A Lagrangian Panel Method in the Time Domain for Moving Free-surface Potential Flows

Jorge D'Elía, Mario Alberto Storti, Eugenio Oñate, Sergio R. Idelsohn


A Lagrangian-type panel method, in the time domain, is proposed for potential flows with a moving free surface. After a spatial semi.discretization, with a low-order scheme, the instantaneous velocity-potential and normal displacement on the moving free surface, are obtained by eans of a time-marching scheme. The kinematic and dynamic boundary conditions at the free surface are non-linear restrictions over the related Ordinary Differential Equation system and, in order to handle them an alternative Stekhlov-Poincaré operator technique is proposed. The method is applied to sloshing like flow problems.

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