Method and system for dynamic topology-aware space allocation in a distributed system

A system divides non-volatile memory of a plurality of storage devices into physical extents which comprises chunks. The system allocates slabs associated with the storage devices, wherein a respective slab comprises extents from different storage devices and further comprises stripes. A stripe comprises a chunk from each extent of the respective slab. The system updates, in a first data structure, an entry which indicates: a slab number for the respective allocated slab; and a storage device identifier and an extent number for each extent in the respective allocated slab. Responsive to receiving a write request, the system obtains a first stripe from a pre-allocated list which includes the allocated slabs. The system searches, based on stripe information associated with the first stripe, the first data structure to obtain a physical location in a storage device to which to issue the write request.