The moiré effect is a physical phenomenon in periodic (or nearly periodic) structures. A straightforward approach does not enable us to fully understand this complex phenomenon and describe it in all its details. Therefore, modeling of the effect is often necessary. The combined simulation incorporates both physical and computer simulations. Computer tools for simulating the moiré effect in parallel layers and volumetric displays are presented, along with methods for replacing original microscopic objects with their macroscopic equivalents, thereby facilitating the development of a physical model. (It resembles an aerodynamic model of an aircraft or vehicle.) The combined simulation was made for 3D displays, cylindrical structures (single- or double-layered nanoparticles), and volumetric 3D structures. The results can be applied to nanoparticles, crystallography, and the improvement of the visual quality of 3D displays.