To accompany the development of High Temperature Superconductor (HTS) magnets at the Laboratoire National des Champs Magnétiques Intenses, we have initiated an activity on implementing numerical models to simulate HTS with the Feel++ finite element (FE) library used for the simulation of the lab high field resistive magnets. In this work, we give an overview of the status of the implementations. We focus on the modeling of the Nougat HTS – that reached 32.5 Tesla in a resistive magnet background field of 18 Tesla. We present some simulations run in parallel that we carried out: for the current density redistribution in the HTS based on the T-A formulation and for the estimation of the critical current as a function of the external applied magnetic field using an iterative algorithm based on A formulation. The results were validated using comparison with experiments and numerical estimations from Fazilleau et al. (2020).