Technology
Nugget—TMT Aerodynamic Studies: Simulating the Wind
George Angeli
TMT
Systems Engineering Group Leader
gangeli@tmt.org
Mountaintops are windy places. Nevertheless, they are the best
places for observatories. The TMT project plans to build a huge
structure, comparable to an oil rig, on the top of a mountain.
We also need to align this structure to a precision of a few nanometers,
and then keep it so.
Can we do it? Yes, we are convinced we can. Here is why.
For several years, we have been conducting computational fluid
dynamic (CFD) simulations of the potential mountaintops and various
enclosures considered for TMT. The earliest aerodynamics models
reflected the precursor designs: CELT, GSMT, and VLOT. An extensive
wind-measurement campaign was carried out with the Gemini South
telescope, producing a large amount of pressure and velocity data,
mostly from the 8-meter primary mirror. Two series of wind tunnel
measurements were done to investigate the flow field in and around
generic spherical enclosures. Since the TMT reference design was
established in September 2004, its performance under various wind
loads has been scrutinized extensively.
A wind model based on all the measurements, CFD calculations,
and wind tunnel data was developed. The model estimates the pressure
and velocity profile of the turbulence (specifically, its power
spectral densities) at a range of critical locations inside the
enclosure: at the secondary mirror, along the telescope tube, and
on the primary mirror. [The pressure bandwidth and RMS value of
the von Karman-type turbulence is predicted as a function of external
mean wind velocity and the telescope azimuth and elevation angles,
as well as from the effective area of dome venting.]
However, knowing the enemy is only half of the battle. We also
have to develop and test our strategy for defeating the wind as
much as possible. Besides minimizing the wind cross section of
the telescope, our most effective weapon is the mount control system.
Its encoders detect telescope motion and deformation due to wind,
with help from a dedicated wavefront sensor aimed at a natural
guide star.
Based on this information, the control system continuously adjusts
the pointing of the telescope and guides it to minimize the effect
of wind buffeting. We test our control strategy via computer, where
an integrated telescope model simulates the combined behavior of
the telescope structure under wind loading, optics, and all the
control systems.
The
wind problem may be exacerbated by potential coupling to the
local thermal environment, most notably in relation to the “seeing” just
above the primary mirror, which is the result of the uneven atmospheric
boundary layer above the mirror. Another coupled factor is dome
seeing, which covers the optical effects of the non-isothermal
air turbulence inside the enclosure and around the observing slit.
To estimate the cumulative effect of these couplings, dome- and
mirror-seeing models were developed, based on thermal CFD and optical
models of the enclosure and the boundary layer above the primary
mirror.
Mitigating local seeing requires maintaining a steady flushing
of even-temperature air across the enclosure and the primary mirror,
which in turn results in constant low-level wind buffeting. Preliminary
simulations show that under reasonable environmental and operating
conditions, these two processes dominate distinct external wind
speed regimes, meaning that we can mitigate their adverse effects
independently of each other.
Although
we are continuously refining the models used for predicting the
wind- and thermal-related performance of the TMT, preliminary
results from our simulations indicate that the system can already
maintain its very tight error budget for image jitter through the
70th percentile of the standard wind conditions that the telescope
can expect to encounter.
Figure 1.
A computational fluid dynamic (CFD) simulation of a cross section
of the TMT calotte dome design, with the telescope [white object
at center] at a 65? zenith angle and the wind blowing from the
right. The color scale indicates wind velocity in meters per
second. The height-dependent velocity distribution of the mountaintop
boundary layer is clearly visible on the right side of the figure,
as well as the local turbulence (vortex shedding) at the edges
of the enclosure, and the primary and secondary mirrors. (Click
image to enlarge)
Figure 2.
One of the wind tunnels used to characterize the aerodynamic behavior
of the TMT calotte dome, using the scale model seen in the center
(shown with the enclosed telescope structure pointing at zenith,
straight up). (Click image to enlarge)
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