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Motivated by current status of dark matter (DM) search, a new type of DMproduction mechanism is proposed based on thedynamical process of a strongfirst-order phase transition in the early universe, namely, the filtered DMmechanism. We study the hydrodynamic effects on the DM relic density. Bydetailed calculations, we demonstrate that the hydrodynamic modes with thecorresponding hydrodynamic heating effects play essential roles in determiningthe DM relic density. The corresponding phase transition gravitational wavecould help to probe this new mechanism.

Hydrodynamic effects on the filtered dark matter produced by a first-order phase transition