The Discrete Fracture Network (DFN) method is a discrete modeling approach designed to simulate fluid flow and transport phenomena within fractured rock formations. In this method, fractures are represented as 2D planar domains, with fluid flow restricted to the fractures themselves, as the surrounding rock matrix is considered impermeable. A central challenge in these simulations is the geometric handling of the domain, particularly when global or local mesh conformity is necessary. Fluid flow is modeled using Darcy’s law, which governs the hydraulic head equilibrium within each fracture. This equation is coupled through flux balance and continuity conditions at fracture intersections, called in what follows traces.