  In this review, we present the motivation for using relativistic anisotropic
hydrodynamics to study the physics of ultrarelativistic heavy-ion collisions.
We then highlight the main ingredients of the 3+1D quasiparticle anisotropic
hydrodynamics model and present phenomenological comparisons with experimental
data at different collision energies. These comparisons show that anisotropic
hydrodynamics can describe many bulk observables of the quark-gluon plasma.
