The flux transport model HipFT implements advection, diffusion, and data assimilation on the solar surface on a logically rectangular nonuniform spherical grid. It is parallelized for use with multi-core CPUs and GPUs using a combination of Fortran's standard parallel do concurrent (DC), OpenMP Target data directives, and MPI. Serving as the computational core of the Open-source Flux Transport (OFT) software suite (ascl:2508.013), HipFT incorporates various differential rotation, meridional flow, super granular convective flow, and data assimilation models. HipRT also computes multiple realizations in a single run spanning multiple choices of parameters.