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The DELiTE (Differential Equations on Linear Triangular Elements) frameworkwas developed for spatial discretisation of partial differential equations onan unstructured triangular grid in axisymmetric geometry. The framework isbased on discrete differential operators in matrix form, which are derivedusing linear finite elements and mimic some of the properties of theircontinuous counterparts. A single-fluid two-temperature MHD code is implementedin this framework. The inherent properties of the operators are used in thecode to ensure global conservation of energy, particle count, toroidal flux,and angular momentum. The code was applied to study a novel experiment in whicha compact torus (CT), produced with a magnetized Marshall gun, is magneticallylevitated off an insulating wall and then magnetically compressed through theaction of currents in the levitation/compression coils located outside thewall. We present numerical models for CT formation, levitation, and magneticcompression, and comparisons between simulated and experimental diagnostics.

A globally conservative finite element MHD code and its application to the study of compact torus formation, levitation and magnetic compression