We developed a numerical framework to solve partial differential equations on anatomically accurate vascular networks using the high performance finite element library Feel++. This framework is used to solve the closure equations on a VER needed to get the effective coefficients from the homogenization method as well as to perform direct simulations of mass transfers to check the homogenization procedure. In the first part of the presentation we will present this framework, with focus on, the way to obtain a mesh adapted to vascular networks. Then, we will detail the procedure to obtain effective coefficients in the capillary network. Finally, we will show that the homogenized and the direct approach are in good agreement.