A 3-D Cell Method Formulation for Coupled Electric and Thermal Problems

Author

Bullo, Marco ; Ambrosio, Valentina D´ ; Dughiero, Fabrizio ; Guarnieri, Massimo

Author_Institution

Dipt. di Ingegneria Elettrica, Universita degli Studi di Padova, Padua

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1197

Lastpage

1200

Abstract

A finite formulation is presented for the solution of coupled problems of steady-state electric and transient thermal conductions in 3-D regions. The model is based on the cell method approach and takes advantage of the very agile algebraic formulations that it can provide for field theories. Dual barycentric cell complexes are used for both space and time domains, the latter inducing a Crank-Nicolson time integration scheme. An example of application is given, consisting in the simulation of a treatment for the thermal ablation of liver cancer. Comparisons are given with a commercial finite-element method program

Keywords

algebra; electromagnetic fields; finite element analysis; heat conduction; time-domain analysis; 3D cell method formulation; Crank-Nicolson time integration scheme; algebraic formulation; coupled electric problems; dual barycentric cell complex; finite element method program; finite formulation; liver cancer; space domains; steady-state electric regions; thermal ablation; thermal problems; time domains; transient thermal conduction regions; Cancer; Electrodes; Electromagnetic coupling; Geometry; Liver; Radio frequency; Temperature; Thermal conductivity; Tumors; Voltage; Cell method (CM); coupled problems; finite formulation; hyperthermic treatments;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.890955

Filename

4137677