A computer storage device having a host interface, a controller, non-volatile storage media, and firmware. The firmware instructs the controller to: allocate a named portion of the non-volatile storage device; generate, according to a first block size, first block-wise mapping data; translate, using the first block-wise mapping data, logical addresses defined in the named portion to logical addresses defined for the entire non-volatile storage media, which can then be further translated to physical addresses in a same way for all named portions; determine a second block size; generate, according to the second block size, second block-wise mapping data; translate, using the second block-wise mapping data, the logical addresses defined in the named portion to the logical addresses defined for the entire non-volatile storage media.