Enhancing heat transfer efficiency has always been a fundamental issue in thermal convection. Studies based on the classical Rayleigh-Bénard convection system have shown that introducing partitions arranged in a specific manner, with gaps left at both ends away from the top and bottom plates to divide the system into several flow channels, can significantly increase convective heat transfer efficiency. However, existing research primarily focuses on partitions with simple geometries. To better exploit the potential of such structures, this paper adopts a unified parametric description for geometric features, summarizing complex geometries into four key parameters. The simulation results of systems under these complex geometric conditions were obtained using computational fluid dynamics approaches supported by ANSYS Fluent. Based on these simulation results, fluid velocity, temperature, and other physical quantities were analyzed to investigate the heat transfer characteristics of the system. Additionally, sensitivity analysis and impact evaluation were conducted. The study confirms that optimizing the system by modifying the geometry of the partitions can lead to a 15% increase in heat transfer efficiency compared to systems with simpler, original partition designs. These analyses and discussions will contribute to further exploration of complex partition configurations in partitioned convection systems in future research.