The three-phase theory for plasma focus devices

Finite-elements numerical model of the current-sheet movement and shaping in coaxial discharges

“…Gratton and Vargas [9] found an analytical solution of the current-sheath shape of coaxial discharges, which can be obtained after some theoretical simplifications. There were a number of numerical solutions that were obtained using different piston-like approaches of the current sheath [10][11][12]. Magnetohydrodynamic models were developed in Eulerian coordinates, but the calculations required intensive computation and certain major numerical instability problems were still not solved [13,14].…”

Experimental study and two-dimensional modelling of the plasma dynamics of magnetically driven shock waves in a coaxial tube

“…This model has the advantage of being analytical, but certain simplifications were made on the mechanical equation of the sheath for the sake of obtaining analytical results. In other cases, a complete numerical solution is obtained, but considering a one-dimensional, plane, current sheath [9,10]. Detailed two-dimensional two-fluid magnetohydrodynamical models were also developed in Eulerian coordinates [11,12], but intensive calculations are required to solve the corresponding numerical code.…”

Magnetohydrodynamic simulation for plasma focus devices

“…Additional information about the comparisons made in the axial phase using the same idea as the Lee model can be found in [9,2,14], and by using other models in [3,16,34,35].…”

“…It has been found that the properties of plasma focus devices can be described by many closely correlated parameters, which are found empirically [1] and calculated theoretically [2]. To obtain optimum conditions, matching between a power supply and an electrode system, between a material and the dimensions of the insulator and the electrodes, and between the gas pressure and controlled homogeneous ignition should be ensured.…”