  At the beginning of binary black hole simulations, there is a pulse of
spurious radiation (or junk radiation) resulting from the initial data not
matching astrophysical quasi-equilibrium inspiral exactly. One traditionally
waits for the junk radiation to exit the computational domain before taking
physical readings, at the expense of throwing away a segment of the evolution,
and with the hope that junk radiation exits cleanly. We argue that this hope
does not necessarily pan out as junk radiation could excite long-lived
constraint violation. Another complication with the initial data is that it
contains orbital eccentricity that needs to be removed, usually by evolving the
early part of the inspiral multiple times with gradually improved input
parameters. We show that this procedure is also adversely impacted by junk
radiation. In this paper, we do not attempt to eliminate junk radiation
directly, but instead tackle the much simpler problem of ameliorating its
long-lasting effects. We report on the success of a method that achieves this
goal by combining the removal of junk radiation and eccentricity into a single
"joint-elimination" procedure. This approach has the following benefits: (1) We
do not have to contend with the influence of junk radiation on eccentricity
measurements for later iterations of the eccentricity reduction procedure. (2)
We re-enforce constraints periodically by invoking the initial data solver,
removing the constraint violation excited by junk radiation previously. (3) The
wasted simulation segment associated with the junk radiation's evolution is
absorbed into the eccentricity reduction iterations. Furthermore, (1) and (2)
together allow us to carry out our joint-elimination procedure at low
resolution, even when the subsequent "production run" is intended as a high
resolution simulation.
