vortex-p analyzes the velocity fields of astrophysical simulations of different natures (for example, SPH, moving-mesh, and meshless) usually spanning many orders of magnitude in scales involved. The code performs Helmholtz-Hodge decomposition (HHD); that is, it can decompose the velocity field into a solenoidal and an irrotational/compressive part Helmholtz-Hodge decomposition. vortex-p internally uses an AMR representation of the velocity field and can, in principle, capture the full dynamical range of the simulation. The package can also perform Reynolds decomposition (i.e., the decomposition of the velocity field into a bulk and a turbulent part). This is achieved by means of a multi-scale filtering of the velocity field, where the filtering scale around each point is determined by the local flow properties. vortex-p expands the vortex (ascl:2206.001) code, which had been coupled to the outputs of the MASCLET code, to a fully stand-alone tool capable of working with the outcomes of a broad range of simulation methods.