  We give a combinatorial description of the Springer correspondence for
classical Lie algebras $\mathfrak{g}$ of type $B,C$ or $D$ and their duals
$\mathfrak{g}^*$ in characteristic 2. The combinatorics used here is of the
same kind as those appearing in the description of (generalized) Springer
correspondence for unipotent case of classical groups $G$ by Lusztig in odd
characteristic and by Lusztig and Spaltentstein in characteristic 2. It is very
nice that this combinatorics gives a unified description for (generalized)
Springer correspondences of classical groups in all cases, namely, in $G$,
$\mathfrak{g}$ and $\mathfrak{g}^*$ in all characteristics. Moreover, it gives
rise to close formulas for computing the correspondences.
