Formulation of the Two-Dimensional Heat Transport Equation in Tokamak Plasmas

Abstract

It is desirable to self-consistently describe two-dimensional transport in a whole tokamak plasma including both core and peripheral regions, since the pedestal region lying between the core and peripheral regions strongly affects the confinement property of the core plasma. The set of two-dimensional transport equations with poloidal angle dependence has been formulated from Braginskii’s multi-fluid equations and the neoclassical transport theory and has been coupled with electromagnetic equations in order to develop a two-dimensional transport simulation code TASK/T2. The set of transport equations consists of equations of the particle density and the momentum (radial, parallel, and toroidal), and the heat transport equation, which provide the consistent description of transport phenomena through the whole region. In this paper, we focus on the derivation of the heat transport equation.