This project is great. Hopefully one day AirDrop is liberated too. https://github.com/seemoo-lab/opendrop looked promising, but it seems stale. maybe one day.
People mention these tools each time AirDrop comes out, and they're not at all compatible.
AirDrop allows two devices to find each other and establish a temporary network to exchange data.
LocalSend and all similar tools require that you first set up a network, have both devices join it, _and then_ handles the final portion of the exchange. The key aspect of AirDrop is that it automates all the overhead.
The open/standard equivalent for AirDrop is Wi-Fi Aware (aka: Neighbor Awareness Networking), which still lacks software support.