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Titlebook: Magnetohydrodynamic Equilibrium and Stability of Stellarators; Frances Bauer,Octavio Betancourt,Paul Garabedian Book 1984 Springer-Verlag

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發(fā)表于 2025-3-21 18:34:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Magnetohydrodynamic Equilibrium and Stability of Stellarators
編輯Frances Bauer,Octavio Betancourt,Paul Garabedian
視頻videohttp://file.papertrans.cn/622/621435/621435.mp4
圖書封面Titlebook: Magnetohydrodynamic Equilibrium and Stability of Stellarators;  Frances Bauer,Octavio Betancourt,Paul Garabedian Book 1984 Springer-Verlag
描述In this book, we describe in detail a numerical method to study the equilibrium and stability of a plasma confined by a strong magnetic field in toroidal geometry without two-dimensional symmetry. The principal appli- cation is to stellarators, which are currently of interest in thermonuclear fusion research. Our mathematical model is based on the partial differential equations of ideal magnetohydrodynamics. The main contribution is a computer code named BETA that is listed in the final chapter. This work is the natural continuation of an investigation that was presented in an early volume of the Springer Series in Computational Physics (cf. [3]). It has been supported over a period of years by the U.S. Department of Energy under Contract DE-AC02-76ER03077 with New York University. We would like to express our gratitude to Dr. Franz Herrnegger for the assistance he has given us with the preparation of the manuscript. We are especially indebted to Connie Engle for the high quality of the final typescript. New York F. BAUER October 1983 O. BETANCOURT P. GARABEDIAN Contents 1. Introduction 1 2. Synopsis of the Method 3 1. Variational principle 3 2. Coordinate system 6 3. Finite Differ
出版日期Book 1984
關(guān)鍵詞BETA; Magnetohydrodynamik; Partielle Differentialgleichung; Plasmaeinschluss; Stability; Stellarator; magn
版次1
doihttps://doi.org/10.1007/978-1-4612-5240-5
isbn_softcover978-1-4612-9753-6
isbn_ebook978-1-4612-5240-5
copyrightSpringer-Verlag New York Inc. 1984
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Synopsis of the Method, to the full equations of motion [3, 37]. Denote the magnetic field by ., the fluid pressure by . and the mass density by .. We assume an equation of state of the form p = p. where γ is the gas constant. Let . stand for the potential energy of a torus of plasma and let . stand for the potential ener
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Finite Difference Scheme,]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian . based on a rectangular grid of mesh points over a unit cube of the space with coordinates ., . and .. We differentiate that formula with respect to nodal values of the unknowns ., ψ . and . in order to der
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The Mercier Criterion,axially symmetric equilibria suggest that modes with high . and ., including interchange modes, may be equally critical in the search for stable high pressure configurations [34]. They can be assessed via the Mercier criterion, which is concerned with modes localized about some rational surface [39]
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發(fā)表于 2025-3-22 13:12:29 | 只看該作者
Transport,tigate how our construction of magnetohydrodynamic equilibria in three dimensions can be coupled with an analysis of diffusion. One approach is the method of classical transport developed by Grad and Hogan through omission of inertia terms in the partial differential equations of magnetohydrodynamic
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