A mixed finite-difference/Whitney-elements time-domain (PD/WE-TD) method is proposed for the analysis of transient electromagnetic field problems. The method consists in discretizing the spatial region in two parts composed respectively by structured and unstructured elements. In the structured mesh Maxwell's curl equations are numerically solved by Yee's algorithm while in the unstructured mesh the wave equation is solved in terms of electric field by the WETD method. The proposed method leads to an explicit-implicit solution scheme which is convenient to model curved boundaries and complex configurations without a significant increase of the computational cost with respect to the basic FDTD method. The FD/WE-TD method is a valid alternative of the subgridding algorithms and nonuniform grid models used in the FDTD calculations. The nonphysical wave reflection introduced by the finite elements is calculated for simple canonical configurations.
Mixed finite-difference/Whitney-elements time domain (FD/WE-TD) method / M., Feliziani; Maradei, Francescaromana. - In: IEEE TRANSACTIONS ON MAGNETICS. - ISSN 0018-9464. - STAMPA. - 34:5(1998), pp. 3222-3227. (Intervento presentato al convegno 11th Conference on the Computation of Electromagnetic Fields (COMPUMAG) tenutosi a RIO JANEIRO, BRAZIL nel NOV 01-03, 1997) [10.1109/20.717756].
Mixed finite-difference/Whitney-elements time domain (FD/WE-TD) method
MARADEI, Francescaromana
1998
Abstract
A mixed finite-difference/Whitney-elements time-domain (PD/WE-TD) method is proposed for the analysis of transient electromagnetic field problems. The method consists in discretizing the spatial region in two parts composed respectively by structured and unstructured elements. In the structured mesh Maxwell's curl equations are numerically solved by Yee's algorithm while in the unstructured mesh the wave equation is solved in terms of electric field by the WETD method. The proposed method leads to an explicit-implicit solution scheme which is convenient to model curved boundaries and complex configurations without a significant increase of the computational cost with respect to the basic FDTD method. The FD/WE-TD method is a valid alternative of the subgridding algorithms and nonuniform grid models used in the FDTD calculations. The nonphysical wave reflection introduced by the finite elements is calculated for simple canonical configurations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.