Driving from home to a shopping center, approximately 25 miles, I did not observe any unusual noises nor smoke nor dashboard warning lights. Once I parked and shut off the engine in the shopping center parking lot, I observed a small amount of thick, white smoke coming from the hood on the front passenger side of my car, and then the smoke abruptly stopped. I was concerned enough that I decided I should probably move my car to a parking space a bit further away from the store I planned to go into in order to be further away from other vehicles. I started the engine again, and once again, no smoke nor unusual noises nor warning lights. I drove around to the next parking aisle and parked in a different parking space. Once I turned off the engine again, the smoke then immediately started from the right side of the hood again and quickly smoke started coming from the left side of the hood. I was quickly trying to grab my things to get out of the car as I saw the paint starting to peel off of the hood of my car. I was barely able to get out of my car as fire flames and very thick white smoke were then emerging from the hood. A person in the parking lot called 911 for me, and the local fire department arrived and put the fire out that destroyed my car. I am in the process of securing the Fire Marshall's lengthy report. At the present time, my vehicle is at our home where we paid to have it towed.