Mesh dependent stability of discretization of the streamer equations for very high electric fields

@inproceedings{Villa2014MeshDS,
  title={Mesh dependent stability of discretization of the streamer equations for very high electric fields},
  author={Andrea Villa and Luca Barbieri and Marco Gondola and Andres R. Leon-Garzon and Roberto Malgesini},
  year={2014}
}
Abstract The simulation of streamer evolution has many technological applications ranging from pollution reduction to surface treatments. In this paper we study an instability that may affect the discretized form of the streamer model when a very high electric field is considered and when a representative finite volume method is used. It is shown that the instability is caused by the advection–reaction terms that represent the transport and the production of electrons. It is proved that the… CONTINUE READING