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Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics

Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics PDF Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322

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).

Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics

Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics PDF Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322

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).

Contact and Discontinuity

Contact and Discontinuity PDF Author: Donald J. Mastronarde
Publisher: Univ of California Press
ISBN: 9780520096011
Category : Literary Criticism
Languages : en
Pages : 156

Book Description


Continuity and Discontinuity

Continuity and Discontinuity PDF Author: John S. Feinberg
Publisher: Crossway
ISBN: 9780891074687
Category : Religion
Languages : en
Pages : 416

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.

Nature

Nature PDF Author: Sir Norman Lockyer
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 640

Book Description


Propagation and Reflection of Shock Waves

Propagation and Reflection of Shock Waves PDF Author: Fedor Vasil?evich Shugaev
Publisher: World Scientific
ISBN: 9789810230104
Category : Science
Languages : en
Pages : 264

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.

Nature

Nature PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 882

Book Description


Riemann Solvers and Numerical Methods for Fluid Dynamics

Riemann Solvers and Numerical Methods for Fluid Dynamics PDF Author: Eleuterio F. Toro
Publisher: Springer Science & Business Media
ISBN: 3540498346
Category : Technology & Engineering
Languages : en
Pages : 724

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.

NASA Technical Translation

NASA Technical Translation PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1170

Book Description


Application of the Characteristics Method to Numerical Solution of Unidimensional Problems in Gas Dynamics

Application of the Characteristics Method to Numerical Solution of Unidimensional Problems in Gas Dynamics PDF Author: Anatoliĭ Ivanovich Zhukov
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 172

Book Description


Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer PDF Author: Ben Q. Li
Publisher: Springer Science & Business Media
ISBN: 1846282055
Category : Technology & Engineering
Languages : en
Pages : 587

Book Description
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.