| 引用本文: | 王尚武,王同权.α粒子在高温高密度氘氚等离子体中输运和能量沉积率的有限元计算.[J].国防科技大学学报,1998,20(4):85-89.[点击复制] |
| Wang Shangwu,Wang Tongquan.The Finite Element Calculation of αParticle Transport and Energy Deposition Rate in High Temperature High Density Deuterium-Tritium Plasma[J].Journal of National University of Defense Technology,1998,20(4):85-89[点击复制] |
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| α粒子在高温高密度氘氚等离子体中输运和能量沉积率的有限元计算 |
| 王尚武, 王同权 |
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(国防科技大学 应用物理系 湖南 长沙 410073)
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| 摘要: |
| α粒子在高温高密氘氚等离子体系统中输运时其角密度分布函数满足非定态Fokker-Planck方程。本文将一维球对称情况下的Fokker-Planck方程在时域离散时分离成速度与坐标方向的两个方程, 再对此两个方程中的速度变量作多群化处理, 坐标变量(包括运动方向变量)采用有限元方法处理, 分别得到了两个有限元方程。通过对两个有限元方程的耦合求解, 数值求解了α粒子角密度分布函数随时间的变化, 据此分别计算了α粒子对背景等离子体中的离子、电子的能量沉积率以及α粒子对背景等离子体的总能量沉积率随时空的演化。 |
| 关键词: 氘氚等离子体, α粒子输运, Fokker-Planck 方程, 变量分离, 有限元方法, 能量沉积率 |
| DOI： |
| 投稿日期：1997-08-31 |
| 基金项目:国防科技大学校预研项目资助 |
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| The Finite Element Calculation of αParticle Transport and Energy Deposition Rate in High Temperature High Density Deuterium-Tritium Plasma |
| Wang Shangwu, Wang Tongquan |
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(Department of Applied Physics, NUDT, Changsha, 410073)
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| Abstract: |
| In this paper, the time-dependent Fokker-Planck equation of α particle angular density distribution function in one-dimensional spherical symmetric D-T plasma is seperated to two equations relevant to velocity and ordinates when discreted in time domain. The velocity variable in these two equations is treated by multigroup method, while the ordinate variables are treated by finite element method, thus two finite element equations are obtained. By couple calculation of these two equations, the variation of α particle angular distribution function vs time is calculated numerically. Based on these results, the time and space distribution of energy deposition rates of αparticles to ions and electrons in plasma are calculated respectively, and the total energy deposition rate of αparticles to background plasma is also obtained. |
| Keywords: D-T plasma, αparticle transport, Fokker-Planck equation, variable seperation, finite element method, energy deposition rate |
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