Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics PDF Download
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Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322
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Book Description
This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for corresponding linearised stability problems in the domains of uniform stability is described. Recent results for ideal models of MHD (classical MHD, 'pressure anisotropic' MHD of Chew, Goldberger and Low, relativistic MHD) and also for a certain non-hyperbolic model are presented as the system of electrohydrodynamics (EHD).
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322
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Book Description
This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for corresponding linearised stability problems in the domains of uniform stability is described. Recent results for ideal models of MHD (classical MHD, 'pressure anisotropic' MHD of Chew, Goldberger and Low, relativistic MHD) and also for a certain non-hyperbolic model are presented as the system of electrohydrodynamics (EHD).
Author: Donald J. Mastronarde
Publisher: Univ of California Press
ISBN: 9780520096011
Category : Literary Criticism
Languages : en
Pages : 156
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Book Description
Author: Fedor Vasil?evich Shugaev
Publisher: World Scientific
ISBN: 9789810230104
Category : Science
Languages : en
Pages : 264
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Book Description
This volume deals with the propagation of three-dimensional shock waves and their reflection from curved walls. It is divided into two parts. The first part presents a ray method. This is based on the expansion of fluid properties in power series at an arbitrary point on the shock front. Continuous fractions are used. Results for shock propagation in non-uniform fluids are given.The second part discusses the shock reflection from a concave body. The important shock-focusing problem is included. The work is supported by both numerical and experimental results. Many interesting features, such as formation of a jet, vortices and the appearance of disturbances on the shock front, are discussed.Besides shock waves in gases, the distinctive features of shock propagation through a weakly ionized plasma are considered.
Author: Eleuterio F. Toro
Publisher: Springer Science & Business Media
ISBN: 3540498346
Category : Technology & Engineering
Languages : en
Pages : 724
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Book Description
High resolution upwind and centered methods are a mature generation of computational techniques. They are 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. For its third edition the book has been thoroughly revised to contain new material.
Author: John S. Feinberg
Publisher: Crossway
ISBN: 9780891074687
Category : Religion
Languages : en
Pages : 416
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Book Description
Perspectives on the relationship between the Old and New Testaments as they concern theological systems, Mosaic law, salvation, hermeneutics, the people of God, and kingdom promises. From a respected group of modern theologians.
Author: Matania Ben-Artzi
Publisher: Cambridge University Press
ISBN: 9781139439473
Category : Mathematics
Languages : en
Pages : 366
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Book Description
Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering.
Author: A.G. Kulikovskii
Publisher: CRC Press
ISBN: 9780849306082
Category : Mathematics
Languages : en
Pages : 564
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Book Description
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena. The authors also address a number of original "nonclassical" problems, such as shock wave propagation in rods and composite materials, ionization fronts in plasma, and electromagnetic shock waves in magnets. They show that if a small-scale, higher-order mathematical model results in oscillations of the discontinuity structure, the variety of admissible discontinuities can exhibit disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical problems are accompanied by a multiple nonuniqueness of solutions. The authors formulate several selection rules, which in some cases easily allow a correct, physically realizable choice. This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. Its unique focus on applications, both traditional and new, makes Mathematical Aspects of Numerical Solution of Hyperbolic Systems particularly valuable not only to those interested the development of numerical methods, but to physicists and engineers who strive to solve increasingly complicated nonlinear equations.
Author: Benjamin L. Merkle
Publisher: Lexham Press
ISBN: 168359388X
Category : Religion
Languages : en
Pages : 160
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Book Description
What is the best framework for reading the Bible? The question of how to relate the Old and New Testaments is as old as the Bible itself. While most Protestants are unified on the foundations, there are major disagreements on particular issues. Who should be baptized? Is the Christian obligated to obey the Law of Moses? Does the church supplant Israel? Who are the proper recipients of God's promises to Israel? In Discontinuity to Continuity, Benjamin Merkle brings light to the debates between dispensational and covenantal theological systems. Merkle identifies how Christians have attempted to relate the Testaments, placing viewpoints along a spectrum of discontinuity to continuity. Each system's concerns are sympathetically summarized and critically evaluated. Through his careful exposition of these frameworks, Merkle helps the reader understand the key issues in the debate. Providing more light than heat, Merkle's book will help all readers better appreciate other perspectives and articulate their own.
Author: Boris Leonidovich Rozhdestvenski_
Publisher: American Mathematical Soc.
ISBN: 9780821898062
Category : Science
Languages : en
Pages : 700
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Book Description
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
Author: P.L. Sachdev
Publisher: CRC Press
ISBN: 1420035193
Category : Mathematics
Languages : en
Pages : 291
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Book Description
Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and Explosions brings analytic and computational methods
