Optimization of computational MHD normal-mode analysis for tokamaks

A set of MHD equations that are optimized for specific tokamak conditions is derived and implemented in the new ideal-MHD code MISHKA-1. The numerical scheme is based on the Galerkin method (which solves the equations in their weak form) and allows the study of problems that are described by nonself-adjoint Mi-ID operators. Consequently, the MISHKA-1 code call be improved to describe non-ideal MHD effects including drift and neoclassical and other essentially kinetic effects that ale important for the stability of high temperature plasmas. The new ideal MHD code described in this paper can be treated as a first step toward a ''generalized MHD'' code for a set of moment equations for ion and electron distribution functions in different collisionality plasmas.