A diffusion based shifting algorithm for incompressible smoothed particle hydrodynamics: Validation with cases involving slamming bodies and cylinder exit.

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    Abstract

    When simulating an incompressible fluid, traditional weakly compressible SPH techniques have disadvantages includ- ing noisy pressure predictions and high computational costs. As an alternative, incompressible SPH simulations can be achieved by employing a projection method to enforce a divergence free velocity field. Such techniques are receiving considerable interest in the literature due to the potential for noise free pressure predictions, with acceptable computational costs. The method does however suffer from stability issues when particles bunch together or are stretched apart from one another, which is generally the case if particles are restricted to following streamlines, as is dictated by the Navier-Stokes equations. To overcome this issue, particles can be shifted away from one another, across streamlines, according to some algorithm whose job it is to determine a suitable displacement vector. The primitive variables are then corrected to account for their change in position via interpolation.Here, we follow on from earlier work in the authors’ group and employ Ficks’s law to shift the particles. We present validation cases involving cylinder and wedge slamming into initially calm water. We also consider cylinder exit from initially calm water. These cases are particularly relevant to the design of ships and wave energy extraction devices. The results we present show effectively noise free pressures and very high accuracy. To our knowledge, this is the first time such accuracy has been achieved via SPH techniques for such complex cases.
    Original languageEnglish
    Title of host publicationhost publication
    Publication statusPublished - May 2012
    Event7th international SPHERIC workshop - Prato, Italy
    Duration: 29 May 201231 May 2012

    Conference

    Conference7th international SPHERIC workshop
    CityPrato, Italy
    Period29/05/1231/05/12

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