Complex computing platforms such as High Performance Computers and Data Centers are critical systems from the energy sustainability viewpoint, due to their high computational power and demanding thermal stability specifications. In this context, cooling is a crucial component to operate such systems efficiently. Adavanced solutions, based on liquid and hybrid topologies are available today, but they come with a twofold challenge. On one hand, as widely recognized in the literature, the cooling devices need to be operated in a coordinated and energy-efficient fashion. In addition, after design and deployment, the cooling system has to be dynamically managed to efficiently adapt to workload, and environmental conditions. On the other hand, at design time, the cooling hardware architecture has to be selected in order to fit in the best way the needs of the computing facility, also depending on the environmental conditions characterizing its location. This work presents a flexible, low-complexity modeling tool to describe the overall thermal behavior of complex computational platforms, as well as the effect of the diverse cooling components, and the corresponding energy consumption. Analytical modeling equations, stemming from physical first principles, are used, thus providing a compact and computationally manageable tool. This can be then exploited to explore the design space, choosing the correct cooling configuration, and/or define energy-optimal holistic cooling strategies, for complex, multidimensional, and hard constrained systems such as today SuperComputers. The proposed method is presented in general terms, then validated on a case study of a real-life HPC system with a hybrid cooling architecture.