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A Consistent Multi-Resolution Smoothed Particle Hydrodynamics Method

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      Abstract

      We seek to accelerate and increase the size of simulations for fluid-structure interactions (FSI) by using multiple resolutions in the spatial discretization of the equations governing the time evolution of systems displaying two-way fluid-solid coupling. To this end, we propose a multi-resolution smoothed particle hydrodynamics (SPH) approach in which subdomains of different resolutions are directly coupled without any overlap region. The second-order consistent discretization of spatial differential operators is employed to ensure the accuracy of the proposed method. As SPH particles advect with the flow, a dynamic SPH particle refinement/coarsening is employed via splitting/merging to maintain a predefined multi-resolution configuration. Particle regularity is enforced via a particle-shifting technique to ensure accuracy and stability of the Lagrangian particle-based method embraced. The convergence, accuracy, and efficiency attributes of the new method are assessed by simulating four different flows. In this process, the numerical results are compared to the analytical, finite element, and consistent SPH single-resolution solutions. We anticipate that the proposed multi-resolution method will enlarge the class of SPH-tractable FSI applications.

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      Most cited references 37

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      Simulating Free Surface Flows with SPH

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        Modeling Low Reynolds Number Incompressible Flows Using SPH

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          von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms

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            Author and article information

            Journal
            2017-04-13
            1704.04260

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            27 pages, 34 figures
            physics.flu-dyn

            Thermal physics & Statistical mechanics

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