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Author: Peter L. Hagelstein Publisher: Wiley ISBN: 9780471715740 Category : Technology & Engineering Languages : en Pages : 900
Book Description
Presenting material used extensively by students at MIT where the author teaches, Introduction to Numerical Modeling in Engineering and Applied Physics which allows students and professionals access to basic methods and approaches in numerical simulations, so that they will be able to develop their own numerical models and better understand numerical models developed by others. It assumes no previous experience with numerical modeling, and is addressed to scientists and engineers in engineering and applied physics who are involved in modeling, covering a broad range of generally useful numerical methods and algorithms from a user-oriented perspective.
Author: Wolfram Schmidt Publisher: Springer Science & Business Media ISBN: 3319014757 Category : Science Languages : en Pages : 98
Book Description
In this "SpringerBrief" the author considers the underlying problems and questions that are common to numerical models of turbulence in different astrophysical systems. Turbulence has emerged as an important research topic in several areas of astrophysics. Understanding and modeling turbulence is particularly important for the dynamics of the interstellar medium, but also for the intergalactic medium, as well as in stars. The advancement of methods for numerical simulations of astrophysical turbulence, however, is still challenging because of gravity, strong compressibility, magnetic fields, and other effects. The book begins with a review of general aspects of numerical simulations of turbulence. In the main part the author presents findings from his numerical studies on astrophysical turbulence and discusses the astrophysical implications. He also explains in detail the numerical schemes utilized. Readers will find that this book offers a compact yet comprehensive introduction.
Author: Peter Bodenheimer Publisher: Taylor & Francis ISBN: 1420011863 Category : Science Languages : en Pages : 344
Book Description
Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, a
Author: Peter Bodenheimer Publisher: CRC Press ISBN: 9780750308830 Category : Science Languages : en Pages : 360
Book Description
Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, and suggests ways to test for and reduce the inevitable negative effects. After an introduction to the basic equations and derivations, the book focuses on practical applications of the numerical methods. It explores hydrodynamic problems in one dimension, N-body particle dynamics, smoothed particle hydrodynamics, and stellar structure and evolution. The authors also examine advanced techniques in grid-based hydrodynamics, evaluate the methods for calculating the gravitational forces in an astrophysical system, and discuss specific problems in grid-based methods for radiation transfer. The book incorporates brief user instructions and a CD-ROM of the numerical codes, allowing readers to experiment with the codes to suit their own needs. With numerous examples and sample problems that cover a wide range of current research topics, this highly practical guide illustrates how to solve key astrophysics problems, providing a clear introduction for graduate and undergraduate students as well as researchers and professionals.
Author: Mario César Suárez Arriaga Publisher: CRC Press ISBN: 0203886224 Category : Technology & Engineering Languages : en Pages : 496
Book Description
Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont
Author: J. Robert Buchler Publisher: Springer Science & Business Media ISBN: 940090519X Category : Science Languages : en Pages : 372
Book Description
This interdisciplinary meeting has brought together a group of astrophysicists with hands-on experience in the numerical computation of astrophysical fluid dynamics, in particular nonlinear stellar pulsations, and a group of applied mathematicians who are actively engaged with the development of novel and improved numerical methods. The goal of the workshop has been for the astrophysicists to discuss in detail the numerical problems encountered in the modelling of stellar pulsations and for the mathematicians to present a survey of recent developments in numerical techniques. This astrophysical-mathematical intercourse will help the astrophysicists in the future development of more reliable and efficient codes, on the one hand, and it has introduced the mathematicians to an unfamiliar area which is a tough testing ground for their techniques. Since the difficulties encountered are common to other fluid dynamics problems, and are in fact perhaps more severe, fluid dynamicists in other research areas may fmd the results of this workshop of interest as well. Much of our theoretical understanding of the intricate and interesting behavior of variable stars rests on our ability to perform accurate numerical hydrodynamical computations of stellar models. Extensive calculations of nonlinear radial stellar pulsations with the use of increasingly powerful computers are showing more and more clearly that the numerical codes in current use have serious deficiencies.
Author: Nikolai V. Pogorelov Publisher: ISBN: 9781583818800 Category : Plasma turbulence Languages : en Pages : 252
Book Description
This Volume contains the Proceedings of ASTRONUM-2014, the ninth meeting in a series of international conferences organized by the Center for Space Plasma and Aeronomic Research at the University of Alabama in Huntsville, U.S.A. and Maison de la Simulation, CEA-CNRS-INRIAUPsud- UVSQ, France. ¬The subjects of the conference included such topics as turbulence and cosmic ray transport, astrophysical and space plasma flows, kinetic and hybrid simulations, numerical methods, algorithms, and frameworks. All of these topics are of great importance to scientists investigating solar structure, the heliosphere, the Sun-Earth connection, and various astrophysical phenomena related to plasma flows. The plasma phenomena discussed at the conference are characterized by different temporal and spatial scales, regions, and particle populations, for which different sets of defining equations or concepts are necessary to understand the physical systems in their entirety. This book will be of interest to specialists in applied mathematics, astrophysics, space physics, and computer science working on the application of novel numerical algorithms to contemporary problems arising in these fields. It will also be useful to graduate students who want to get acquainted with the fundamental approaches to solving magnetohydrodynamic and kinetic equations governing space plasma flows.
Author: Dermott J. Mullan Publisher: CRC Press ISBN: 1420083082 Category : Science Languages : en Pages : 384
Book Description
With an emphasis on numerical modeling, Physics of the Sun: A First Course presents a quantitative examination of the physical structure of the Sun and the conditions of its extended atmosphere. It gives step-by-step instructions for calculating the numerical values of various physical quantities.The text covers a wide range of topics on the Sun an
Author: Randall J. LeVeque Publisher: Springer Science & Business Media ISBN: 3540316329 Category : Science Languages : en Pages : 523
Book Description
This book leads directly to the most modern numerical techniques for compressible fluid flow, with special consideration given to astrophysical applications. Emphasis is put on high-resolution shock-capturing finite-volume schemes based on Riemann solvers. The applications of such schemes, in particular the PPM method, are given and include large-scale simulations of supernova explosions by core collapse and thermonuclear burning and astrophysical jets. Parts two and three treat radiation hydrodynamics. The power of adaptive (moving) grids is demonstrated with a number of stellar-physical simulations showing very crispy shock-front structures.