What does "down" mean here?

Native speaker’s answer
Rebecca
Excellent question. When we use "down" in this way it is not specifically directional. Rather it is used, especially with prepositions, in this case "at", to emphasize that a place is at some distance from you or from somewhere considered to be central. Ex: I'll meet you down at the gym tomorrow. Ex: I heard that he has a house down by the harbour. Ex: I'm going down to the supermarket to buy some milk. Ex: He lives down by the park.