Devices that can be delivered into a vascular system to divert flow are disclosed herein. According to some embodiments, devices are provided for treating aneurysms by diverting flow. A flow-diverting device can comprise, for example, a frame and mesh immovably attached to and extending over a portion of the frame. The mesh can include a plurality of pores that are sized to inhibit the flow of blood through the frame into an aneurysm to a degree sufficient to lead to thrombosis and healing of the aneurysm when the device is positioned in a blood vessel and adjacent to the aneurysm.