The Event Horizon Telescope (EHT) has produced the first image of the 1.3 mm-wavelength emission around the black hole "shadow" at the heart of M87. The hot plasma in the accretion flow around M87's central black hole illuminates the spacetime, and the flow's magnetic field extracts energy from the black hole to launch the famous relativistic jet which is prominent in VLBI images at longer wavelengths. General relativistic magnetohydrodynamic (GRMHD) simulations are a powerful tool for studying the accretion flow and jet in M87. I will discuss the library of these simulations used by the EHT collaboration to constrain the properties of the black hole and emitting plasma in M87. I will also describe new simulations of M87 which go beyond single-fluid MHD to evolve separate electron and ion populations, as these species are likely not in equilibrium in hot accretion flows. These simulations can connect EHT images of the shadow at 1.3 mm to the relativistic jet at longer wavelengths to constrain the physics of the jet launching region, and indicate the powerful, wide-opening-angle jet in M87 is naturally launched by a magnetically arrested accretion flow.