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Wankel rotary engines typically consume more fuel than a piston engine because the thermodynamic efficiency of the engine is reduced by the long combustion-chamber shape and low compression ratio. That low compression thing is problematic for using diesel...but a positive thing for the reliability of an engine.
Your question is a good one and I'll bet MAZDA or the airplane engine industry has some topnotch engineers working on just that kind of an issue.
Search grasshopper, search...
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Bama1
2008 SLK 280, Firemist Red - "Hurricane"
2001 F150 Lariat 4x4, Black on Black - "Badboy"
1982 240D 4 speed survivor -"Pearl" - Donated to Vietnam Veterans
1962 Oldsmobile Dynamic 88 -"Gertrude"
1954 model original owner - ~2.5M
Gray softtop/solid exterior/modified chassis 
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