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A numerical method for studying the interaction between a partially submerged body and the surrounding fluid

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Sommario

Viene presentato un metodo numerico per la soluzione di un modello matematico del problema noto in Idrodinamica Navale con il nome di seakeeping. Si cerca la soluzione sotto forma di potenziale di strato semplice utilizzando condizioni al contorno non stazionarie sia sulla superficie libera che sul corpo; quest'ultima condizione tiene conto dell'interazione reciproca tra il corpo ed il fluido.

Il metodo é basato su un'opportuna formulazione integrale delle equazioni nel campo fluidodinamico e su una discretizzazione alle differenze finite per quanto riguarda l'evoluzione temporale. Sono stati risolti alcuni problemi significativi ed i risultati ottenuti sono confrontati con i dati sperimentali disponibili in letteratura. Il metodo proposto é direttamente estendibile al caso non lineare e puó essere efficientemente implementato su un calcolatore parallelo.

Summary

A numerical method has been developed to compute the solution of a mathematical model of the problem known in Naval Hydrodynamics as seakeeping. The solution is written as a potential of a single layer. Unsteady boundary conditions are used both on the free boundary and on the body. The latter take into account the reciprocal interaction between the body and the fluid.

The numerical solution of the fluid flow has been obtained by means of the boundary element method, and a suitable difference method has been used to compute the time evolution. A few relevant prototype problems have been solved and compared with experimental data. The method can be directly extended to the nonlinear case, and can be effectively implemented on a parallel computer.

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Pitolli, F., Bassanini, P. & Bulgarelli, U. A numerical method for studying the interaction between a partially submerged body and the surrounding fluid. Meccanica 24, 144–149 (1989). https://doi.org/10.1007/BF01559417

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  • DOI: https://doi.org/10.1007/BF01559417

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