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An explicit Lagrangian finite element method for free-surface weakly compressible flows

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Abstract

In the present work, an explicit finite element approach to the solution of the Lagrangian formulation of the Navier-Stokes equations for weakly compressible fluids or fluid-like materials is investigated. The introduction of a small amount of compressibility is shown to allow for the formulation of a fast and robust explicit solver based on a particle finite element method. Newtonian and Non-Newtonian Bingham laws are considered. A barotropic equation of state completes the model relating pressure and density fields. The approach has been validated through comparison with experimental tests and numerical simulations of free surface fluid problems involving water and water–soil mixtures.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy

    Massimiliano Cremonesi, Simone Meduri, Umberto Perego & Attilio Frangi

Authors
  1. Massimiliano Cremonesi
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  2. Simone Meduri
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  3. Umberto Perego
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  4. Attilio Frangi
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Correspondence to Massimiliano Cremonesi.

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Cremonesi, M., Meduri, S., Perego, U. et al. An explicit Lagrangian finite element method for free-surface weakly compressible flows. Comp. Part. Mech. 4, 357–369 (2017). https://doi.org/10.1007/s40571-016-0122-7

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  • DOI: https://doi.org/10.1007/s40571-016-0122-7

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