Heat vortices of ballistic and hydrodynamic phonon transport in two-dimensional materials

•Heat vortices in two-dimensional porous or ribbon structures are investigated based on the phonon Boltzmann transport equation (BTE) under the Callaway model.•We find that apart from the hydrodynamic regime, the heat vortices can appear in the ballistic and other transition regimes, which is a wider window of heat vortices compared to previous study.•The differences of heat vortices in the ballistic and hydrodynamic regime are investigated.