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Articolo RSE 16004353

An implicit three-dimensional fractional step method for the simulation of the corona phenomenon

Articolo

Applied Mathematics and Computation, vol. 311, pp. 85-992017.

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R. Leon-Garzon (Politecnico di Milano), A. Barbareschi Villa (RSE SpA), L. Barbieri (RSE SpA), M. Gondola (RSE SpA) , R. Malgesini (RSE SpA)

MON4-GRID 2016 - Management, monitoring and control of the transmission grid

The modeling of the corona e¿ect has many technological applications especially in the power industry.

The modeling of the corona e¿ect has many technological applications especially in the power industry. The reduction of the computational burden of three dimensional simulations is a key factor in this area. Stability requirements may impose unacceptable constraints in three dimensions leading to huge computational costs.

In this paper we develop an e¿ective time-splitting method that remains stable and positive even when relatively large time steps and coarse meshes are used. We analyze the theoretical properties of the method and we validate our approach against already published experimental data.