Simulation of the time-dependent propagation of leak-triggered helium density gradients in cryogenic and nonisothermal accelerator vacuum systems

Stefan Wilfert, F. Chill
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Abstract

A novel simulation code for the calculation of the time-dependent evolution of helium density profiles in tubular-shaped beam vacuum systems of particle accelerators is presented. The code called TransVac was written in the statistics programming language R using the noncommercial development software RStudio and is based on an analytical approach. In contrast to earlier simulation tools based on analytical computational methods, the new code does not only master the profile calculation in conventional vacuum systems operated at room temperature, but also in fully cryogenic and in nonisothermal systems composed of cryogenic and warm sections. Data of helium adsorption isotherms are used to calculate gas densities profiles in cold vacuum systems with the cryosorption-based wall-pumping effect. The article discusses how the simulation code works and which mathematical algorithm is used. Comparisons between experimental and theoretical data confirm that the software developed provides sufficiently reliable predictions on the propagation behavior of leak-triggered helium pressure waves in cryogenic and room-temperature vacuum systems as well.
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低温和非等温加速器真空系统中泄漏触发的氦密度梯度随时间变化的传播模拟
本文介绍了一种新型模拟代码,用于计算粒子加速器管形束流真空系统中氦密度剖面随时间变化的情况。该代码名为 TransVac,是使用非商业开发软件 RStudio 以统计编程语言 R 编写的,基于分析方法。与早期基于分析计算方法的模拟工具不同的是,新代码不仅掌握了在室温下运行的传统真空系统中的剖面计算,还掌握了在全低温和由低温段和暖段组成的非等温系统中的剖面计算。氦吸附等温线数据用于计算具有基于低温吸附的壁泵效应的低温真空系统中的气体密度曲线。文章讨论了模拟代码的工作原理和使用的数学算法。实验数据和理论数据之间的比较证实,所开发的软件能够充分可靠地预测低温和室温真空系统中泄漏触发的氦气压力波的传播行为。
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