Computer simulation of rapidly developing gaseous discharges

On the modeling of the production and drift of carriers in cyclohexane

“…This leads to the overestimation of the electron density in areas away, and the underestimation of the negative ion density in the region close to the cathode. In turn, if the attachment term A in (1) is defined as a function of electric field as in gas discharge simulations [13], a slightly worse agreement is found between the calculations and the measurement (Fig. 1).…”

“…The continuity equations describing the growth of the density of charged carriers (electrons  e , positive ions  p and negative ions  n ) in a liquid (as in a gas [13]) can be written as [9]:…”

Finite Volume Method for Streamer and Gas Dynamics Modelling in Air Discharges at Atmospheric Pressure

“…However, poor spatial resolution restricted their study to qualitative results. Towards the late 1970's, Davies improved the method of characteristics by introducing an iterative counterpart that increased the overall accuracy of the algorithm to second order (Davies et al, 1971(Davies et al, , 1975(Davies et al, , 1977. This method was adopted by several research teams (Kline, 1974), (Yoshida & Tagashira, 1976) and (Abbas & Bayle, 1980) and, as a result, it became the dominant method until the early 1980's.…”

The Development of Theories of the Electrical Breakdown of Gases

“…As the current grows, the space charge diminishes the field near the anode but increases the field at the cathode, and this can have a marked effect on the y emission itself as well as on the total amplified cathode emission due to y and a/a effects. Calculations of curves of iso-density of electrons and the resultant axial electric field have produced interesting results (Davies et al, 1971). The higher fields at the head and tail of an advancing avalanche produce enhanced ionization there, and the consequent higher excitation in those regions can lead to the apparent rapid development of luminosity both forward and backwards, producing the so-called anode-and cathode-directed streamers.…”