This is a page about "muddy" coffee, a.k.a cowboy coffee. It can be made with any coffee (espresso, filter, etc) though Turkish coffee works best. The finer the grind the better.
This is the laziest way I know to make coffee, and is also my favourite. It's similar to coffee made with a french press, but more acidic.
For what it's worth, the real way to make Turkish coffee is by cooking it in a special pot. This way is not it.
Just rinse the cup from the coffee, and then clean normally. The grounds don't clog drains.