Data accompanying the paper "Stability properties of the constant coefficients semi-implicit time schemes solving equation system with controlled nonhydrostatism".

Data accompanying the paper "Stability properties of the constant coefficients semi-implicit time schemes solving equation system with controlled nonhydrostatism", submitted to Monthly Weather Review.

Each vertical slice experiment has its own ASCII file containing

grid point number, vertical height [km], vertical velocity [m/s] and named exp+3000_w_NH.gmt

for the non-linear non-hydrostatic flow over a hill with grid spacing of 80m and the time step of 2s, and containing

grid point number, vertical height [km], potential temperature [K] and named exp+rng_theta.gmt

for the Straka density current experiments with grid spacing of 25m and time step of 1s (with rng=0300, 0600, 0900).

The names of experiments and their descriptions are as follows:

NLNH flow over a hill

Experiment
Description
Time scheme

NL50
nonhydrostatic
PC

NK66
pabe(5,1)
SETTLS

NK50
hydrostatic
SETTLS

NL59
pad(0.1,0.1)
SETTLS

NK58
pad(0.01,0.01)
SETTLS

NK59
pad(0.001,0.001)  
SETTLS

Straka test

Experiment
Description
Time scheme

SH81
nonhydrostatic  
PC

SH71
pabe(5,1)
SETTLS

SH72
pad(0.1,0.1)
SETTLS

SH73
pad(0.01,0.01)
SETTLS

SH74
pad(0.01,0.01)
SETTLS

SH75
hydrostatic
SETTLS

For the vertical cross sections from 3D simulations each experiment has its own ASCII file named exp+rng_vv.gmt containing

point number, pressure[hPa], vertical velocity [m/s]. The names of experiments and their descriptions are as follows:

3D simulations, vertical cross sections

Experiment
Description
Time scheme

Lee waves
K801
nonhydrostatic
PC

time step=90s    
K842
pad[0.2,0.2]
SETTLS

rng=0011
K826
pad[2,1]
SETTLS

K800
hydrostatic
SETTLS

Occitania
B003
nonhydrostatic, gamma*=3.5 
PC

time step=15s
B249
pad[0.5,0.5], gamma*=5.5
SETTLS

rng=0012
B256
pad[0.1,0.1], gamma*=3.5
SETTLS

B303
hydrostatic
SETTLS