A method and seal assembly for a rotary machine including a rotary component and a stationary component is provided. The method includes providing a seal housing including a front plate and a back plate that is spaced from the front plate such that a cavity is defined between the front plate and the back plate. The method also includes coupling a plurality of flexible compliant plates to at least one of the seal housing and the stationary component such that the compliant plates are spaced from the front plate and the back plate within the cavity, and coupling at least one projection to at least one of the seal housing and the compliant plates such that the at least one projection facilitates reducing flow through at least one of a first axial gap and a second axial gap that are defined between the seal housing and the compliant plates.