Rendering of large 3D scenes with a convincing level of realism is a challenging computer graphics problem. One of the common approaches to solving this problem is to use different levels of details (LOD) for scene objects, depending on their distance from the observer. Using hierarchical levels of detail (HLOD), when levels of details are created not for each object individually, but for large groups of objects at once, is more effective for large scenes. However, this method faces great challenges when changes occur in the scene. This paper discusses a specific class of scenes with a deterministic nature of events and introduces a method for effective rendering of such scenes based on usage of so-called hierarchical dynamic levels of details (HDLOD). Algorithms for generating HDLOD and their use for visualization of the scenes are also described.