Hi, my paper has just today been posted to arXiv. :-)
I did the work about 5 years ago, congrats to the lead author for pushing the paper through to completion.
http://arxiv.org/abs/1606.07539
My part was in solving the equations from sections 2.5 to 2.9 and 2.13. Results are in section 3.2 and Appendix C.
I’m rather proud of getting the temperature spikes right in terms of both time and magnitude in Figure 14b. Fig 20 is another one of mine.