Model for the Un/Conscious Mind
I only know of one Cognitive Model dividing the unconscious and conscious mind is presented by Paul Thaghard in "Two theories of consciousness: Semantic pointer competition vs. information integration". I explain this model in layman's terms in my blog post. In this answer, I'll compare Thaghard's model to Yate's model you've presented above.

Yate's model is based on the ideas of Global Workspace Theory (GWB). GWB posits that unconscious processes compete for the spotlight of attention so that they can enter consciousness. This seems to be what Yate's is suggesting in this diagram and would tie in nicely with mindfulness meditation.

GWB isn't a bad model. It makes a few predictions and describes a lot of phenomena (comas, certain types of blindness). However, it's not easily testable or disprovable. How do these unconscious processes interact? What type of representation would unconscious processes use and how does this relate to neurons? Can I build a computation model of consciousness based off this specification? These are the things that Paul's model worries about and specifies. Paul's model is essentially a more specified version of the Yate's model. It defines a representation (Semantic Pointers) which relates to neurons and makes testable claims.

To summarize and get back to your question, Yate's model is vaguely consistent with Cognitive Science, but it is under-specified. For further reading on more specific models, check the links in this answer.