When I use Mac's terminal to SSH into a linux server, how can I prevent the linux server from using a swap partition on my drive?

I currently am SSHing into a linux server via my mac's terminal program. Afterwards, I run whatever simulations and calculations I need to do. However, I noticed that after I log in, it says on the top that the linux server has: 30 GB RAM, 10 GB Swap. Does anyone know what this swamp term means? Does it mean it will use some of my computer's partition for running things? I ask this because my computer becomes incredibly slow and low on memory whenever I run a memory intensive job. Thanks!