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Numerical Modeling and Experimental Validation of Free Surface Flow Problems

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Abstract

In this paper we present a summary of numerical methods for solving free surface and two fluid flow problems. We will focus the attention on level set formulations extensively used in the context of the finite element method. In particular, numerical developments to achieve accurate solutions are described. Specific topics of the algorithms, like mass preservation and interface redefinition, are evaluated. To illustrate these aspects, numerical strategies previously developed are applied to the solution of a sloshing and a water column collapse problems. To assess the capabilities of these techniques, the numerical results are compared against each other and with experimental data. Considering these aspects, the present work is aimed to outline some well reported aspects of level set-like formulations.

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Acknowledgments

The authors thank the support given by research projects: Chilean Council for Scientific and Technological Research (CONICYT-FONDECYT 1130278); the Scientific Research Projects Management Department of the Vice Presidency of Research, Development and Innovation (DICYT-VRID) at Universidad de Santiago de Chile; Association of Universities: Montevideo Group (AUGM); Argentinean Council for Scientific Research (CONICET project PIP 112-20111-00978); Argentinean National Agency for Technological and Scientific Promotion (ANPCyT, PICT 2492/2010) and Universidad Nacional del Litoral, Argentina (Projects CAI+D 501-201101-00134, CAI+D 501-201101-00233, CAI+D 501-201101-00495).

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Authors and Affiliations

  1. Universidad de Santiago de Chile (USACH), Santiago, Chile

    Marcela Cruchaga

  2. Centro de Investigación de Métodos Computacionales CIMEC CONICET and UN Litoral, Santa Fe, Argentina

    Laura Battaglia, Mario Storti & Jorge D’Elía

  3. Facultad Regional Santa Fe (FRSF) U Tecnológica Nacional, Santa Fe, Argentina

    Laura Battaglia

  4. Facultad de Ingeniería y Ciencias Hídricas FICH UN Litoral, Santa Fe, Argentina

    Mario Storti & Jorge D’Elía

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  1. Marcela Cruchaga
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Correspondence to Marcela Cruchaga.

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Cruchaga, M., Battaglia, L., Storti, M. et al. Numerical Modeling and Experimental Validation of Free Surface Flow Problems. Arch Computat Methods Eng 23, 139–169 (2016). https://doi.org/10.1007/s11831-014-9138-4

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