2 edition of **computation of multipole MHD equilibria in axisymmetric and straight geometry.** found in the catalog.

computation of multipole MHD equilibria in axisymmetric and straight geometry.

C Ll Thomas

- 175 Want to read
- 29 Currently reading

Published
**1979**
by Culham Laboratory, [distributed by] H.M.S.O. in Abingdon, Oxon, [London]
.

Written in English

**Edition Notes**

Series | CLM-R 166 |

Contributions | Culham Laboratory. |

The Physical Object | |
---|---|

Pagination | 18, A1-A16p., (4)p. of plates : |

Number of Pages | 18 |

ID Numbers | |

Open Library | OL19915721M |

ISBN 10 | 0853110786 |

A particular feature of kinetic-MHD is that a momentum equation parallel to the magnetic field is not required, so the below equilibrium derivation starts from kinetic theory, and thus does not impose from the start the parallel momentum equation of ideal MHD. MHD rotating equilibriaAuthor: J. P. Graves, Christer Wahlberg. Detailed derivation of axisymmetric double adiabatic MHD equilibria with general plasma flow. Roberto A. Clemente Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas , Campinas, São Paulo, Brazil. Ricardo L. Viana Departamento de Física, Universidade Federal do Paraná , Curitiba, Paraná, Brazil.

DOE PAGES Journal Article: The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma. The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma. Full Record; References . We present an adaptive fast multipole method for solving the Poisson equation in two dimensions. The algorithm is direct, assumes that the source distribution is discretized using an adaptive quad-tree, and allows for Dirichlet, Neumann, periodic, and free-space conditions to be imposed on the boundary of a square. The amount of work per grid point is comparable to that Cited by:

Section 1. Introduction. DCON is a code for determining the MHD stability of static axisymmetric toroidal plasma. It uses a very efficient algorithm, originally developed by Newcomb [W. A. Newcomb, Ann. Phys. 10, ()] for cylindrical plasmas and generalized by myself to axisymmetric plasmas. The Computation of ;Resistive MHD Instabilities in Axisymmetric Toroidal Plasmas: C. Z. Cheng, S. C. Jardin: Duvall, Robert E. Topics in Action-Angle Methods Applied to Tokamak Transport and Multiphoton Excitation of Atomic Systems: H. E. Mynick: Powell, Edward T. Plasma Equilibrium Modification Measurements with the PBX-M Soft X-ray Pinhole.

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The considered geometry is that of Fig. 1 in which a cross-section of an axisym- metric toroidal tokamak is shown. The axis of symmetry is the Z-axis and the ignorable angle is φ. 0 and aare called the major axis and minor axis of the tokamak. 0 is the inverse aspect ratio, κthe elongation and δthe triangularity.

In this chapter, the MHD equilibrium theory is outlined. We first describe the straight-field-line flux coordinates, the Grad–Shafranov equation, and the Green function method for the vacuum solution. Next, the Solovév solution and the equilibrium at the separatrix are described.

Ideal MHD stability calculations in axisymmetric toroidal coordinate systems☆. Abstract. A scalar form of the ideal MHD energy principle is shown to provide a more accurate and efficient numerical method for determining the stability of an axisymmetric toroidal equilibrium than the usual vector by: Thus the axisymmetric plasma MHD-equilibrium is determined by the solution of the quasilinear elliptic eqs.

(), (). Now let us consider the ways of giving the functions p(#), f(JI) and boundary value conditions. Equilibrium problem with given p(I/J), f (4). III. THE NOVA-R FORMULATION A. Equilibria Equilibria are constrained to satisfy J x B = VP, V x B = J, V B = 0. Magnetic coordinates have been used extensively in the literature to represent MHD equilibria [].

Our com- putation uses straight field line magnetic flux coordinates, given by (i/^, 0, i,).Cited by: 4. Volumenumber 8,9 PHYSICS LETFERS A 18 May ANALYTIC, AXISYMMETRIC MHD SPHEROMAK TYPE EQUILIBRIA IN PARABOLIC COORDINATES G.N.

