Abstract: We will talk about the long-time solution of the Kahler-Ricci flow on minimal model with intermediate Kodaira dimension. We will first introduce the basic knowledge of such flow and relevant progreesses in recent years, for example the relative volume comparison of Tian-Zhang. The main obstruction here is the collapsing of the metric. Finally I will talk about the scalar curvature convergence of such flow, and give the outline of the proof.