Aggregate Architectures are full-scale structures made from large numbers of non-convex, geometrically interlocking designed granules. They form a novel class of material systems which are in many ways directly opposed to conventional architectural assembly systems. Whereas in an assembly structure both local parts and global formation can be clearly defined, aggregates can only be observed in their behavior as a granular mass. Thus one of the core challenges in working with granulates is the development of appropriate tools of observation. Both experiments and simulations are applied and need to be used in combination with each other. In this context the paper will present the most recent development of Distinct-Element Modeling (DEM) Simulations for Aggregate Structures. Previous results have been presented in terms of the geometric principle used to compute the individual grain and its contacts. The new results shown here lay their focus on developing accurate models simulating the construction process as well as specified load cases. Initially the overall field of Aggregate Architecture will be introduced. Consequently a brief description of Distinct-Element Modeling in general and for non-convex granulates in specific will be given. The exact modeling approach for a large excavated dome structure will be introduced both in its concepts and detailed parametric settings. The results of this simulation will be discussed and areas of further developments indicated.