Suppose $X$ is a PL manifold (with boundary) and let $(X,X_{i})$ be a regular CW complex. Is the barycentric subdivision of $(X,X_{i})$ a combinatorial manifold? Answer given in comments.
Definition: A combinatorial manifold is a triangulation of a $n$-manifold such that the link of every vertex $v$ is a $(n-\dim(v)-1)$-sphere.