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Author: J. Killeen Publisher: Springer Science & Business Media ISBN: 3642859542 Category : Science Languages : en Pages : 208
Book Description
Because magnetically confined plasmas are generally not found in a state of thermodynamic equilibrium, they have been studied extensively with methods of applied kinetic theory. In closed magnetic field line confinement devices such as the tokamak, non-Maxwellian distortions usually occur as a result of auxiliary heating and transport. In magnetic mirror configurations even the intended steady state plasma is far from local thermodynamic equilibrium because of losses along open magnetic field lines. In both of these major fusion devices, kinetic models based on the Boltzmann equation with Fokker-Planck collision terms have been successful in representing plasma behavior. The heating of plasmas by energetic neutral beams or microwaves, the production and thermalization of a-particles in thermonuclear reactor plasmas, the study of runaway electrons in tokamaks, and the performance of two-energy compo nent fusion reactors are some examples of processes in which the solution of kinetic equations is appropriate and, moreover, generally necessary for an understanding of the plasma dynamics. Ultimately, the problem is to solve a nonlinear partial differential equation for the distribution function of each charged plasma species in terms of six phase space variables and time. The dimensionality of the problem may be reduced through imposing certain symmetry conditions. For example, fewer spatial dimensions are needed if either the magnetic field is taken to be uniform or the magnetic field inhomogeneity enters principally through its variation along the direction of the field.
Author: J. Killeen Publisher: Springer Science & Business Media ISBN: 3642859542 Category : Science Languages : en Pages : 208
Book Description
Because magnetically confined plasmas are generally not found in a state of thermodynamic equilibrium, they have been studied extensively with methods of applied kinetic theory. In closed magnetic field line confinement devices such as the tokamak, non-Maxwellian distortions usually occur as a result of auxiliary heating and transport. In magnetic mirror configurations even the intended steady state plasma is far from local thermodynamic equilibrium because of losses along open magnetic field lines. In both of these major fusion devices, kinetic models based on the Boltzmann equation with Fokker-Planck collision terms have been successful in representing plasma behavior. The heating of plasmas by energetic neutral beams or microwaves, the production and thermalization of a-particles in thermonuclear reactor plasmas, the study of runaway electrons in tokamaks, and the performance of two-energy compo nent fusion reactors are some examples of processes in which the solution of kinetic equations is appropriate and, moreover, generally necessary for an understanding of the plasma dynamics. Ultimately, the problem is to solve a nonlinear partial differential equation for the distribution function of each charged plasma species in terms of six phase space variables and time. The dimensionality of the problem may be reduced through imposing certain symmetry conditions. For example, fewer spatial dimensions are needed if either the magnetic field is taken to be uniform or the magnetic field inhomogeneity enters principally through its variation along the direction of the field.
Author: Stephen Jardin Publisher: CRC Press ISBN: 9781439810958 Category : Computers Languages : en Pages : 372
Book Description
Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces
Author: Karkenahalli Srinivas Publisher: Springer Science & Business Media ISBN: 3642581080 Category : Science Languages : en Pages : 263
Book Description
This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition. Consequently there is no Chapter 1 in this solutions manual. The solutions are indicated in enough detail for the serious reader to have little difficulty in completing any intermediate steps. Many of the problems require the reader to write a computer program to obtain the solution. Tabulated data, from computer output, are included where appropriate and coding enhancements to the programs provided in CTFD are indicated in the solutions. In some instances completely new programs have been written and the listing forms part of the solution. All of the program modifications, new programs and input/output files are available on an IBM compatible floppy direct from C.A.J. Fletcher. Many of the problems are substantial enough to be considered mini-projects and the discussion is aimed as much at encouraging the reader to explore ex tensions and what-if scenarios leading to further dcvelopment as at providing neatly packaged solutions. Indeed, in order to givc the reader a better intro duction to CFD reality, not all the problems do have a "happy ending". Some suggested extensions fail; but the reasons for the failure are illuminating.
Author: R. Glowinski Publisher: Springer Science & Business Media ISBN: 3540775064 Category : Mathematics Languages : en Pages : 507
Book Description
When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.
Author: Vladimir D. Liseikin Publisher: Springer Science & Business Media ISBN: 3540342362 Category : Science Languages : en Pages : 301
Book Description
The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. In an updated and expanded Second Edition, this monograph gives a detailed treatment based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces.
Author: Clive A.J. Fletcher Publisher: Springer Science & Business Media ISBN: 364258229X Category : Science Languages : en Pages : 412
Book Description
This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics. A solutions manual to the exercises is in preparation.
Author: Clive A.J. Fletcher Publisher: Springer Science & Business Media ISBN: 3642582397 Category : Science Languages : en Pages : 503
Book Description
The purpose and organisation of this book are described in the preface to the first edition (1988). In preparing this edition minor changes have been made, par ticularly to Chap. 1 (Vol. 1) to keep it reasonably current, and to upgrade the treatment of specific techniques, particularly in Chaps. 12-14 and 16-18. How ever, the rest of the book (Vols. 1 and 2) has required only minor modification to clarify the presentation and to modify or replace individual problems to make them more effective. The answers to the problems are available in Solutions Manual jor Computational Techniques jor Fluid Dynamics by K. Srinivas and C. A. J. Fletcher, published by Springer-Verlag, Heidelberg, 1991. The computer programs have also been reviewed and tidied up. These are available on an IBM compatible floppy disc direct from the author. I would like to take this opportunity to thank the many readers for their usually generous comments about the first edition and particularly those readers who went to the trouble of drawing specific errors to my attention. In this revised edi tion considerable effort has been made to remove a number of minor errors that had found their way into the original. I express the hope that no errors remain but welcome communication that will help me improve future editions. In preparing this revised edition I have received considerable help from Dr. K.
Author: Gary Cohen Publisher: Springer Science & Business Media ISBN: 366204823X Category : Science Languages : en Pages : 355
Book Description
"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003
Author: J. Killeen
Author: J. Killeen
Author: John Killeen
Author: 
Author: Stephen Jardin
Author: Karkenahalli Srinivas
Author: R. Glowinski
Author: Vladimir D. Liseikin
Author: Clive A.J. Fletcher
Author: Clive A.J. Fletcher
Author: Gary Cohen