A numerical solver for investigating the space charge effect on theelectric field in liquid argon time projection chambers
A numerical solver for investigating the space charge effect on theelectric field in liquid argon time projection chambers
复制标题
研究空间电荷对液氩时间投影室电场影响的数值求解器
DOI：
10.1088/1748-0221/18/06/p06022
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发表时间：
2023
影响因子：
1.3
通讯作者：
Yang, Tingjun
中科院分区：
文献类型：
--
作者：
Tu, Shuang Z.;Jiang, Chao;Junk, Thomas R.;Yang, Tingjun
本文报道了一个数值求解器的发展，旨在模拟空间电荷（即离子）分布和电场之间的相互作用，在液体氩时间投影室（LArTPC）探测器。离子输运方程采用时间精确的格心有限体积法求解，电势方程采用连续有限元法求解。电势方程更新了电场，电场提供了离子输运方程的漂移速度。离子输运方程更新了电势方程中作为源项的空间电荷密度分布。在每个物理时间步内，空间电荷分布和电场之间的相互作用进行了数值模拟。离子输运方程中的对流速度除了电漂移速度之外还可以包括背景流速。数值求解器已并行使用消息传递接口（MPI）库。数值试验表明，并验证了当前的数值求解器的能力和精度。据计划，开发的数值求解器，连同计算流体动力学（CFD）包，它提供了流速场，可以用来调查在大型粒子探测器的电场上的空间电荷效应。
This paper reports the development of a numerical solver aimed to simulate the interaction between the space charge (ie ions) distribution and the electric field in liquid argon time projection chamber (LArTPC) detectors. The ion transport equation is solved by a time-accurate, cell-centered finite volume method and the electric potential equation by a continuous finite element method. The electric potential equation updates the electric field which provides the drift velocity to the ion transport equation. The ion transport equation updates the space charge density distribution which appears as the source term in the electric potential equation. The interaction between the space charge distribution and the electric field is numerically simulated within each physical time step. The convective velocity in the ion transport equation can include the background flow velocity in addition to the electric drift velocity. The numerical solver has been parallelized using the Message Passing Interface (MPI) library. Numerical tests show and verify the capability and accuracy of the current numerical solver. It is planned that the developed numerical solver, together with a Computational Fluid Dynamics (CFD) package which provides the flow velocity field, can be used to investigate the space charge effect on the electric field in large-scale particle detectors.