A piston engine may include a non-contact bearing between a piston assembly and a cylinder. The piston may be configured to translate in a bore of the cylinder, and a non-contact bearing may be included in a clearance gap between the piston assembly and the bore. A bearing fluid may be supplied to the clearance gap via the piston assembly and/or cylinder to create the non-contact bearing. A bearing element may be used to direct or otherwise manage the flow of bearing fluid in the clearance gap. The bearing element may include one or more holes, porous portions, and/or passages to direct the bearing fluid to the clearance gap.