Title :
Time-Domain Geometric Eddy-Current
Formulation for Hexahedral Grids
Author :
Codecasa, Lorenzo ; Dular, Patrick ; Specogna, Ruben ; Trevisan, Francesco
Author_Institution :
Dipt. di Elettron. ed Inf., Politec. di Milano, Milan, Italy
Abstract :
The aim of this paper is to present a 3-D time-domain eddy-current A formulation based on the discrete geometric approach (DGA) over unstructured and nonorthogonal hexahedral dual grids. The resulting differential algebraic system of equation, solved by means of a singly-diagonally implicit Runge-Kutta (SDIRK) variable step-size solver, leads to very accurate results at reduced computational costs, as shown by numerical analysis.
Keywords :
Runge-Kutta methods; eddy currents; numerical analysis; 3D time-domain eddy-current; differential algebraic system; discrete geometric approach; nonorthogonal hexahedral dual grids; numerical analysis; singly-diagonally implicit Runge-Kutta variable step-size solver; time-domain geometric eddy-current; unstructured hexahedral dual grids; Computational efficiency; Differential algebraic equations; Dissolved gas analysis; Eddy currents; Finite element methods; Helium; Maxwell equations; Moment methods; Numerical analysis; Time domain analysis; Cell method (CM); discrete geometric approach (DGA); eddy currents; finite integration technique (FIT); time domain;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2044766