Hot Dry Rock (HDR) is considered as one of the most promising energy to increase the supply of local and renewable energy to alleviate energy crisis for sustainable development. Fractures and fracture networks of HDR are the dominate channel for working fluid to transfer mass and heat, so a detailed description of fracture is critical to numerical simulation. The coupled THM governing equations are formulated as the mathematical model, based on the local thermal non-equilibrium theory. A core-scale 3D numerical model with a single idealized rough fracture is created. The distributions of pressure, temperature, stress and deformation were discussed. Sensitivity analysis was conducted to evaluate the influence of fracture roughness and aperture on the outlet temperature of the model.