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Plasma equilibria and stationary flows in axisymmetric systems. Pt. 3

Technical Report:

Abstract

The problem of the importance of poloidal flows for the behaviour of plasmas in axisymmetric systems has caused a lot of discussion and controversy during the last 15 years. There is no doubt that the mere existence of poloidal flow transforms the elliptic Grad-Shafranov-Schlueter equation into a system of mixed type partial differential equation and an algebraic multivalued Bernoulli equation. This fact leads to the appearance of Bernoulli branches in the solutions. Then, one can come across three branches of elliptic solutions as well as two branches of hyperbolic solutions with the possible appearance of phenomena connected with ``transsonic`` effects. Problems connected with such a mathematical situation have been extensively discussed in the report with the same title, dated May 1988, which we shall call later Part I of our studies on this subject. The present report, considered as Part III, is devoted to the presentation of results of efforts aimed at constructing programmes which allow us to solve the extended Grad-Shafranov-Schlueter equation (EGSS) (with stationary flows) in a more realistic situation relevant to the JET operating conditions. The main problem is to specify for a wider class of profiles the boundary conditions at the magnetic axis for a system  More>>
Publication Date:
Aug 01, 1990
Product Type:
Technical Report
Report Number:
JET-R-91-05
Reference Number:
SCA: 700310; PA: AIX-23:010132; SN: 92000620017
Resource Relation:
Other Information: DN: Final report on research study performed at the RCC CYFRONET of the Inst. of Atomic Energy, Otowock-Swierk (PL).; PBD: Aug 1990
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; FLUID FLOW; MHD EQUILIBRIUM; PLASMA FLUID EQUATIONS; JET TOKAMAK; PLASMA INSTABILITY; PLASMA SIMULATION; COMPUTERIZED SIMULATION; AXIAL SYMMETRY; BERNOULLI LAW; F CODES; NUMERICAL SOLUTION; POLOIDAL FIELD DIVERTORS; 700310; PLASMA CONFINEMENT
OSTI ID:
10104190
Research Organizations:
Commission of the European Communities, Abingdon (United Kingdom). JET Joint Undertaking
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Other: ON: DE92613201; CNN: Contract JA8/00516; TRN: GB9104811010132
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
GBN
Size:
109 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Zelazny, R, Stankiewicz, R, Galkowski, A, Potempski, S, and Pietak, R. Plasma equilibria and stationary flows in axisymmetric systems. Pt. 3. United Kingdom: N. p., 1990. Web.
Zelazny, R, Stankiewicz, R, Galkowski, A, Potempski, S, & Pietak, R. Plasma equilibria and stationary flows in axisymmetric systems. Pt. 3. United Kingdom.
Zelazny, R, Stankiewicz, R, Galkowski, A, Potempski, S, and Pietak, R. 1990. "Plasma equilibria and stationary flows in axisymmetric systems. Pt. 3." United Kingdom.
@misc{etde_10104190,
title = {Plasma equilibria and stationary flows in axisymmetric systems. Pt. 3}
author = {Zelazny, R, Stankiewicz, R, Galkowski, A, Potempski, S, and Pietak, R}
abstractNote = {The problem of the importance of poloidal flows for the behaviour of plasmas in axisymmetric systems has caused a lot of discussion and controversy during the last 15 years. There is no doubt that the mere existence of poloidal flow transforms the elliptic Grad-Shafranov-Schlueter equation into a system of mixed type partial differential equation and an algebraic multivalued Bernoulli equation. This fact leads to the appearance of Bernoulli branches in the solutions. Then, one can come across three branches of elliptic solutions as well as two branches of hyperbolic solutions with the possible appearance of phenomena connected with ``transsonic`` effects. Problems connected with such a mathematical situation have been extensively discussed in the report with the same title, dated May 1988, which we shall call later Part I of our studies on this subject. The present report, considered as Part III, is devoted to the presentation of results of efforts aimed at constructing programmes which allow us to solve the extended Grad-Shafranov-Schlueter equation (EGSS) (with stationary flows) in a more realistic situation relevant to the JET operating conditions. The main problem is to specify for a wider class of profiles the boundary conditions at the magnetic axis for a system of nonlinear ordinary differential equations ODE, resulting from EGSS equation after application of Fourier transformation techniques and of inverse method approach. The present report elaborates a much more general case and describes the computational framework enabling us to derive those boundary conditions. (author).}
place = {United Kingdom}
year = {1990}
month = {Aug}
}