Computational Methods For Astrophysical Fluid Flow
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Computational Methods For Astrophysical Fluid Flow
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Author : Randall J. LeVeque
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Computational Methods For Astrophysical Fluid Flow written by Randall J. LeVeque and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Science categories.
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.
Computational Methods For Astrophysical Fluid Flow
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Author : Randall J. LeVeque
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-08-19
Computational Methods For Astrophysical Fluid Flow written by Randall J. LeVeque and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-19 with Science categories.
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.
Astrophysical Flows
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Author : James E. Pringle
language : en
Publisher: Cambridge University Press
Release Date : 2007-04-26
Astrophysical Flows written by James E. Pringle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-26 with Science categories.
Almost all conventional matter in the Universe is fluid, and fluid dynamics plays a crucial role in astrophysics. This graduate textbook, first published in 2007, provides a basic understanding of the fluid dynamical processes relevant to astrophysics. The mathematics used to describe these processes is simplified to bring out the underlying physics. The authors cover many topics, including wave propagation, shocks, spherical flows, stellar oscillations, the instabilities caused by effects such as magnetic fields, thermal driving, gravity, shear flows, and the basic concepts of compressible fluid dynamics and magnetohydrodynamics. The authors are Directors of the UK Astrophysical Fluids Facility (UKAFF) at the University of Leicester, and editors of the Cambridge Astrophysics Series. This book has been developed from a course in astrophysical fluid dynamics taught at the University of Cambridge. It is suitable for graduate students in astrophysics, physics and applied mathematics, and requires only a basic familiarity with fluid dynamics.
Numerical Methods In Fluid Mechanics
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Author : Alain Vincent
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Numerical Methods In Fluid Mechanics written by Alain Vincent and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
At a level comprehensible to graduate students and beginning researchers, describes the state of the art in using numerical methods for analyzing turbulence in fluids, a problem still unsolved after centuries of research. The methods described include wavelet-based, semi-Lagrangian, Langrangian multi-pole, continuous adaptation of curvilinear grids, finite volume, and shock-capturing. Among the applications are industrial flows, aerodynamics, two-phase flows, astrophysical flows, and meteorology. Suitable as a course text for graduate students with a background in fluid mechanics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Applied Numerical Methods For Partial Differential Equations
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Author : Carl L. Gardner
language : en
Publisher: Springer Nature
Release Date : 2024-10-21
Applied Numerical Methods For Partial Differential Equations written by Carl L. Gardner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.
The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including: Computing solutions to chaotic dynamical systems with TRBDF2 Simulating the nonlinear diffusion equation with TRBDF2 Applying Newton’s method and GMRES to the nonlinear Laplace equation Analyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets) Modeling the drift-diffusion equations with TRBDF2 and PCG Solving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2 The book features 34 original MATLAB programs illustrating each numerical method and includes 93 problems that confirm results discussed in the text and explore new directions. Additionally, it suggests eight semester-long projects. This comprehensive text can serve as the basis for a one-semester graduate course on the numerical solution of partial differential equations, or, with some advanced material omitted, for a one-semester junior/senior or graduate course on the numerical solution of ordinary and partial differential equations. The topics and programs will be of interest to applied mathematicians, engineers, physicists, biologists, chemists, and more.
An Introduction To Astrophysical Fluid Dynamics
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Author : Michael J. Thompson
language : en
Publisher: Imperial College Press
Release Date : 2006
An Introduction To Astrophysical Fluid Dynamics written by Michael J. Thompson and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Biography & Autobiography categories.
This book provides an introduction for graduate students and advanced undergraduate students to the field of astrophysical fluid dynamics. Although sometimes ignored, fluid dynamical processes play a central role in virtually all areas of astrophysics.No previous knowledge of fluid dynamics is assumed. After establishing the basic equations of fluid dynamics and the physics relevant to an astrophysical application, a variety of topics in the field are addressed. There is also a chapter introducing the reader to numerical methods. Appendices list useful physical constants and astronomical quantities, and provide handy reference material on Cartesian tensors, vector calculus in polar coordinates, self-adjoint eigenvalue problems and JWKB theory.
Computational Physics
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Author : Devang Patil
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Computational Physics written by Devang Patil and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Computational Physics: Basic Concepts" serves as an indispensable guide for students, researchers, and enthusiasts exploring the intersection of physics and computational methods. This book offers a comprehensive exploration of the fundamental principles of computational physics, providing a solid foundation to tackle complex problems in various branches of physics. The book begins by elucidating the foundational principles and theoretical underpinnings essential for effective computational simulations. It covers a variety of numerical techniques, including finite difference methods and Monte Carlo simulations, with practical examples and applications. Recognizing the importance of coding skills, it includes a section on programming tailored for physicists, teaching readers to implement numerical algorithms using popular programming languages. "Computational Physics: Basic Concepts" extends its coverage to diverse branches of physics such as classical mechanics, electromagnetism, quantum mechanics, and statistical physics, illustrating the versatility of computational techniques. Each chapter includes problem-solving exercises designed to reinforce understanding and enhance computational skills. Techniques for data visualization and interpretation are discussed, enabling effective communication of findings. The book also shares practical tips and best practices to optimize computational workflows and avoid common pitfalls. Whether you're a student new to computational physics or a seasoned researcher, "Computational Physics: Basic Concepts" provides a thorough and accessible resource for mastering the essential elements of this dynamic field.
Analytical And Numerical Methods For Wave Propagation In Fluid Media
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Author : Krzysztof Murawski
language : en
Publisher: World Scientific
Release Date : 2002
Analytical And Numerical Methods For Wave Propagation In Fluid Media written by Krzysztof Murawski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Riemann Solvers And Numerical Methods For Fluid Dynamics
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Author : Eleuterio F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Riemann Solvers And Numerical Methods For Fluid Dynamics written by Eleuterio F. Toro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.
Computational Methods For Geodynamics
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Author : Alik Ismail-Zadeh
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22
Computational Methods For Geodynamics written by Alik Ismail-Zadeh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-22 with Science categories.
Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.