Strong discontinuities in magnetohydrodynamics

by A. M. Blokhin

Publisher: Nova Science Publishers in New York

Written in English
Cover of: Strong discontinuities in magnetohydrodynamics | A. M. Blokhin
Published: Pages: 150 Downloads: 48
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Subjects:

  • Magnetohydrodynamics.

Edition Notes

Includes bibliographical references (p. 145-146) and index.

StatementA.M. Blokhin ; translated by A.V. Zakharov.
Classifications
LC ClassificationsQC718.5.M36 B575 1994
The Physical Object
Paginationvii, 150 p. ;
Number of Pages150
ID Numbers
Open LibraryOL1421988M
ISBN 101560721448
LC Control Number93032234

This chapter is devoted to the issue of stability of strong discontinuities in fluids and magnetohydrodynamics (MHD) and surveys main known results in this field. Book. magnetohydrodynamics (măgnē'tōhī'drōdīnăm`ĭks), study of the motions of electrically conducting fluids and their interactions with magnetic principles of magnetohydrodynamics are of particular importance in plasma plasma, in physics, fully ionized gas of low density, containing approximately equal numbers of positive and negative ions (see electron and ion).   Abstract: Artificial resistivity is included in Smoothed Particle Magnetohydrodynamics simulations to capture shocks and discontinuities in the magnetic field. Here we present a new method for adapting the strength of the applied resistivity so that shocks are captured but the dissipation of the magnetic field away from shocks is minimised. Gasdynamic analogies are constructed for the oblique interaction of MHD shock waves (counter colliding or overtaking). These analogies fairly adequately describe the complex dependences of the gas dynamic parameters of the medium on the magnetic field strength and inclination. The complete gas dynamic analogy in which the MHD interaction is simulated by the interaction of two gas dynamic shock.

A high-order Godunov-type scheme is developed for the shock interactions in ideal magnetohydrodynamics (MHD). The scheme is based on a nonlinear Riemann solver and follows the basic procedure in the piecewise parabolic method. The scheme takes into account all the discontinuities in ideal MHD and is in a strict conservation form. Magnetohydrodynamics (MHD) (magnetofluiddynamics or hydromagnetics) is the academic discipline which studies the dynamics of electrically conducting fluids. Examples of such fluids include plasmas, liquid metals, and salt water. The word magnetohydrodynamics (MHD) is derived from magneto- meaning magnetic field, and hydro- meaning liquid, and -dynamics meaning movement. The field of . Brand new Book. Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion. This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. Starting from elementary chapters on fluid mechanics and. AMS Book and Journal Donation Program Donation #49 Page 1 of 4 Problems and Examples in Differential Equations, Volume Matrices Over Commutative Rings, Volume Linear Geometry With Computer Graphics, Volume Conditional Measures and Applications, Volume Optimal Control of Nonlinear Parabolic Systems, Volume

Suitable for students with a knowledge of advanced calculus, this book covers topics including single-particle motions, kinetic theory, magnetohydrodynamics, small amplitude waves in both cold & hot plasmas, nonlinear phenomena & collisional effects.

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Strong Discontinuities in Magnetohydrodynamics UK ed. Edition by A. Blokhin (Author) › Visit Amazon's A. Blokhin Page. Find all the books, read about the author, and more. See search results for this author. Are you an author. Learn about Author Central.

M Cited by: Book, Internet Resource: All Authors / Contributors: A M Blokhin. Find more information about: ISBN: OCLC Number: Some Properties of Linearized System of Magnetohydrodynamics Equations --Surfaces of Strong Discontinuity in Magnetohydrodynamics.

Equations of Strong Discontinuity. 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 : A.

Blokhin. ISBN: OCLC Number: Description: x, pages: illustrations ; 27 cm: Contents: Stability of strong discontinuities --Standard physical approach to the stability problem --"Equational" approach --Basic steps of the "equational" approach to the stability analysis --Symmetrization of quasilinear systems of conservation laws --Equations of strong discontinuity.

This chapter is devoted to the issue of stability of strong discontinuities in fluids and magnetohydrodynamics (MHD) and surveys main known results in this field. Chapter 5. Shock waves and discontinuities Boundary conditions on a discontinuity surface Classification of strong discontinuities Lyapunov stability of discontinuities Evolutionarity of discontinuities Jumps in MHD quantities in discontinuity waves Parallel shock waves Let us now give the classification of strong discontinuities in MHD (see also [71, 84, 81]).

D efinition If the fluid does not flow through a MHD strong discontinuity, i.e., j = 0, such a strong discontinuity is called contact if H N ≠ 0, and tangential if H N = 0. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATI () Weak Discontinuities in Shallow-Liquid Magnetohydrodynamics C.

KAUL Indian Institute of Technology, Kharagpur, India Submitted by N. Coburn 1. Although the first ideas in magnetohydrodynamics appeared at the beginning of the last century, the "explosion" in theoretical and experimental studies occurred in the ss.

This state-of-the-art book aims at revising the evolution of ideas in various branches of magnetohydrodynamics (astrophysics, earth and solar dynamos, plasmas, MHD. Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion.

This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. Yang, M. Naderi, in Numerical Modelling of Failure in Advanced Composite Materials, Strong discontinuity.

