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Author Hsu, S. C. ♦ Artun, M. ♦ Cowley, S. C.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PLASMA PHYSICS AND FUSION ♦ TOKAMAK DEVICES ♦ MHD EQUILIBRIUM ♦ ASPECT RATIO ♦ BOUNDARY LAYERS ♦ COMPUTER CODES ♦ GRAD-SHAFRANOV EQUATION ♦ HIGH-BETA PLASMA ♦ PLASMA CONFINEMENT ♦ PLASMA PRESSURE
Abstract The validity of the analytic large aspect ratio, high-{Beta} equilibria developed by Cowley {ital et al}. [Phys. Fluids B {bold 3}, 2066 (1991)] is extended to include finite aspect ratio equilibria with {ital q}{sup 2}{much_lt}1, where {ital q} is the safety factor. These high-{Beta} equilibria have two regions. Most of the volume lies in the {open_quote}{open_quote}core region,{close_quote}{close_quote} where {psi}={psi}({ital R}). The flux surfaces close in the {open_quote}{open_quote}boundary layer region,{close_quote}{close_quote} which has thickness {delta}. The solutions are valid when {delta}/{ital a}{approximately}O({radical}{epsilon}/{Beta}{ital q}{sup 2}) is small, where {ital a} is the minor radius. Thus, finite {epsilon} is allowed when {ital q}{sup 2} is large. The equilibria are completely specified by the midplane profiles of pressure {ital p}({ital R}) and poloidal magnetic field {ital B}{sub {ital P}}({ital R}) and the shape of the plasma boundary, all of which can be measured experimentally. Note the departure from customary specification of {ital p}({psi}), {ital q}({psi}), or {ital F}({psi}). A fast numerical code, requiring a few seconds to execute, has been written to compute and illustrate the analytic high-{Beta} equilibria. The qualitative features of high-{Beta}{sub {ital P}} tokamaks are discussed in detail. {copyright} {ital 1996 American Institute of Physics.}
ISSN 1070664X
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-01-01
Publisher Place United States
Journal Physics of Plasmas
Volume Number 3
Issue Number 1


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