As many real world systems evolve according to phenomena characterized by a continuous time dependency, literature studied several approaches to correctly capture all their aspects. Since their analysis is not trivial, different high level approaches have been proposed, such as classical pure mathematical analysis or tool-oriented frameworks like Fluid Stochastic Petri Nets. Each approach has its specific purposes and naturally addresses some application field. This paper instead focuses on the simulation of models written in a custom Hybrid Systems (HS) formalism. The key aspect of this work is focused on the use within a framework called SIMTHESys of a function describing how the fluid variables evolve, providing more efficient simulation...