Three-dimensional numerical simulations are performed to study the initiation process of the rotating detonation combustor initiated by a pre-detonator. Navier-Stokes equations are solved with a 7-species and 8-steps H-2/Air chemical reaction mechanism. Three different injection patterns are considered, including the inner-slit injection, outer-slit injection and mid-slit injection. A single stable rotating detonation wave is established finally for all three injection patterns. Firstly, the initiator dynamics of the pre-detonator is discussed. The initial detonation wave spreads into the combustor from the pre-detonator and two oppositely propagating detonation waves are formed in the combustor in all cases, causing wave collisions. Similar fresh gas injection disturbance is seen, suggesting the little effect of different injection patterns at the beginning. After the recovery of the injection, 'Lform' fresh mixture layers are formed in the inner-slit/outer-slit injection patterns, leading to a rapid establishment of stable propagation mode. While in the mid-injection pattern, transition of fresh mixture layer structure is seen from 'I-form' to 'L-form'. Severe lateral expansion exists during this period, resulting in a long-term wave initiation. (C) 2019 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.