摘要:

The reduced nonlinear low &bgr; tokamak magnetohydrodynamic equations are extended to the case of high &bgr;. A large aspect ratio ordering is used. The dynamics can be described using only three variables: the stream functions for the poloidal magnetic field and velocity, and the pressure. The equations are solved numerically to find two‐dimensional equilibria. These equilibria can be unstable to ballooning modes, which tend to grow to large amplitude in nonlinear, three‐dimensional computations.

ISSN:0031-9171    

DOI:10.1063/1.862018

出版商:AIP    

年代:1977

数据来源: AIP

摘要:

Axisymmetric tokamak equilibria of noncircular cross section are analyzed numerically to study the effects of flux surface shape and current profile on ideal and resistive interchange stability. Various current profiles are examined for circles, ellipses, dees, and doublets. A numerical code separately analyzes stability in the neighborhood of the magnetic axis and in the remainder of the plasma using the criteria of Mercier and Glasser, Greene, and Johnson. Results are interpreted in terms of flux surface averaged quantities such as magnetic well, shear, and the spatial variation in the magnetic field energy density over the cross section. The maximum stable &bgr; is found to vary significantly with shape and current profile. For current profiles varying linearly with poloidal flux, the highest &bgr;’s found were for doublets. Finally, an algorithm is presented which optimizes the current profile for circles and dees by making the plasma everywhere marginally stable.

ISSN:0031-9171    

DOI:10.1063/1.862019

出版商:AIP    

年代:1977

数据来源: AIP

摘要:

An approximation to the Maxwellian is developed which is analytic in the complex velocity plane and is characterized by four symmetric simple poles.

ISSN:0031-9171    

DOI:10.1063/1.862020

出版商:AIP    

年代:1977

数据来源: AIP

摘要:

The Gauss–Hertz principle when coupled with an accessory condition based on the assumption that fluid pressure is always positive is used to derive both well known flows such as Couette and Poiseuille, and the velocity and force fields of a magnetically confined plasma.

ISSN:0031-9171    

DOI:10.1063/1.862021

出版商:AIP    

年代:1977

数据来源: AIP

摘要:

The rate of energy loss by a charged particle moving in a turbulent plasma is considered using wave theory formalism, and the loss rate is calculated for the case of weak electrostatic turbulence.

ISSN:0031-9171    

DOI:10.1063/1.862022

出版商:AIP    

年代:1977

数据来源: AIP

摘要:

Finite Larmor radius and end effects are included in a treatment of the low‐&bgr; interchange instability. Higher order modes are shown to be destabilized by incomplete line‐tying through an external plasma.

ISSN:0031-9171    

DOI:10.1063/1.861997

出版商:AIP    

年代:1977

数据来源: AIP

ISSN:0031-9171    

DOI:10.1063/1.862023

出版商:AIP    

年代:1977

数据来源: AIP

ISSN:0031-9171    

DOI:10.1063/1.862024

出版商:AIP    

年代:1977

数据来源: AIP