A method of filtering a fluid, including flowing a fluid from a first side of a filter member to a second side of the filter member, the fluid containing dissolved impurities. In addition, the method includes inducing fluid cavitation within the fluid to precipitate out at least a portion of the dissolved impurities. Further, the method includes controlling a pressure differential across the filter member. Still further, the method includes, maintaining or further inducing the fluid cavitation within the fluid in response to controlling the pressure differential. Related systems are also disclosed.