There's no way to mute an entire section of the forum, but it is possible to stop receiving notifications for specific posts.
In the list of threads, there is a flag icon that you can click. Clicking it will open a window in which you can turn off notifications for new posts or unwatch the thread.
Additionally, it is possible to not have the thread. Before submitting a reply to a thread, you can open Settings at the bottom and uncheck the Watch Thread setting.
P.S.: Thread moved to General Discussion; it can get buried easily in off topic.