To give a short summery, the piston engine will be operated with a very high boost pressure with up to 9.4 bar at take off and nearly 20 bar back pressure. The pressure ratio of charge/back pressure is allways around 2. At take off, less than half of the power will be generated by the crankshaft and the turbine will gives the most power output. Therefor a combustion chamber is added, where the exhaust of the piston engine will be reheatet at take off to the maximum turbine entrance temperature (1600° C).
For the weight estimation, two senarios were regarded, one with a specific engine weight of 37 kg per L displacement and one with only 20 kg/L displacement. The 20 kg/L are surly extremly ambitious, and are derived from the old large gazoline aero engines.
It is also noted, that current exhaust emission regulations for turbines can be fullfilled with a Diesel engine without any after treatment systems, so no one should blame die Aero Diesel for beeing dirty...