How did Obi-Wan Kenobi know Luke's name in ANH?

They were next door neighbours. Obi-Wan had known Luke all his life. Later on in the prequels George Lucas had Obi-Wan be the one who had brought Luke to Tatooine and Obi-Wan was only living there because of Luke, having always planned to train Luke if he grew into a good prospect.

Ben was present at Luke's birth and delivered him to his adopted parents at the end of Revenge of the Sith. He then installed himself in a nearby hovel to keep an eye on him and to defend him from potential attackers.

We see in the (canon) comics that he met with Luke on multiple occasions during his early years, initially visiting the family on occasion, then observing the boy from afar after his falling-out with Owen Lars, right up to age 17, just a couple of years before seeing him again in ANH.

Luke age (approx) 4

_{^{Star Wars #7}}

Luke age (approx) 7

_{^{Star Wars #15}}

Luke age 13

_{^{Star Wars Webcomic: #1 - An Old Friend}}

Luke age 17

_{^{Star Wars Webcomic: #2 - Meeting the Droids}}

Luke: The droid says he belongs to someone named 'Obi-Wan'. Do you think he means Old Ben?

To me, it seems clear from his preceding conversation with his Uncle that they all knew who Old Ben was, and so it reasons that on a desert planet with a tiny population that Old Ben would know who Luke Skywalker was.