THROUMOULOPOULOS and G. PANTIS Division of Theoretical Physics, Department of Physics, University of by: 1. Computation of the MHD equilibrium of a tokamak plasma is reviewed as comprehensively as possible.

The basic equation of this problem is the Grad-Shafranov equation. Solutions are given for axisymmetric MHD-equilibria obtained by superposing the magnetic field of the plasma currents and the field of current-carrying conductors situated outside the plasma.

Axisymmetric Ideal MHD equilibria with Toroidal Flow ort July Abstract The Grad-Shafranov equation for static ideal MHD equilibria is ex-panded to incorporate toroidal ow.

The relation with two-uid and ki-netic models is elaborated on. A speci c class of analytical solutions and its characteristics is discussed. Contents. The most significant new features of this stability study are that the calculation is interfaced with a general numerical magnetohydrodynamic equilibrium, and that it is fully electromagnetic.

Magnetohydrodynamic (MHD) equilibrium states with imposed axisymmetric boundary are computed in which a spontaneous bifurcation develops to produce an internal three-dimensional (3D) configuration. 30P1S A novel solution for the computation of three-dimensional ideal-MHD equilibria with current sheets at resonant surfaces Loizu, J.

31P1S Expansion of Non-Symmetric Toroidal Ideal MHD Equilibria About a Magnetic Axis Weitzner, H. 32P1S Modeling of Island Divertor Plates in the Compact Toroidal Hybrid Hartwell, G.J. The equilibrium of an axisymmetric magnetically confined plasma with anisotropic electrical conductivity and flows parallel to the magnetic field is investigated within the framework of the MHD.

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WYSOCKI AND R. GRIMN^ Plasma Physics Laboratory, Princeton University, Princeton, New Jersey Received Octo ; revised Janu DEDICATED TO THE Cited by: 3. In this study two different meshfree methods are applied to solve the fixed boundary Grad–Shafranov (GS) equation for the axisymmetric equilibrium of tokamak plasma.

The first method is Radial Basis Functions (RBFs) and the second one is Moving Least Square Method Cited by: 5. MHD Simulations for Fusion Applications Lecture 2 Diffusion and Transport in Axisymmetric Geometry Stephen C.

Jardin Princeton Plasma Physics Laboratory CEMRACS ‘10 Marseille, France. J 1. () ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria. Computer Physics Communications() A Volume Integral Equation Stokes Solver for Problems with Variable by: @article{osti_, title = {Computation of resistive instabilities by matched asymptotic expansions}, author = {Glasser, A.

and Wang, Z. and Park, J. -K.}, abstractNote = {Here, we present a method for determining the linear resistive magnetohydrodynamic (MHD) stability of an axisymmetric toroidal plasma, based on the method of matched asymptotic expansions.

Inverse Equilibrium Equation. Diffusion and Transport in Axisymmetric Geometry. Introduction. Basic Equations and Orderings. Equilibrium Constraint. Time Scales. Numerical Methods for Parabolic Equations. Introduction. One Dimensional Diffusion Equations.

Multiple Dimensions. Methods of Ideal MHD Stability Analysis. Introduction. Basic. We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD and Taylor relaxation, and which we call MRXMHD.

The model is compatible with Hamiltonian chaos theory and allows the three-dimensional MHD equilibrium problem to be Cited by: Numerical calculation of axisymmetric non-neutral plasma equilibria Ross L.

Spencer, S. N. Rasband, and Richard R. Vanfleet Department of Physics and Astronomy, Brigham Young University, Provo, Utah (Received 7 May ; accepted 9 August ).ECOM (Equilibrium solver via COnformal Mapping) is a fast and accurate fixed boundary solver for toroidally axisymmetric magnetohydrodynamic equilibria with or without a toroidal flow.

ECOM has been developed to provide equilibrium quantities and details of the flux contour geometry as inputs to stability, wave propagation and transport codes.