Models of pulsational pair-instability supernovae arising from the evolution of metal poor helium stars. These simulations have been made with the MESA software instrument for stellar evolution, and are used in the paper "Pulsational pair-instability supernovae in very close binaries". Data includes machine-readable tables, both history and profile files from the simulations, as well as the terminal output and a movie for each. All MESA output files have been post-processed to reduce their size. All the code used to process the MESA simulations and produce figures is provided in a jupyter-notebook. WARNING: Simulations were done using a development MESA version (11123) rather than an official release. List of files: - template.tar.xz: MESA work folder to reproduce the simulations. - xxx_xx.tar.xz: Each of these files contains stellar profiles at different moments of evolution for one simulation. - histories.tar.xz: MESA history files for each simulation, containing the time evolution of quantities that are single-valued at each moment in time. - preSN.tar.xz: profiles for stars before the onset of pulsations (see paper for definition). - movies.tar: Movies for all simulations, produced using MESAs pgstar. - terminal_output.tar.xz: Terminal output from the simulations. - masses_table.txt: Machine readable version of Table 1 in the paper. - pulse_tables.tar.xz: machine readable tables containing mass lost, time, and kinetic energy of each pulse. - notebook.tar.xz: jupyter-notebook plus complementary files used to post-process the data and produce Figures. This version of the files has an updated notebook.tar.xz to produce the figures in the published version of the paper.