  Neutrino-cooled accretion flow around a black hole, produced by a compact
binary merger, is a promising scenario for jet formation and magnetic-driven
winds to explain short duration gamma ray bursts (GRBs) central engine and
kilonovae based on GW170817 gravitational wave observation. Magnetorotational
instability (MRI) turbulence and Blandford-Znajek (BZ) mechanism are expected
to play key roles in the thermal equilibrium of the disk (balancing neutrino
cooling) and in driving accretion and creating jets. Using the open-source
GRMHD HARM-COOL code, we study the magnetically-driven evolution of an
accretion disk with realistic equation of state in the fixed curved space-time
background. We identify the effects of the neutrino cooling and the magnetic
field, paying particular attention to the dynamical, thermal and composition
evolution of the disk and outflows.
