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SPECIAL TREATMENTS IN TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC CALCULATION OF THE DENSE PLASMA FOCUS
SHI JANG-JUN, DONG WEI-SHEN, LIU GUI-XIAN, XIE MING-SHU, LIU ZI-WEI
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1984, 1 (1): 65-75.  
Abstract229)      PDF (653KB)(950)      
Two-dimensional magnetohydrodynamic behaviour of the plasma in co-axis of the plasma focus eguipment is studied in this paper. The two-step Lax-Wendroff scheme is applied to Eulerian cells of (r-z) plane in axial deuices. Applied special treatments are as follows. The complex diffusion terms have been treated by the forward time-defference method; The ion-electron equipartition terms are solved by a implicit iteration; The hapidus three-order smooth technics is used in all MHD equations; The mixed schame of Lax and Leapfrog schemes is used in the density equation and the momentum equation to eliminate the nonliear instabilities; The magneticfield of low-density region is treated as vacuum magnetic field, so that the calculations of magnetic field and fluids are decoupled,and the severe restriction in choosing the timestep is avoided.Each time-step of calculation takes 39 sec.on a DJS-8 (320), and approximately 370 timesteps are needed altogether. The steady dynamic structure is calculated.
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