Waterless wash
A method used to wash the car without using water, usually just using a spray bottle filled with detail spray or filled with waterless wash solution. Just search Autogeek for "detail spray" and you will find many such products. With this method, you would spray the product onto a panel of the car and then carefully wipe it off with a microfiber towel, and usually follow that up by gently buffing the panel with a dry microfiber towel.
This method works best for lightly soiled vehicles or just to remove a few days of dust from a relatively clean car.
Rinseless wash
With this method, you would mix a bucket of "waterless wash solution." Two of the most popular are Ultima Waterless Wash Plus and Optimum No Rinse.
This method can be done in two different ways. Method #1 is to fill a second bucket with clean clear water and put a grit guard into that bucket. To wash your car, you would soak your wash mitt in the waterless wash solution, carefully wash a panel of the car, and then dry and buff that panel using a clean dry microfiber. Before going on to the next panel, you would rinse your mitt in the clean water bucket using the grit guard to try to remove as much dirt as possible before putting your mitt back into the wash solution.
So, the method is called a "rinseless" wash because there is no need to use a hose to rinse soap off of the vehicle. This is why the method is very popular in water restricted areas, or with apartment dwellers who have limited access to a hose, or with people who want to wash during freezing temperatures.
Method #2 is often called the "Garry Dean Method" (some people take exception to Garry claiming this as his invention, but nonetheless, when the Garry Dean Method is mentioned, most people know what it refers to).
With this method, the second bucket of clear rinse water isn't needed. Instead, you would just use several microfiber towels and put them aside after use rather than going through the trouble of rinsing them.
i.e.-- Immerse a clean microfiber towel into your wash solution, clean a panel of your car, and then put the dirty towel aside and reach for a clean towel to do the next panel.
Some products, such as Optimum No Rinse or Ultima Waterless Wash Plus can actually be used for BOTH methods. In the case of Ultima, for example, you can buy the product as a concentrate. Following directions on the label, you can mix a spray bottle of detail spray solution, or you can mix a bucket of product to do a waterless wash.
Hope this helps.