A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH

Diego Molteni, Andrea Colagrossi

    Risultato della ricerca: Article

    196 Citazioni (Scopus)

    Abstract

    In literature, it is well know that the Smoothed Particle Hydrodynamics method can be affected by numerical noise on the pressure field when dealing with liquids. This can be highly dangerous when an SPH code is dynamically coupled with a structural solver. In this work a simple procedure is proposed to improve the computation of the pressure distribution in the dynamics of liquids. Such a procedure is based on the use of a density diffusion term in the equation for the mass conservation. This diffusion is a pure numerical effect, similar to the well known artificial viscosity originally proposed in SPH method to smooth out the shock discontinuities. As the artificial viscosity, the density diffusion used here goes to zero increasing the number of particles recovering consistency and convergence of the final numerical scheme adopted. Different artificial density diffusion formulas have been studied, paying attention to prevent unphysical changes of the flows. To show the improvements of the new scheme proposed here, a suitable set of examples, for which reference solutions or experimental data are available, has been tested.
    Lingua originaleEnglish
    pagine (da-a)861-872
    Numero di pagine11
    RivistaComputer Physics Communications
    Volume180
    Stato di pubblicazionePublished - 2009

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    Hydrodynamics
    hydrodynamics
    evaluation
    pressure distribution
    shock discontinuity
    Viscosity
    viscosity
    Liquids
    liquids
    Pressure distribution
    conservation
    Conservation

    All Science Journal Classification (ASJC) codes

    • Hardware and Architecture
    • Physics and Astronomy(all)

    Cita questo

    A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. / Molteni, Diego; Colagrossi, Andrea.

    In: Computer Physics Communications, Vol. 180, 2009, pag. 861-872.

    Risultato della ricerca: Article

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    abstract = "In literature, it is well know that the Smoothed Particle Hydrodynamics method can be affected by numerical noise on the pressure field when dealing with liquids. This can be highly dangerous when an SPH code is dynamically coupled with a structural solver. In this work a simple procedure is proposed to improve the computation of the pressure distribution in the dynamics of liquids. Such a procedure is based on the use of a density diffusion term in the equation for the mass conservation. This diffusion is a pure numerical effect, similar to the well known artificial viscosity originally proposed in SPH method to smooth out the shock discontinuities. As the artificial viscosity, the density diffusion used here goes to zero increasing the number of particles recovering consistency and convergence of the final numerical scheme adopted. Different artificial density diffusion formulas have been studied, paying attention to prevent unphysical changes of the flows. To show the improvements of the new scheme proposed here, a suitable set of examples, for which reference solutions or experimental data are available, has been tested.",
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