Using Chunked Extendible Array for Physical Storage of Scientific Datasets

The data model found to be most appropriate for scientific databases is the array-oriented data model. This also forms the basis of storing and accessing the database onto and from physical storage. Such storage systems are exemplified by the hierarchical data format(HDF/HDF5), the network common data format (NetCDF) and recently the SciDB. Given that the array is mapped onto linear locations in a file, i.e., a representation of an array file, in either row-major or column-major order, a fundamental feature of the representation is that they should be allowed to grow to massively large sizes by gradual expansions of the array bounds. In both the row-major and column-major order of array elements, extendibility is allowed in one dimension only. We present an approach of storing multi-dimensional dense array on physical storage devices, that allows arbitrary extensions of any of the array bounds, without reorganising previously allocated array elements. For a k-dimensional N-element array, the organisation allows an element to be accessed in time O(k +log N) using O(k
²
N
^1/k
) additional space. By chunking the array to size No
_c
chunks, the time and space requirements reduce to O(k + log No
_c
) and O(k
²
N
_c
^1/k
).