It's obvious, but silent running is your friend. I was sneaking away from a gang of destroyers once, and they were right on top of me all over the map. Then I realized I had forgotten to rig for silent running. I switched it on, and the destroyers instantly scattered.
Once I managed to find a destroyer sitting stopped on the surface at night. I managed to sneak up on him and get a couple shots off, but as soon as he saw the torpedoes coming he shot off like a drag racer.
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