Analytical computation and visualization of magnetic flux lines in 3-D space from hexahedral edge finite element results

This paper describes an analytical method for the computation of magnetic flux lines in three-dimensional (3-D) space from hexahedral edge finite element results and its visualization. Using the results obtained from the edge finite element analysis by hexahedral mesh and the magnetic flux line equation in 3-D space, the sequence of line segments that construct the magnetic flux line is computed as faithfully as possible. The features of the proposed method are short computation time and high accuracy, providing cheap and efficient computation. The procedure and three examples to present the usefulness of the proposed method are described.