Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking

The tracking of magnetic field lines can be very expensive, in terms of computational burden, when the field sources are numerous and have complex geometries, especially when accuracy is a priority, because an evaluation of the field is required in many situations. In some important applications, the computational cost can be significantly reduced by using a suitable approximation of the field in the integrated regions. This paper shows how Chebyshev polynomials are well-suited for field interpolation in magnetic field-line tracking, then discusses the conditions in which they are most appropriate, and quantifies the effectiveness of parallel computing in the approximation procedures

Three-dimensional evaluation of the connection lengths in a Tokamak

The computation of the Connection Length is a demanding task when 3D complex magnetic sources have to be considered. The field approximation tools provide a valuable contribution to reduce the computational burden while preserving a high precision standard. The methodology, applied to the DTT facility, shows the negligible impact of the 3D toroidal ripple