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S. McFee J. P. Webb D. A. Lowther CADLab Dept. of Electrical Engineering McGill University |
A Tunable Volume Integration Formulation for Force Calculation in Finite-Element Based Computational MagnetostaticsA generalized formulation for net magnetostatic loading force calculation is derived from the Maxwell stress expression. The new formulation yields a combined surface and volume integration method based on the magnetic flux density and an arbitrary scalar function g. The most interesting feature of the new technique is its flexibility. For one choice of g, the method reduces to a distributed Maxwell stress scheme. For another, it yields a generalized version of the Coulomb virtual work implementation. Further, through the introduction of an intelligent g-fuction based on local field-error, the new formulation yields a fully automatic method suitable for extracting accurate and consistent forces from imperfect numerical soutions. Te new method is implemented for two-dimmensional first-order finite-elements, and two illustrative test problems are analyzed. Finally, the performance of the new automatic scheme is compared to the Maxwell stress and Coulomb approaches. |
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