here is my take, hopefully it helps./
first of all lets clarify design and development
design is a conceptual work, production of a concept for a solution, a process of elimination of things that you think, feel and believe do not fit as a solution to your intended goal
development is a production of finalized specification/idea (at least in theory) or something that makes sense and close to what you are looking for (although in many cases it is not like that), basically a conversion of your design/idea into working end product
note that both things can and do in most cases coexist side by side in production of the product
now that this is out of way, visual, web, ux, ui are just sub categories of a design notion, each although based on design principal also have their own sub universes and their own sub rules and sub practices that apply directly to their respective subcategories and in many cases can propagate seemingly from one sub category to another.
from my understanding and what i have learned over the years,
interaction design (none specific to field) - concept/understanding how one/individual interacts with an entity and how to design the process of interaction of that individual with the entity. that entity can be anything you pick it to be, for example your car, or your toaster, web browser and website that you view in a browser.
visual design (none specific to field) - concept/understanding of aesthetic appeal and impact of an entity with which individual interacts/looks at
web design (field specific) - concept/understanding of an idea that is a technology(s) specific and includes aspects of multiple design concepts such as but not limited to: interaction design, visual design, user experience design, user interface design and so on
user experience design (none specific to field) - concept of designing user experience, which in turn includes visual design and interaction design plus the limitations of the field in which such design work is happening
user interface (some what specific to field) - concept of designing an interface through which user can interact with the product, gui in soft/web app or an steering wheel in a car
user interface development (none specific to field) - is a process of converting user interface design concept into functioning interface that creates physical connection between individual and product.
hope this helps
