Explain the underlying principles and methodologies involved in the design and implementation of an efficient stormwater management system within an urban setting, considering factors such as land use patterns, topography, climate variability, and environmental sustainability. Elaborate on the various components of such a system, including detention basins, green infrastructure, permeable pavements, and traditional drainage networks, and discuss their respective roles in mitigating flood risks, controlling erosion, and preserving water quality. Furthermore, analyze the challenges associated with integrating these components into existing urban infrastructure while ensuring cost$-$effectiveness and compliance with regulatory standards. Evaluate the potential benefits of employing innovative technologies and modeling techniques, such as computational fluid dynamics and remote sensing$,$ in optimizing the performance and resilience of stormwater management systems. Finally, discuss the broader implications of effective stormwater management in promoting urban resilience, enhancing community well$-$being, and addressing the long$-$term impacts of climate change on urban environments.