Inclusion of diamagnetic drift effect in the matching method using finite-width inner region for stability analysis of magnetohydrodynamic modes

2012 
A matching method using a finite-width inner region is extended for stability analysis of magnetohydrodynamic mode including diamagnetic drift effect. The inclusion of the diamagnetic drift effect is accomplished by a newly developed ordering scheme in the outer region. The ordering scheme enables us to derive a hierarchy of generalized Newcomb equations. Higher-order equations give us correction of outer solution due to the diamagnetic drift effect as well as inertia and resistivity. By this correction, the accuracy of the dispersion relation is improved. Several numerical results are presented to demonstrate good performance of the matching method. Dropping the diamagnetic drift effect in the outer region leads to less accurate results.
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