  We simulate transport in an atomtronic circuit of a Bose-Einstein condensate
that flows from a source region into a drain through a gate channel. The
time-dependent Gross-Pitaevskii equation (GPE) solution matches the data of a
recent experiment. The atomtronic circuit is found to be similar to a
variable-resistance RLC circuit, which is critically damped at early times and
shows LC oscillations later. The GPE also predicts atom loss from the drain.
Studies of the dependence of condensate transport upon gate parameters suggest
the utility of the GPE for investigation of atomtronic circuits.
