Eur. Phys. J. Appl. Phys. (2015) 73: 30902
https://doi.org/10.1051/epjap/2016150373

Regular Article

A Lagrangian form for the T – Ω formulation^*

Université de Lorraine, LEMTA, 2 avenue de la forêt de Haye, 54518 Vandoeuvre-lès-Nancy, France

^a e-mail: gerard.vinsard@univ-lorraine.fr

Received: 20 July 2015
Revised: 21 October 2015
Accepted: 16 February 2016
Published online: 22 March 2016

Abstract

A Lagrangian form for the T – Ω formulation using the Rayleigh function to take into account Joule losses is presented. Its use gives an interesting insight when calculating induced currents in non simply connected regions.