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An asymptotic preserving scheme for the streamer simulation

pubblicazioni - Articolo

An asymptotic preserving scheme for the streamer simulation

In questo lavoro descriviamo lo sviluppo di un simulatore affidabile del fenomeno dello Streamer.

In this work we describe the development of a robust simulator of the streamer phenomenon. A very common problem of computational plasma physics is the stability of the numerical schemes when the quasi-neutral regime is approached. In particular the stability condition may imply very tight time step constraints. We prove, both numerically and analytically, the good behavior of the numerical scheme when the system approaches the quasi-neutral regime. In particular, the semi-implicit approach we employ requires mild time step restrictions to guarantee the stability of the scheme. Some other properties such as the positivity of the scheme are investigated and a detailed review of the numerical implementation is included.

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