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By flying a search pattern... Running circles around the same point (or, in this case, a slightly moving point) isn't one. They are flying around her position, dropping buoys to triangulate and keep an update on her position, the circular pattern giving her no chance to slip away without passing less than 5-6nm from either an active or passive sonobuoy. Given the alleged range of the buoys carried on the P-8s, that's almost point blank. Meanwhile, the Kilo's crew is losing their nerves, being pinged or hearing the buoys splashing. Happened to an Oscar II crew transiting from Russia to the Mediterranean 3 years ago. Poor guys got actively pinged by two French Navy frigates from the Northern Sea to the middle of the Mediterranean, 3 weeks long, before giving up and surfacing.
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