This is the new implementation of Dual Energy, following Bryan 2013:

The pressure is computed using the next condition:

The Internal Energy is synchronized using only the next condition:

## Comparison: VL and SIMPLE Integrators

Both simulations are using the next Dual Energy parameters: $\eta_1 = 0.001$ $\eta_2=0.03$

Row 1: SIMPLE Integrator

Row 2: VL Integrator

## Changing $\eta_2$:

### Cell Difference

Here is the L1 Distance defined for a field $x$ as:

NOTE: The scale for each field is different.

## Projections

Dual Energy parameters used for Cholla: $\eta_1 = 0.001$ $\eta_2=0.03$

Now the projected distance is 25 Mpc/h and the difference ranges from [-1, 1].

## Zeldovich Pancake Revised

Now only for $\eta_2=0.03$