SDLC as part of a process

Howdy, 

I have a process to design at hand. it is an application process that if it passes some initial assessment will go throuhg an entire SDLC until the solution is entirely developed. Any thoughts about how to present the SDLC within the process model without getting into a lot of details. My assumption is that the SDLC is a value stream-- and thus can not be triggered as one single subprocess. 

The SDLC is already designed. 

Thanks!