nonhydrostatic

In addition, the hydrostatic system is ill posed and the nonhydrostatic system is sensitive displays fast exponential growth near a jet.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

To see what is really solved we have to take the Navier-Stokes equations or better the nonhydrostatic equations and apply a spatial filter.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

The gravity waves are also the source of the fast exponential growth in the nonhydrostatic system.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

The ill posedness of the hydrostatic system and the rapid growth of the nonhydrostatic system is caused by the gravitational term, not the Coriolis term.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

And as pointed out many times, the unbounded growth in hydrostatic climate models starts to rear its ugly head at finer resolutions as do the fast exponential growth near vertical shear jets in the nonhydrostatic continuum solutions.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

And though unphysically large dissipation terms (eddy viscosity or other such gimmicks) can hide the problem, as the mesh size is reduced and the dissipation becomes closer to that of the real atmosphere, the numerical problems start to appear (they have already shown up in versions of NCAR's fine scale hydrostatic and nonhydrostatic models – reference cited).

Exponential Growth in Physical Systems #2 « Climate Audit 2007

There are basic mathematical problems with the hydrostatic system and exponential growth of solutions for the nonhydrostatic system in the neighborhood of a jet.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

Increasing the resolution in numerical models based on the hydrostatic or nonhydrostatic systems is not going to solve anything.

YTD Hurricane Activity « Climate Audit 2007

So now they going to develop a nonhydrostatic global version, but have not mentioned the continuum problems with the nonhydrostatic continuum system near jets even though those problems have shown up in their own models.

Exponential Growth in Physical Systems #2 « Climate Audit 2007

I ran inviscid tests of a hydrostatic and nonhydrostatic model at fine resolutions.

Exponential Growth in Physical Systems #2 « Climate Audit 2007