Using the new Dual Energy Scheme From Teyssier 2015, for PPMC + HLLC + SIMPLE:
The Total Internal energy is used where and the delay in the formation of the shock is still there.
Comparing to the Evolution when not Using Dual Energy:
Using The Gravitational Work to update the Total Energy and Teyssier scheme:
Using The both Dual Energy Conditions ( Enzo and Teyssier):