A tokamak pertinent analytic equilibrium with plasma flow of arbitrary direction

TL;DR

This paper derives an analytic equilibrium solution for tokamak plasmas with arbitrary flow directions, enabling detailed modeling of plasma behavior in fusion devices.

Contribution

It presents a novel analytic solution to the generalized Grad-Shafranov equation incorporating arbitrary plasma flow directions.

Findings

Constructed a D-shaped tokamak equilibrium with sheared flow

Provided a generalized solution applicable to various flow configurations

Enhanced understanding of plasma equilibrium with complex flow patterns

Abstract

An analytic solution to a generalized Grad-Shafranov equation with flow of arbitrary direction is obtained upon adopting the generic linearizing ansatz for the free functions related to the poloidal current, the static pressure and the electric field. Subsequently, a D-shaped tokamak pertinent equilibrium with sheared flow is constructed using the aforementioned solution.