A semi-analytical solver for the Grad-Shafranov equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Cylindrical Grad-shafranov Equation

An activity of many compact objects – Active Galactic Nuclei (AGNs), Young Stellar Objects (YSOs), microquasars – is associated with the highly collimated jets. These jets are thought to be a natural outlet of an excess angular momentum of a central object and accreting matter [1]. The latest observations indicating the jet rotation in AGNs [2] and YSOs [3] support this idea. The most attractiv...

متن کامل

Theory of perturbed equilibria for solving the Grad-Shafranov equation

The theory of perturbed magnetohydrodynamic equilibria is presented for di erent formulations of the tokamak equilibrium problem. For numerical codes, it gives an explicit Newton scheme for solving the Grad-Shafranov equation subject to di erent constraints. The problem of stability of axisymmetric modes is shown to be a particular case of the equilibrium perturbation theory.

متن کامل

Solving the Grad-Shafranov equation with spectral elements

The development of a generalized two dimensional MHD equilibrium solver within the nimrod framework [1] is discussed. Spectral elements are used to represent the poloidal plane. To permit the generation of spheromak and other compact equilibria, special consideration is given to ensure regularity at the geometric axis. The scalar field Λ = ψ/R is used as the dependent variable to express the Gr...

متن کامل

Comment on "Solitonlike solutions of the Grad-Shafranov equation".

In the above entitled recent publication by Giovanni Lapenta [Phys. Rev. Lett. 90, 135005 (2003) ] it is claimed construction of a new class of solitonlike solutions for the Grad-Shafranov equation in plane geometry. It is proved here that, because of the mathematically erroneous choice∇p = |Ψ|Ψ∇Ψ for an analytic continuation of the poloidal magnetic flux-function Ψ in the complex plane (p is t...

متن کامل

A Family of Analytic Equilibrium Solutions for the Grad-Shafranov Equation

A family of exact solutions to the Grad-Shafranov equation, similar to those described by Atanasiu et al. [C. V. Atanasiu, S. Günter, K. Lackner, I. G. Miron, Phys. Plasmas 11 3510 (2004)], is presented. The solution allows for finite plasma aspect ratio, elongation and triangularity, while only requiring the evaluation of a small number of well-known hypergeometric functions. Plasma current, p...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physics of Plasmas

سال: 2014

ISSN: 1070-664X,1089-7674

DOI: 10.1063/1.4901036