As the temperature of gas turbines continues to rise, turbine cooling faces significant challenges. Facing significant flow and heat transfer non-uniformity issues in turbines, the ability of artificially defined topological structures to control physical fields is insufficient. Therefore, it is necessary to utilize intelligent geometry algorithms to address such bottleneck issues in turbine cooling. This study applies self-organizing structures with biomimetic capabilities to flat double-wall cooling systems, addressing the issue of non-uniformity in turbine cooling. Referencing the impingement-film cooling layout in the first-stage vane of the turbine, typical features of the inlet and outlet of the double-wall cooling area were extracted. A geometric modeling method based on the self-organized algorithm, which uses the diffusion-anti-diffusion equation, was applied to generate topological structures. These were then used as flow disruption structures to create a new impingement-film-disruption cooling structure. This study conducts numerical simulations on four different configurations of flat double-wall structures, comparing the heat transfer and flow performance of double-wall cooling systems incorporating self-organized structures under various parameters. The results indicate that for flat double-wall structures, the more fully the self-organized structures grow within the limited space of the impingement chamber, the greater the improvement in heat transfer performance. The flow field of the impingement-film-self-organized structure composite within the flat double-wall is significantly different from the traditional impingement-film flow field. Considering different combinations of self-organized parameters, when the self-organized structure can guide the impingement cross-flow towards the film cooling holes within the impingement chamber, it results in reduced flow losses and enhances heat transfer.