The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low beta Solovev and high beta plasma equilibria in terms of elementary functions.
机构:
Chonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea
Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 561756, South KoreaChonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea
Cho, Yonggeun
Lee, Sanghyuk
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Seoul Natl Univ, Dept Math Sci, Seoul 151747, South KoreaChonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea