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高密度等离子体焦点二维MHD数值计算中的特殊处理

SPECIAL TREATMENTS IN TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC CALCULATION OF THE DENSE PLASMA FOCUS

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【作者】 施将君董维申刘桂贤谢明恕刘自伟

【Author】 SHI JANG-JUN DONG WEI-SHEN LIU GUI-XIAN XIE MING-SHU LIU ZI-WEI(The South-West Fluid-Physics Institute)

【机构】 西南流体物理所西南流体物理所

【摘要】 本文研究了等离子体焦点装置同轴段等离子体的二维磁流体力学行为。在(r,z)平面的欧拉网格上使用了双步长Lax-Wendroff格式的编码。所作的特殊处理是:(1)对复杂的扩散项作时间前差分;(2)电子和离子的平衡项用隐式迭代;(3)所有的方程使用了Lapidus三阶光滑化技术;(4)密度和动量方程使用了Lax格式和Leapfrog格式的混合格式以消除非线性不稳定性;(5)低密度区磁场处理为真空磁场,使磁场计算与流体计算退耦,这避免了对时间步长的苛刻限制。编码在320机上进行了370个双步长的计算,每个双步长耗机时39秒钟。计算出稳定的动力学结构。

【Abstract】 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.

  • 【文献出处】 计算物理 ,Chinese Journal of Computation Physics , 编辑部邮箱 ,1984年01期
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