Numerical Modeling in Applied Physics and Astrophysics
Author : Richard L. Bowers
Publisher : Jones & Bartlett Publishers
Page : 730 pages
File Size : 16,76 MB
Release : 1991
Category : Science
ISBN :
Author : Richard L. Bowers
Publisher : Jones & Bartlett Publishers
Page : 730 pages
File Size : 16,76 MB
Release : 1991
Category : Science
ISBN :
Author : Mario César Suárez Arriaga
Publisher : CRC Press
Page : 496 pages
File Size : 24,82 MB
Release : 2008-12-01
Category : Technology & Engineering
ISBN : 0203886224
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 : Peter Bodenheimer
Publisher : CRC Press
Page : 360 pages
File Size : 11,85 MB
Release : 2006-12-13
Category : Science
ISBN : 9780750308830
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 : Peter L. Hagelstein
Publisher : Wiley
Page : 900 pages
File Size : 32,81 MB
Release : 2019-03-25
Category : Technology & Engineering
ISBN : 9780471715740
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
Page : 98 pages
File Size : 48,64 MB
Release : 2013-09-20
Category : Science
ISBN : 3319014757
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 : J. Robert Buchler
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 42,98 MB
Release : 2012-12-06
Category : Science
ISBN : 940090519X
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 : Mikhail Ya Marov
Publisher : Springer Science & Business Media
Page : 682 pages
File Size : 39,40 MB
Release : 2013-01-16
Category : Science
ISBN : 1461451558
The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.
Author : Peter Bodenheimer
Publisher : CRC Press
Page : 400 pages
File Size : 19,46 MB
Release : 2021-06-30
Category :
ISBN : 9781498725620
Author : Randall J. LeVeque
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 44,19 MB
Release : 2006-04-18
Category : Science
ISBN : 3540316329
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.
Author : Igor B. Petrov
Publisher : Springer
Page : 346 pages
File Size : 28,99 MB
Release : 2019-01-08
Category : Technology & Engineering
ISBN : 3030062287
This book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below. · Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration. · Mathematical modeling in medical applications. The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.