TITLE

Moment-equation methods for calculating neoclassical transport coefficients in general toroidal plasmas

AUTHOR(S)
Sugama, H.; Nishimura, S.
PUB. DATE
April 2008
SOURCE
Physics of Plasmas;Apr2008, Vol. 15 Issue 4, p042502
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A detailed comparison is made between moment-equation methods presented by H. Sugama and S. Nishimura [Phys. Plasmas 9, 4637 (2002)] and by M. Taguchi [Phys. Fluids B 4, 3638 (1992)] for calculating neoclassical transport coefficients in general toroidal plasmas including nonsymmetric systems. It is shown that these methods can be derived from the drift kinetic equation with the same collision model used for correctly taking account of collisional momentum conservation. In both methods, the Laguerre polynomials of the energy variable are employed to expand the guiding-center distribution function and to obtain the moment equations, by which the radial neoclassical transport fluxes and the parallel flows are related to the thermodynamic forces. The methods are given here in the forms applicable for an arbitrary truncation number of the Laguerre-polynomial expansion so that their accuracies can be improved by increasing the truncation number. Differences between results from the two methods appear when the Laguerre-polynomial expansion is truncated up to a finite order because different weight functions are used in them to derive the moment equations. At each order of the truncation, the neoclassical transport coefficients obtained from the Sugama–Nishimura method show the Onsager symmetry and satisfy the ambipolar-diffusion condition intrinsically for symmetric systems. Also, numerical examples are given to show how the transport coefficients converge with the truncation number increased for the two methods.
ACCESSION #
31881478

 

Related Articles

  • Multiscale Motion in the Shear Band of Granular Couette Flow. Utter, Brian; Behringer, R. P. // AIP Conference Proceedings;7/1/2009, Vol. 1145 Issue 1, p339 

    We probe the nature of slow flow in the shear band of a 2D granular Couette experiment. The experiment consists of an inner shearing wheel, an outer circular boundary, and particles which occupy the space between these two. The mean flow is strictly azimuthal, maximal at the shearing wheel, and...

  • Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction. MARTINEC, ZDENĚK // Pure & Applied Geophysics;Sep2009, Vol. 166 Issue 8/9, p1167 

    A semi-analytical solution to the 2-D forward modelling of viscoelastic relaxation in a heterogeneous sphere induced by a surface toroidal force is derived. The model consists of a concentrically-nested elastic lithosphere, a viscoelastic mantle, and an eccentrically-nested viscoelastic core....

  • A New Alternating Segment Explicit-Implicit Scheme for One Dimensional Convection-Diffusion Equation. Haiming Gu; Qian Liu // Pure Mathematics;Nov2013, Vol. 3 Issue 6, p354 

    A new alternating segment explicit-implicit scheme for convection-diffusion equation was given and this scheme was proved to be unconditionally stable. This scheme can be used in parallel computation and the spatial accuracy rate is O(h4). A numerical experiment shows that this scheme has high...

  • Blow up of the nonclassical diffusion equation. Haitao Song; Chengkui Zhong // Journal of Mathematical Physics;Apr2009, Vol. 50 Issue 4, p042702 

    In this paper, we consider the blow up phenomenon of the nonclassical diffusion equation. Under suitable conditions on the initial data, we prove a finite time blow up result.

  • Two-dimensional convective diffusion of a radioactive impurity with allowance for sorption in a porous medium. Zhemzhurov, M. L.; Serebryanyi, G. Z. // Journal of Engineering Physics & Thermophysics;May2008, Vol. 81 Issue 3, p438 

    A mathematical model of the two-dimensional convective diffusion of radionuclide transfer in a porous medium has been considered. A fundamental solution in the form of Green's function has been obtained for this model. The analytical expressions of the impurity-concentration distribution for...

  • SOME RECENT RESULTS ON THE PROPAGATION OF THE FAILURE FRONT ASSOCIATED WITH ROD PENETRATION OF BOROSILICATE GLASS. Orphal, Dennis L. // AIP Conference Proceedings;12/28/2009, Vol. 1195 Issue 1, p1425 

    Recent results obtained regarding the failure front (FF) associated with rod penetration of borosilicate glass (BS) are reviewed. Key results are: propagation velocity of the FF, vF, decreases rapidly after impact to an approximately constant value; vF increases with rod impact velocity, vP; vF...

  • Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density. Voraka, P.; Meleshko, S. // Continuum Mechanics & Thermodynamics;Feb2009, Vol. 20 Issue 7, p397 

    Group analysis provides a regular procedure for mathematical modeling by classifying differential equations with respect to arbitrary elements. This article presents the group classification of one-dimensional equations of fluids, where the internal energy is a function of the density and the...

  • On the appearance of a convective toroidal vortex in Lake Baikal. Balkhanov, V. K.; Bashkuev, Yu. B. // Technical Physics;Nov2013, Vol. 58 Issue 11, p1582 

    Warm natural gas floating up from the bottom of Lake Baikal causes convection in the water column in the form of a toroidal body of revolution—toroidal vortex. The giant convection, several kilometers in size, arises once the Rayleigh number achieves a critical value (1000–2000). A...

  • Dynamical toroidal Hopfions in a ferromagnet with easy-axis anisotropy. Borisov, A. B.; Rybakov, F. N. // JETP Letters;Dec2009, Vol. 90 Issue 7, p544 

    Three-dimensional toroidal precession solitons with a nonzero Hopf index, which uniformly move along the anisotropy axis in a uniaxial ferromagnet, have been found. The structure and existence region of the solitons have been numerically determined by solving the Landau-Lifshitz equation.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics