for many years.

To describe compact objects one must resort to general relativity, a generalization of Newton's theory of gravity. The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed.

Different formulations of the equations are presented, with special mention of. The book provides a lively and approachable introduction to the main concepts and techniques of relativistic hydrodynamics in a form which will appeal to physicists at advanced undergraduate and postgraduate levels.

The book is divided into three parts. The first part deals with the physical aspects of relativistic hydrodynamics, touching on fundamental topics such as kinetic theory, equations.

Numerical relativity is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems. To this end, supercomputers are often employed to study black holes, gravitational waves, neutron stars and many other phenomena governed by Einstein's theory of general relativity.A currently active field of research in numerical relativity is the.

Elements of Numerical Relativity and Relativistic Hydrodynamics: From Einstein' s Equations to Astrophysical Simulations, Edition 2 Book 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.

The current status of numerical solutions for the equations of ideal general rel-ativistic hydrodynamics is reviewed. With respect to an earlier version of the article the present update provides additional information on numerical schemes and extends the discussion of astrophysicalsimulations in general relativistic hy-drodynamics.

• General relativistic hydrodynamics equations (3+1) • General relativistic (ideal) magneto-hydrodynamics equations • Numerical solution (hyperbolic systems of conservation laws) •Applications in relativistic astrophysics Further information: J.A.

Font, “Numerical hydrodynamics in general relativity”, Living Reviews in Relativity. Relativistic Hydrodynamics and other topics in Numerical Relativity by Ignacio (Inaki)~ Olabarrieta Licenciado en Ciencias, Universidad del Pa s Vasco,The University of British Columbia, A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY in THE FACULTY OF GRADUATE STUDIES.

Relativity:uela-Luque, -Casas: Elements of Numerical Relativity and Relativistic Hydrodynamics: From Einstein' s Equations to Astrophysical Simulations Series: Lecture Notes in Physics (Book ) Hardcover: pages Publisher: Springer; 2nd ed.

edition (J ) Language: English ISBN ISBNNumerical methods for special relativistic MHD flows are also not included as they are beyond the scope of this review.

Furthermore, we do not include numerical methods for general relativistic hydrodynamics. A comprehensive and recent discussion of such methods can be found in another article in Living Reviews in Relativity written by Font. Numerical relativity requires not only large computers and efficient codes, but also a wide variety of numerical algorithms for evolving and analyzing the solution.

Previously, most work in relativistic hydrodynamics has been done on fixed metric backgrounds. In this approximation the fluid is allowed to move in a relativistic manner in.