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90                                         Roberto Sulpizio and Pierfrancesco Dellino


          1993; Neri et al., 2003). These computations have yielded invaluable constraints to
          the basic physical processes that characterize motion and deposition of particles
          within a PDC, but some complexities of natural currents are still difficult to
          replicate using the available computational capabilities. The addition of new results
          and constraints from field data and experiments into numerical codes is the main
          challenge for future research in numerical modelling. Although recent develop-
          ments in multiphase, Lagrangian codes represent a significant improvement toward
          description of complex phenomena, the results are still not able to fully describe the
          variability of natural PDCs.




          ACKNOWLEDGEMENTS

          This work is part of the ongoing research on explosive activity of Italian volcanoes funded by
          Dipartimento di Protezione Civile (DPC-INGV projects 2005–2007). We gratefully acknowledge
          Allison Austin for the revision of the English text. Many thanks to Jo Gottsmann for his editorial
          assistance and to an anonymous reviewer for valuable suggestions.




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