Living in an urban area, some folks simply don't have room for compost bins and other efforts requiring space for bins, windrows of composting ingredients, etc. Let's face it these things require a lot of area.
After doing much reading on the subject of composting, I was inspired to try this based upon a method called trench composting.
Here is how I did it.
CAUTION: FOR THOSE WHO ARE UNDERTAKING THIS STYLE OF EFFORT, CALL BEFORE YOU DIG!!!
Underground utilities can be dangerous. Your local Gas, Electric, Telecommunications, and Cable companies will come out and locate these utilities free of charge. There is a very real danger of getting injured or even killed if a buried utility is damaged. Not to mention the very high cost of repairs should this happen. Play it safe and call for utility location "spots".
I chose to construct the pit in a dirt driveway. After all, the parking space is the largest area of wasted space so I decided to put in into productive use. Take care to dig the pit much narrower than your vehicle tracks to prevent caving in your trench while parking over it. I live in an area with very low annual rainfall and fast draining sandy soil so this method works well for me. Take these things into consideration should you choose to try this.
First, have all underground utilities located and spotted.
Second, begin excavation.

I chose to dig the pit to a finished depth of 28" to allow for incorporation of a drainage field. You don't want your compost heap to be sitting in pooled water.

Use rocks and gravel to create a loose, porous, drainge layer.

Line the pit with landscape cloth.

Staple the liner in place with staples. I fashioned mine from some wire material I had laying around. Metal coat-hangers would serve well also.

Install a muck plate (a term borrowed from hard-rock mining) for ease of turning.

Next you're ready to assemble the pile.