A turbine engine includes a rotating detonation combustor including a housing defining at least one combustion chamber. The rotating detonation combustor is configured for a rotating detonation process to occur within the at least one combustion chamber to generate a combustion flow including a first portion and a second portion. The turbine engine also includes a turbine coupled in flow communication with the rotating detonation combustor. The turbine is configured to receive the combustion flow from the rotating detonation combustor. The turbine includes a first blade and a second blade that rotate about an axis at a rotational frequency. The rotating detonation combustor and the turbine are configured for the combustion flow first portion to contact the first blade substantially continuously as the first blade rotates.