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arXiv · 2411.10876

New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution

A. I. Kuiroukidis·D. A. Kaltsas·G. N. Throumoulopoulos
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Abstract

We construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing ansatz for the free-function terms of the equation and expanding the generalized Solov'ev solution [Ch. Simintzis, G. N. Throumoulopoulos, G. Pantis and H. Tasso, Phys. Plasmas {\bf 8}, 2641 (2001)]. On the basis of these solutions, we examine how the genaralized Solov'ev configuration is modified as the values of the free parameters associated with the additional pressure, poloidal-current and electric-field terms are changed. Thus, a variety of equilibria of tokamak, spherical tokamak and spheromak pertinence are constructed, including D-shaped configurations with positive and negative triangularity and diverted configurations with either a couple of X-points or a single X-point.

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A. I. Kuiroukidis, D. A. Kaltsas, G. N. Throumoulopoulos. 2024-11-16. New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution. https://doi.org/10.1063/5.0249174

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