Abstracts - Dipartimento di Elettronica Applicata

Meta 2010 & FEM 2010 – Rome, 13-15 December 2010
Large scale computation
for source integral equations
G. Rubinacci (1) , A. Tamburrino (2) and S. Ventre (2)
(1) Università di Napoli Federico II, Dipartimento di Ingegneria Elettrica, v.
Claudio 21, Napoli, 80125, Italy, e-mail: rubinacci@unina.it
(2) Università di Cassino, DAEIMI, v. G. Di Biasio 43, Cassino, 03043, Italy, email:
tamburrino@unicas.it, ventre@unicas.it.
The electromagnetic modeling of electromagnetic devices is an important
issue in view of their design. This topic is particularly relevant in many
important applications ranging from the design of large electrical turbogenerators
to electrical transformers for specific applications and micro and
nano-devices. As a matter of fact, nowadays, the complexity of threedimensional
geometries, the presence of parts in motion, the nonlinear
ferromagnetic material properties, require numerical models that can be ran on
high performances computers such as those available in the frame of parallel
architectures. Another critical field of application is the design of micro and
nano electromagnetic devices like, for instance, arrays of resonant metallic
nanoparticles for sensing applications. The mathematical models describing
the behavior of their interaction is still classic and it is represented by fullwave
Maxwell equations with proper constitutive relationships. However, as
for an array of nanoparticles, the number of scatterers (and hence the elements
of the mesh) easily saturate the limits of a serial computation.
In this context, we will discuss some results [1]-[4] of interest in the field of
large scale computation based on source integral equations. The proposed
numerical formulations use three-dimensional models of the electric
(conduction and/or polarization) and magnetic sources in the presence of
conductors and magnetic materials [5] or conductors and dielectrics [2]. The
fast and efficient resulting numerical codes are based on a recursive SVD
sparsification of the main (fully populated) stiffness matrix combined with
parallelization.
References
[1] R. Albanese et al., “Electromechanical Analysis of End Windings in Turbo Generators”,
proc. of the 14th International IGTE Symposium 2010, 19-22 September 2010, Graz
(Austria).
[2] L. Dal Negro, G. Miano, G. Rubinacci, A. Tamburrino, S. Ventre, "A fast computation
method for the analysis of an array of metallic nanoparticles," IEEE Trans. on Magnetics,
vol. 45, no. 3, pp. 1618-1621, March 2009.
[3] G. Rubinacci, S. Ventre, F. Villone, Y. Liu. A fast technique applied to the analysis of
Resistive Wall Modes with 3D conducting structures,. J. Comp. Phys., 228(5), p 1562-
1572, 2009
[4] G. Rubinacci, R. Fresa, S. Ventre, “An eddy current integral formulation on parallel
computer systems”, International Journal for Numerical Methods in Engineering, vol. 62,
n. 9, (2004).
[5] R. Albanese, G. Rubinacci, “Finite element methods for the solution of 3D eddy current
problems”, Advances in Imaging and Electron, vol. 102, (1990).
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