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Author : Donald J. Mastronarde
Publisher : Univ of California Press
Page : 156 pages
File Size : 47,9 Mb
Release : 1979-01-01
Category : Literary Criticism
ISBN : 0520096010
Author : Gabi Ben-Dor
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 50,5 Mb
Release : 2007-08-28
Category : Science
ISBN : 9783540713821
This book is a comprehensive state-of-the-knowledge summation of shock wave reflection phenomena from a phenomenological point of view. It includes a thorough introduction to oblique shock wave reflections, dealing with both regular and Mach types. It also covers in detail the corresponding two- and three-shock theories. The book moves on to describe reflection phenomena in a variety of flow types, as well as providing the resolution of the Neumann paradox.
Author : Tatsien Li,Tiehu Qin
Publisher : SIAM
Page : 555 pages
File Size : 55,7 Mb
Release : 2014-04-18
Category : Mathematics
ISBN : 9781611973976
Physics and Partial Differential Equations, The Complete Set?bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Each volume is also sold individually. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as?electrodynamics;?fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics;?elastic, thermoelastic, and viscoelastic mechanics;?the kinetic theory of gases;?special relativity; and?quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including?the types and basic characteristics of the equations,?the behavior of solutions, and?some commonly used approaches to solving PDEs.?
Author : Anonim
Publisher : Unknown
Page : 894 pages
File Size : 40,5 Mb
Release : 1964
Category : Science
ISBN : MINN:31951000846707X
Author : Alain Combescure,René, de Borst,Ted Belytschko
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 42,5 Mb
Release : 2010-04-07
Category : Technology & Engineering
ISBN : 9781402065309
In recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics.
Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 488 pages
File Size : 47,5 Mb
Release : 2007-06-18
Category : Mathematics
ISBN : 0521877431
A high-impact factor, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author : Carolus J. Schrijver,George L. Siscoe
Publisher : Cambridge University Press
Page : 472 pages
File Size : 40,6 Mb
Release : 2010-05-06
Category : Science
ISBN : 9781107049048
Heliophysics is a fast-developing scientific discipline that integrates studies of the Sun's variability, the surrounding heliosphere, and the environment and climate of planets. The Sun is a magnetically variable star and for planets with intrinsic magnetic fields, planets with atmospheres, or planets like Earth with both, there are profound consequences. This 2010 volume, the second in this series of three heliophysics texts, integrates the many aspects of space storms and the energetic radiation associated with them - from causes on the Sun to effects in planetary environments. It reviews the physical processes in solar flares and coronal mass ejections, interplanetary shocks, and particle acceleration and transport, and considers many space weather responses in geospace. In addition to its utility as a textbook, it also constitutes a foundational reference for researchers in fields from heliophysics to climate science. Additional online resources, including lecture presentations and other teaching materials, are available at www.cambridge.org/9780521760515.
Author : Mikhail Shashkov
Publisher : CRC Press
Page : 384 pages
File Size : 45,9 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351458306
This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
Author : Sreenivas Jayanti
Publisher : Springer
Page : 402 pages
File Size : 45,8 Mb
Release : 2018-01-09
Category : Technology & Engineering
ISBN : 9789402412178
This book offers a practical, application-oriented introduction to computational fluid dynamics (CFD), with a focus on the concepts and principles encountered when using CFD in industry. Presuming no more knowledge than college-level understanding of the core subjects, the book puts together all the necessary topics to give the reader a comprehensive introduction to CFD. It includes discussion of the derivation of equations, grid generation and solution algorithms for compressible, incompressible and hypersonic flows. The final two chapters of the book are intended for the more advanced user. In the penultimate chapter, the special difficulties that arise while solving practical problems are addressed. Distinction is made between complications arising out of geometrical complexity and those arising out of the complexity of the physics (and chemistry) of the problem. The last chapter contains a brief discussion of what can be considered as the Holy Grail of CFD, namely, finding the optimal design of a fluid flow component. A number of problems are given at the end of each chapter to reinforce the concepts and ideas discussed in that chapter. CFD has come of age and is widely used in industry as well as in academia as an analytical tool to investigate a wide range of fluid flow problems. This book is written for two groups: for those students who are encountering CFD for the first time in the form of a taught lecture course, and for those practising engineers and scientists who are already using CFD as an analysis tool in their professions but would like to deepen and broaden their understanding of the subject.
Author : United States. National Advisory Committee for Aeronautics
Publisher : Unknown
Page : 468 pages
File Size : 40,5 Mb
Release : 1949
Category : Aeronautics
ISBN : OSU:32435067596577
Author : Simon Markfelder
Publisher : Springer Nature
Page : 244 pages
File Size : 52,6 Mb
Release : 2021-10-20
Category : Mathematics
ISBN : 9783030837853
This book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the full system with temperature. The convex integration technique, originally developed in the context of differential inclusions, was applied in the groundbreaking work of De Lellis and Székelyhidi to the incompressible Euler equations, leading to infinitely many solutions. This theory was later refined to prove non-uniqueness of solutions of the compressible Euler system, too. These non-uniqueness results all use an ansatz which reduces the equations to a kind of incompressible system to which a slight modification of the incompressible theory can be applied. This book presents, for the first time, a generalization of the De Lellis–Székelyhidi approach to the setting of compressible Euler equations. The structure of this book is as follows: after providing an accessible introduction to the subject, including the essentials of hyperbolic conservation laws, the idea of convex integration in the compressible framework is developed. The main result proves that under a certain assumption there exist infinitely many solutions to an abstract initial boundary value problem for the Euler system. Next some applications of this theorem are discussed, in particular concerning the Riemann problem. Finally there is a survey of some related results. This self-contained book is suitable for both beginners in the field of hyperbolic conservation laws as well as for advanced readers who already know about convex integration in the incompressible framework.
Author : Heinrich Freistühler,Gerald Warnecke
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 52,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 3764367091
The Eighth International Conference on Hyperbolic Problems - Theory, Nu merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele ment schemes, adaptive, multiresolution, and artificial dissipation methods.
Author : Ben Q. Li
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 47,8 Mb
Release : 2006-06-29
Category : Technology & Engineering
ISBN : 9781846282058
Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.
Author : LEVEQUE
Publisher : Birkhäuser
Page : 221 pages
File Size : 53,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783034851169
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
Author : Joseph M. Powers
Publisher : Cambridge University Press
Page : 721 pages
File Size : 47,7 Mb
Release : 2023-06-29
Category : Science
ISBN : 9781316515693
An accessible, rigorous introduction to fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition.