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Approximate H-transformation for numerical stabilization of a deterministic Boltzmann transport equation solver based on a spherical harmonics expansion
Solid-State Electronics ( IF 1.7 ) Pub Date : 2022-09-23 , DOI: 10.1016/j.sse.2022.108457
Suhyeong Cha, Sung-Min Hong

In this work, we propose a numerical stabilization method for a deterministic Boltzmann transport equation solver based on a spherical harmonics expansion. In the proposed scheme, the approximate H-transformation, a new energy variable approximately follows the total energy. An additional term is generated out of the free-streaming operator and it should be implemented properly. When the kinetic energy is fixed, the distribution function at that energy can be directly accessible at any time instance. The proposed scheme is implemented in our in-house deterministic Boltzmann transport equation solver. The numerical simulation results demonstrate that the proposed stabilization scheme works properly without any numerical difficulties.



中文翻译:

基于球谐函数展开的确定性玻尔兹曼输运方程求解器数值稳定的近似 H 变换

在这项工作中,我们提出了一种基于球谐函数展开的确定性玻尔兹曼输运方程求解器的数值稳定方法。在所提出的方案中,近似 H 变换,一个新的能量变量近似地跟随总能量。一个额外的术语是从自由流运营商中产生的,它应该被正确实施。当动能固定时,该能量的分布函数可以在任何时间直接访问。所提出的方案在我们内部的确定性玻尔兹曼输运方程求解器中实现。数值模拟结果表明,所提出的稳定方案可以正常工作,没有任何数值困难。

更新日期:2022-09-23
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