The invention relates to a cylinder liner arrangement for a reciprocating internal combustion engine and a cooling method. The cylinder liner arrangement comprises a cylinder liner, in which a piston is installed, the factory and installed state between a top dead center and a bottom dead center so along a cylinder axis of the cylinder liner reciprocally disposed forth that a top of the piston delimits, together with a running surface of the cylinder liner and on the cylinder liner arranged in the cylinder cover a combustion chamber. The cylinder liner comprises a liner cooling system for cooling the cylinder liner by means of liner cooling fluid and the cylinder cover comprises a cover cooling system for cooling the cylinder cover by means of a cover cooling fluid, According to the invention, the liner cooling system in such a manner decoupled from the cover cooling system that a flow communication between the liner cooling fluid and the cover cooling fluid is controlled or regulated, or that the flow communication between the liner cooling fluid and the cover cooling fluid is prevented.