Short Summary:
Changing the topographic features does not significantly affect model stability. However, modifying the tropopause height or lapse rate has a much greater impact.
Increasing the tropopause height can lead to model blow-up originating in the stratosphere (near the model top), while altering the lapse rate often causes instability near the tropopause (in the tropics).
The width of the topography influences the model response more strongly than its shape—whether rectangular or Gaussian
Contour lines show the potential temperature profile
Change the width of two mountains (and thus the interval) and one Gaussian mountain (22.5 degree width, default setting only)
Change the tropopause height (10km case blow up)
The horizontal view of the experiment with 10km tropopause height (rows for different pressure levels and columns for different time steps):
change the magnitude of lapse rates
The horizontal view of the experiment doubling the lapse rates in both troposphere and stratosphere
Change the lapse rate in the troposphere
The horizontal view of the experiment doubling the lapse rates in the troposphere
Change the lapse rate in the stratosphere
change Earth rotation rate
change topography's latitude location