The concept of wave function is widely used in existing quantum mechanics. However, the nature of the wave function is unanswerable. Many people are dissatisfied with the quantum mechanics of non-local realism and want to establish the quantum mechanics of local realism. But they did not break through the bottleneck. The model of wave curling inside the particle determines that the wave function is the motion equation of localized real wave.The wave mechanics based on such wave functions is quantum mechanics of localized realism. The mathematical formal system of local realism quantum mechanics is the same as the existing one. Explanation of double slit diffraction can be experiment by directional quantization. The explanation system of local realism quantum mechanics is established, and it is guaranteed that this system can also be organically combined with the existing mathematical formal systems of quantum mechanics.