The real subs without radar had it worse than we do and still managed to intercept, so let's do it their way. First decide whether they are moving left to right or versa visa. Let's say they are tending to the right. Then turn right and put them on your 270º bearing. Hit the gas (assume they are going fast to begin with.)
Now observe. If their bearing stays the same over time you are on a collision course, keep it up. You're going to have a very short encounter with about one shot if you're lucky but you will be able to intercept them.
If the bearing changes more toward stern, in this case decreasing as time goes by, then you will pass in front of them. Keep it up. You want to get ahead and submerge off the track to shoot them as they come up on you.
If the bearing is getting larger than 270º, changing more toward the bow, that means that they will pass the point where your courses cross ahead of you. You will have a hard time getting in position for a shot. Change your angle of attack to put them at 270º again and see what happens. If you continue this you will eventually end up on a parallel course. Then if you are faster than they are, maintaining the 270 bearing will put you on a more and more converging course to end up ahead of them. Submerge off-track and wait for your shot.
These are VERY GENERAL guidelines which assume you know nothing more about them than "there they are." You can do much better than that if you can establish their course and speed. Basically if you are behind them, you want to end around at a range where you will not be detected, but you can maintain contact with them until you get far enough ahead to converge on their track, submerge and ambush them.
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