Simulation data for the step-by-step verification of PIC-MCC codes from VKI and LPP

This dataset contains the results of PIC-MCC simulations of a 2D plasma in a box in 7 test cases with different boundary conditions. The results can be used to verify the correct implementation of PIC and MCC routines. The simulations are performed using the LPPic code, developed at the Laboratoire de Physique des Plasmas (LPP) at École polytechnique, and with Pantera, developed at the von Karman Institute for Fluid Dynamics (VKI). CrossSections.zip contains the cross-sections used in the simulations in tabulated form. The first column is the collision energy in the center-of-mass frame in [eV]. The second column is the cross-section in [m²]. The cross-section for elastic e−H and electron impact excitation are taken from the Morgan database on LXCat (https://nl.lxcat.net). The cross sections for H+−H elastic and charge exchange collisions are taken from the tabulated data in Schultz et al.. The ionization cross section corresponds to the fit of Janev et al., but the energy has been scaled down by a factor of 10 for practical reasons. DensityTemporalProfiles_xxx.csv contain the temporal evolution of the mean electron and ion density, normalized to the initial density. The data from VKI also contains the corresponding confidence interval estimates. DensitySpatialProfiles_xxx.csv contain the spatial profiles along the x-coordinate (x in [0,1]m) of the electron and ion densities at the lat time step (t = 5 μs), spatially avergaed in the interval 0.4 m < y < 0.6 m. The data from VKI also contains the corresponding confidence interval estimates. ResultsComparison.zip contains the temporal history of many domain-integrated quantities (number of particles, total momentum, energies, ...) for each run of each test case using both codes. ErrorQuantification.zip contains the results of the same integrated quantities, in addition to a final snapshot of the simulation domain, for each test case at three progressive levels of refinement, obtained using the VKI code. These data has been used to compute the confidence intervals for temporal and spatial quantities. DensityConvergenceRate.pdf contains plots of the effective convergence rate for the mean density of electrons and ions as a function of time for all test cases, computed using the VKI code.本数据集收录了7组不同边界条件下的盒状二维等离子体的PIC-MCC（Particle-in-Cell and Monte Carlo Collision，粒子网格-蒙特卡洛碰撞）模拟结果，可用于验证PIC与MCC程序的正确实现。本次模拟分别采用巴黎综合理工学院等离子体物理实验室（LPP）开发的LPPic代码，以及冯·卡门流体动力学研究所（VKI）开发的Pantera代码完成。 CrossSections.zip 中包含了模拟所用的表格化碰撞截面数据。其中第一列为质心系下的碰撞能量，单位为电子伏特（eV）；第二列为碰撞截面，单位为平方米（m²）。弹性e⁻-H碰撞与电子碰撞激发的截面数据取自LXCat平台的Morgan数据库（https://nl.lxcat.net）。H⁺-H弹性碰撞与电荷交换碰撞的截面数据取自Schultz等人的表格化研究成果。电离截面采用Janev等人的拟合公式，但出于实用考量已将能量尺度缩小至原有的1/10。 DensityTemporalProfiles_xxx.csv 文件存储了平均电子与离子密度随时间的演化曲线，数据已归一化至初始密度。其中来自VKI的数据集还包含了对应的置信区间估计结果。 DensitySpatialProfiles_xxx.csv 文件存储了最后一个时间步长（t=5 μs）下，电子与离子密度沿x轴（x取值范围为[0,1]m）的空间分布剖面，且已在y区间0.4 m < y < 0.6 m内完成空间平均。其中来自VKI的数据集同样包含了对应的置信区间估计结果。 ResultsComparison.zip 包含了所有测试案例在两套代码下的各次运行结果，即各域积分量（粒子数、总动量、总能量等）的时间演化历史。 ErrorQuantification.zip 收录了采用VKI代码完成的、针对三组渐进加密网格精度的所有测试案例的积分量结果，以及模拟域的最终快照。该数据集曾用于计算时间与空间物理量的置信区间。 DensityConvergenceRate.pdf 包含了所有测试案例下电子与离子平均密度的有效收敛速率随时间变化的绘图结果，该结果由VKI代码计算得到。