  We perform three-dimensional numerical simulations to study the hydrodynamic
evolution of Sgr A East, the only known supernova remnant (SNR) in the center
of our Galaxy, to infer its debated progenitor SN type and its potential impact
on the Galactic center environment. Three sets of simulations are performed,
each of which represents a represent a certain type of SN explosion (SN Iax, SN
Ia or core-collapse SN) expanding against a nuclear outflow of hot gas driven
by massive stars, whose thermodynamical properties have been well established
by previous work and fixed in the simulations. All three simulations can
simultaneously roughly reproduce the extent of Sgr A East and the position and
morphology of an arc-shaped thermal X-ray feature, known as the "ridge".
Confirming previous work, our simulations show that the ridge is the
manifestation of a strong collision between the expanding SN ejecta and the
nuclear outflow. The simulation of the core-collapse SN, with an assumed
explosion energy of 5x10^50 erg and an ejecta mass of 10 M_sun, can well match
the X-ray flux of the ridge, whereas the simulations of the SN Iax and SN Ia
explosions underpredict its X-ray emission, due to a smaller ejecta mass. All
three simulations constrain the age of Sgr A East to be <1500 yr and predict
that the ridge should fade out over the next few hundred years. We address the
implications of these results for our understanding of the Galactic center
environment.
