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New technological and industrial problems (single/multiphase flows, complex geometry, local relaminarization and re-transition to turbulence, chemistry-fluid interaction) require development of new mathematical formulations and new accurate and robust numerical methods. This is particularly true when a new physical mechanism occurring in an applicative problem arising In an Industrial application, the physical process has to be fully understood. Within the present program, research activity related to study of technological problems is based on the development and application of novel, state-of-art methodology for the analysis of a specific problem that otherwise can hardly be undertaken using standard procedures.