APPLICATION OF THE TEST-PARTICL STATISTICAL METHOD FOR THE SIMULATION OF RAREFIED PLUME FLOWS IN A VACUUM

Pub Date : 2023-08-09 DOI:10.15407/knit2023.04.012
L.L. L. L. Pecheritsa, Т.G. Smіla
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Abstract

The article substantiates the important role of the problem of the supersonic jet outflow into a vacuum to control the motion of the center of mass, orientation, and stabilization of the spacecraft’s position in space. The types of low-thrust engines and microrocket engines viewed have plumes that can pass through all regimes from continuum to free-molecular. In zones where motion is described at the molecular-kinetic level, statistical methods are most often used. The statistical Test Particle Method (TPM) has so far been used only in rarefied homogeneous flows. The aim of this work is to develop the TPM for numerical modelling plume flows. Below are the basic tenets of the TPM and changes in its algorithm. The initial drawing of the trajectories of molecules is carried out either from the nozzle exit (in the absence of a dense core) or from the initial surface, which is the virtual border of the continuity zone. Determining the distributions over the surface of the drawing of the coordinates of the start and the mass velocity of the plume flow is decisive for obtaining adequate results. Among the considered launch options, the most realistic one is uneven, with a concentration on the plume axis. The calculation of the mass velocity of the plume flow at the initial surface can be performed using numerical methods of continuum aerodynamics or using approximate methods. The testing of TPM in the far field of a rarefied nitrogen plume was carried out by comparing the relative density distribution with the data of the approximate method. The results obtained in the presence of the initial sphere and in its absence agree with each other. The TPM testing in the area adjacent to the nozzle was carried out by comparing the isolines of relative density and Mach numbers with the results of direct Monte Carlo simulation for the experimental conditions of helium outflow from a lowthrust engine into a vacuum. Satisfactory agreement has been obtained between the numerical simulation data of the TPM and the compared data
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试验粒子统计方法在真空稀薄羽流模拟中的应用
本文论证了超声速射流真空出口问题在控制空间质心运动、定向和航天器位置稳定等方面的重要作用。所观察到的低推力发动机和微型火箭发动机的羽流可以通过从连续体到自由分子的所有状态。在分子动力学水平上描述运动的区域,最常用的是统计方法。统计测试粒子法(TPM)迄今为止只用于稀薄的均匀流。这项工作的目的是发展TPM数值模拟羽流。以下是TPM的基本原则及其算法的变化。分子轨迹的初始绘制要么从喷嘴出口(在没有密集核心的情况下)进行,要么从初始表面(连续区的虚拟边界)进行。确定羽流的起始坐标和质量速度在绘图表面上的分布对于获得充分的结果是决定性的。在考虑的发射方案中,最现实的是不均匀的,集中在羽轴上。羽流在初始表面的质量速度可以用连续介质空气动力学的数值方法或近似方法计算。通过将相对密度分布与近似方法的数据进行比较,对稀薄氮羽远场的TPM进行了测试。在初始球存在和不存在的情况下得到的结果是一致的。通过将相对密度和马赫数等等值线与直接蒙特卡罗模拟结果对比,对低推力发动机氦向真空流出实验条件进行了喷管附近区域的TPM测试。TPM的数值模拟数据与对比数据吻合较好
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