To recreate Figure 1:

Use the data in figure_1.csv. Values are in three columns:

col1: diameter of vapor box / cm
col2: required vapor temperature / K
col3: equivalent vapor flux / (10^24 m^{-2} s^{-1})

To recreate Figure 3:

Use figure_3_data.txt. The file describes the various surfaces that make up the vapor box walls, in the SPARTA DSMC simulation. Surfaces are labeled by a description line, followed by lines for each point on that surface. Points are given as a pair (Axial coordinate Z in meters, Radial coordinate R in meters). Note that the final point of one surface is the starting point of the next surface.

To recreate Figure 5:

Simple method: 
Use data in figure_5_top.csv and figure_5_bottom.csv. 

figure_5_top.csv describes the temperatures of various components as a function of time. It has four columns: 
col1: time / seconds
col2: heater temperature / K
col3: central box temperature / K
col4: heat shield temperature / K

figure_5_bottom.csv describes flows out of the central box and out of the end boxes as a function of time. It has three columns: 

col1: time / seconds
col2: lithium vapor flow from central box to end boxes / (grams per second)
col3: lithium vapor flow from end boxes into main chamber / (grams per second)

More complicated method:
Use Mathematica 11 (or compatible) to run all the cells in heating_cooling_calculations.nb. This code requires the following additional files:

simpleVBD_ARK.nb
lithiumDataARK.m
materialDataARK.m
thermcraftHeatersARK.m

The last three should be added to Mathematica's $UserBaseDirectory/Applications.

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Additional files:

lithiumDataARK.nb, .pdf
materialDataARK.nb, .pdf
thermcraftHeatersARK.nb, .pdf
simpleVBD_ARK.pdf
heating_cooling_calculations.pdf

These Mathematica notebook (.nb) files generate the corresponding .m files when they are run. The notebook files provide additional documentation, such as citations for scientific quantities.
PDF files of these are provided so that a user without access to Mathematica can understand the physical model and procedure to generate Figure 5.

Chandra_li_mfp_figure.csv

This file represents points extracted from the image of a plot in the masters thesis of Ray Chandra[1]. The plot is his Figure 3.8. Points were extracted from the curve labeled 'Ionization from 2s'. The file is in two columns:
col1: radius / meters
col2: mean free path / meters

This file is required for a calculation at the end of heating_cooling_calculations.nb, and demonstrates the use of the paper's Equation (2) to derive an estimate for the diameter of the plasma beam as experienced by lithium atoms.

[1] Chandra, Ray. “Simulation of Neutral Lithium Atoms in Magnum-PSI Using Eunomia.” Masters thesis, Technische Universiteit Eindhoven, 2017.