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A generalized Grad-Shafranov equation with plasma flow under a conformal coordinate transformation (1808.07291v1)

Published 22 Aug 2018 in physics.plasm-ph

Abstract: We employ a conformal mapping transformation to solve a generalized Grad-Shafranov equation with incompressible plasma flow of arbitrary direction and construct particular up-down asymmetric D-shaped and diverted tokamak equilibria. The proposed method can also be employed as an alternative quasi-analytic method to solving two dimensional elliptic partial differential equations.

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