Hi!
I think your basic problem is that you were spotted in relatively shallow water, and if you crash-dived (engines to maximum speed) then it is likely the destroyer was able to track you underwater until you reset your engines to silent running.
Assuming the destroyer closed the distance to your last known location at about 20 knots, your U-boat probably didn't get more than a kilometer away from the point where you began silent running, and changing course would have only decreased your distance away from the last contact point. When the destroyer arrived, you would have been well within its sensor cone but with shallow water preventing you from diving beneath it.
At that point, the destroyer's ability to find you really depends on the destroyer's crew quality and the aspect angle of your U-boat with respect to the destroyer, so it's my guess that you had the bad luck to be up against a good ASW operator.
Pablo
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"...far better it is to dare mighty things, to win glorious triumphs even though checkered by failure, than to rank with those poor spirits who neither enjoy much nor suffer much, because they live in the gray twilight that knows neither victory nor defeat."
- Theodore Roosevelt, speech before the Hamilton Club, Chicago, April 10, 1899
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