  It is believed that the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino
model becomes the $\mathcal{N}=2$ superconformal field theory (SCFT) in the
infrared (IR) limit. We examine this theoretical conjecture of the
Landau--Ginzburg (LG) description of the $\mathcal{N}=2$ SCFT by numerical
simulations on the basis of a supersymmetric-invariant momentum-cutoff
regularization. We study a single supermultiplet with cubic and quartic
superpotentials. From two-point correlation functions in the IR region, we
measure the scaling dimension and the central charge, which are consistent with
the conjectured LG description of the $A_2$ and $A_3$ minimal models,
respectively. Our result supports the theoretical conjecture and, at the same
time, indicates a possible computational method of correlation functions in the
$\mathcal{N}=2$ SCFT from the LG description.
