A Hybrid MPI-OpenMP Parallel Algorithm for the Assessment of the Multifractal Spectrum of River Networks

The possibility to create a flood wave in river network depends on the geometric properties of basin. Among models that try forecast Instantaneous Unit Hydrograph (IUH) rainfall precipitation, so-called Multifractal (MIUH) by De Bartolo et al. (2003) rather successfully connects multifractal basin observed IUH. Such can be assessed through different types analysis (fixed-size algorithm, correlation integral, fixed-mass sandbox and so on). algorithm is one produces most precise estimate spectrum are relevant for MIUH model. However, disadvantage this method it requires very long computational times produce best possible results. In previous work, we proposed parallel version which drastically reduced almost proportionally number Central Processing (CPU) cores available machine using Message Passing Interface (MPI), standard distributed memory clusters. present further improved code order include use Open Multi-Processing (OpenMP) paradigm facilitate execution improve speed-up single processor, multi-core workstations, much more common than multi-node Moreover, assessment has also been direct computation method. Currently, our knowledge, represents state-of-the-art fast evaluation basin, opens up new scenario an effective reasonable times.