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…xes to rho*z_t helped a bit but not a cure for the offset at the wave peak.
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Summary
Need to iron out the last few kinks. These changes follow the overleaf and do a better job of propagating the density perturbations over 1 step. However, this is still a lag at the top of the wave peak that needs to be addressed. A change in the formal derivation with
Zpptmay be in order.