How did queen elizabeth and Prince Philip meet?

They met when she was 13 and he was 18. She was with her family and family friend Lord Louis Mountbatten at some sort of navel show. Phillip was Louis' nephew and descent cousin of Elizabeth and Margaret's and was also in the Royal navy at that time so he was able to meet the King, Queen and Princesses. Apparently Elizabeth had a crush on him from then on and they married when she was 21