Hi, everyone.

I just tested the dual time stepping for euler vortex case in the examples 
using following *.ini configuration:

[solver-time-integrator]
formulation = dual
scheme = bdf2
pseudo-scheme = tvd-rk3
tstart = 0.0
tend = 100.0
dt = 1
pseudo-dt = 0.01
controller = none
pseudo-niters-max = 20
pseudo-niters-min = 5
pseudo-aresid = 1e-5
pseudo-rresid = 1e-5

It is really fast (4s) comparing with standard time integrator (39s).

100.00/100.00 ela: 00:00:04 rem: 00:00:00

However, the result is different from default setting. The vortex goes 
lower in the dual-time stepping case.


dual: 
<https://lh3.googleusercontent.com/-GXzvC5V4K6c/WIdrpyT6amI/AAAAAAAAFu8/8dQSDiN4E4YQFPtucrVm8J6OqPne_UQcwCLcB/s1600/dual.png>

std: 
<https://lh3.googleusercontent.com/-lgNIR1Ly9uU/WIdrNLuC0sI/AAAAAAAAFu4/maBfcsazhS08NsErlyoZwd6Qj7RpkGx_ACLcB/s1600/std.png>


I also tried to use pseudo-dt = 0.05 and 0.1 but it resulted in NaN error. 
My question is:

a. What is wrong with this euler-vortex case using dual time stepping?

b. What can I expect from using dual-stepping?

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