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

Authors: D'elía J.1; Storti M.A.1; Oñate E.2; Idelsohn S.R.1

Source: International Journal of Computational Fluid Dynamics, Volume 16, Number 4, 1 January 2002 , pp. 263-275(13)

Publisher: Taylor and Francis Ltd

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Abstract:

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 means 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 (ODE) system and, in order to handle them, an alternative Steklov-Poincaré operator technique is proposed. The method is applied to sloshing like flow problems.

Keywords: Computational fluid dynamics; Free surface flows; Lagrangian panel method; Sloshing flow; Steklov-Poincaré operator

Document Type: Research article

DOI: 10.1080/1061856021000025148

Affiliations: 1: International Centre for Computational Methods in Engineering (CIMEC) INTEC, UNL-CONICET, Güemes 3450, Santa Fe 3000, Argentina 2: Centro Internacional de Métodos Numéricos en Ingeniería (CIMNE) Universidad Politécnica de Catalunya (UPC), Módulo C1 Campus Nord UPC, Gran Capitán s/n, Barcelona 08034, Spain

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