The two most common life cycle models are the traditional transportation life cycle model and the Vee life cycle model. While these two models may look quite different, you can easily relate the steps of the traditional transportation life cycle model (in yellow below) to the Vee life cycle model (simplified version in blue).

Dashed lines from the traditional process to the Vee process show how the two processes relate to each other. Generally, Project Initiation through Project Closeout is related to the Vee Needs through Validation processes. There is not quite a one-to-one relationship between the different stages or phases of the models, but since each are versions of sequential models, they line up fairly well.