A method for modeling fluid flow in a wellbore is provided. Hydraulic fracturing is an effective technique to improve well productivity by forming high permeable pathways for hydrocarbons to flow from the rock formation to the wellbore. Fluid flow for hydraulic fracturing is modeled using separated flow components, including a wellbore component (modeling the wellbore(s)), a perforation component (modeling the perforations(s)), a fracture component (modeling the fracture(s)) and a rock component (modeling the rock). Each respective component may be selected independently from a plurality of available components. Further, the respective components may be coupled to one another only at their interfaces, such as at a wellbore-perforation interface, a perforation-fracture interface, and a fracture-rock interface, for continuity of fluid kinematics and properties (such as pressure and density). In this way, the modeling of the subsurface may be tailored to the respective components in order to effectively predict the fracturing treatment.