  The meta distribution of the signal-to-interference-ratio (SIR) is an
important performance indicator for wireless networks because, for ergodic
point processes, it describes the fraction of scheduled links that achieve
certain reliability, conditionally on the point process. The calculation of the
moments of the meta distribution requires the probability generating functional
(PGFL) of the point process. In vehicular ad hoc networks (VANETs) along
high-speed motorways, the Poisson point process (PPP) is a poor deployment
model, because the drivers, due to the high speeds, maintain large safety
distances. In this paper, we model the distribution of inter-vehicle distance
equal to the sum of a constant hardcore distance and an exponentially
distributed random variable. We design a novel \emph{discretization model} for
the locations of vehicles which can be used to approximate well the PGFL due to
the hardcore point process and the meta distribution of the SIR generated from
synthetic motorway traces. On the other hand, the PPP overestimates
significantly the coefficient-of-variation of the meta distribution due to the
hardcore process, and its predictions fail. In addition, we show that the
calculation of the meta distribution becomes especially meaningful in the upper
tail of the SIR distribution.