For strong discontinuities, we consider cohesive cracks with mixed-mode piecewise linear traction-separation laws as detailed in Figurewhere the linear segments of each traction-separation laws are properly indexing scheme is closely related to the new.

This book summarizes the principal results of these historic expeditions, using magnetohydrodynamics as the framework for interpreting objects and processes observed in the interplanetary medium. Topics include various types of magnetohydrodynamic shocks and their interactions, tangential and rotational discontinuities, force-free field.

Abstract. The problem of the regular oblique interaction of a plane-polarized Alfvén discontinuity and a fast magnetohydrodynamic shock wave propagating in opposite directions is solved numerically within the framework of the ideal magnetohydrodynamic model over a wide range of the key parameters.

We study Alfvén discontinuities for the equations of ideal compressible magnetohydrodynamics (MHD). The Alfvén discontinuity is a characteristic discontinuity for the hyperbolic system of the MHD equations but, as for shock waves, the gas crosses its front.

The Euler equations of gas dynamics and magnetohydrodynamics (MHD) are prototypes of hyperbolic conservation laws. In general, there are two types of discontinuities in the entropy solutions: shock waves and characteristic discontinuities, in which characteristic discontinuities can be either vortex sheets or entropy waves.

Tangential discontinuities spread over more than 10 cells. Our tests confirm that slow compound structures with two-dimensional magnetic field are composed of intermediate shocks (so called ``'' We describe a numerical code to solve the equations for ideal magnetohydrodynamics (MHD).

Blokhin and Yu. Trakhinin, Stability of Strong Discontinuities in Plasma with Anisotropic Pressure, J. Magnetohydrodynamics and Plasma Res., 4 (), – Google Scholar [32]. Discover Book Depository's huge selection of Blokhin books online.

Free delivery worldwide on over 20 million titles. Stability of Strong Discontinuities in Magnetohydrodynamics & Electrohydrodynamics. Alexander Blokhin. US$ US$ Save US$ Add to basket. 26% off. Strong Discontinuities in Magnetohydrodynamics. A M. Observations of slow shocks in the Earth's magnetotail at the plasma sheet‐lobe boundaries have been well documented.

We restudy the magnetic field data of two slow shocks: one was observed from Ge. Strong Discontinuities in Magnetohydrodynamics Mar 1, by A. Blokhin, A. Zakharov Hardcover. Seven schemes to maintain the ∇B=0 constraint numerically are these algorithms can be combined with shock-capturing Godunov type base schemes.

They fall into three categories: the eight-wave formulation maintains the constraint to truncation error, the projection scheme enforces the constraint in some discretization by projecting the magnetic field, while the five different.

This is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids. This book is intended to serve as an introductory text for advanced undergraduates and postgraduate students in physics, applied mathematics and engineering.

The material in the text is heavily weighted towards. Hydrodynamic Description of a Plasma. Magnetohydrodynamics. Plasma Flows in a Strong Magnetic Field. Waves and Discontinuous Flows in a MHD Medium.

Evolutionarity of MHD. Subsequent chapters deal with weak discontinuities or discontinuities in the derivatives of the characteristic flow quantities; strong discontinuities or discontinuities in the characteristic flow quantities; and one-dimensional motion, motion in ducts, and.

The flow of an electrically conducting fluid in an open channel in the presence of a strong magnetic field of oblique incidence to both the channel walls and the force of gravity is explored.

This type of flow has possible applications to the protection of high heat flux surfaces in magnetic confinement fusion reactors. The governing equations of fully‐developed flow are derived retaining.

Hardback. Condition: New. UK ed. Language: English. Brand new Book. 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.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

1 Slowly moving shocks (SMS) issues in the Brio-Wu problem. Figure clearly demonstrates that the conventional PPM reconstruction method fails to preserve monotonicities, shedding oscillations especially in the plateau near strong discontinuities such as the contact and right going slow MHD shock.

In Fig.Mach numbers are plotted with varying strengths of the. Magnetohydrodynamics (MHD; also magneto-fluid dynamics or hydro­magnetics) is the study of the magnetic properties and behaviour of electrically conducting es of such magneto­fluids include plasmas, liquid metals, salt water, and word "magneto­hydro­dynamics" is derived from magneto-meaning magnetic field, hydro-meaning water, and dynamics meaning movement.

Book Description: Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable.

We present a recent result [23] for the free boundary problem for contact discontinuities in ideal compressible magnetohydrodynamics (MHD). They are characteristic discontinuities with no flow across the discontinuity for which the pressure, the magnetic field and the velocity are continuous whereas the density and the entropy may have a jump.Magnetohydrodynamics.

equations globally in the complex geometry of a divertor tokamak or a stellarator is a highly demanding task due to the strong temporal and spatial multi-scale nature of the problem and highly anisotropic behaviour arising from strong magnetic fields.

DG methods represent the solution by element-local polynomials.All simulations are done with the Versatile Advection Code, in which several shock-capturing base schemes are implemented.

Although the eight-wave formulation usually works correctly, one of the numerical tests demonstrates that its non-conservative nature can occasionally produce incorrect jumps across strong discontinuities.