A Consistent Spatially Adaptive Smoothed Particle Hydrodynamics Method for Fluid-Structure Interactions

Abstract

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods. Specifically, it is second-order convergent; it allows for resolutions spatially adapted with moving (translating and rotating) boundaries of arbitrary geometries; and, it accelerates the FSI solution as the adaptive approach leads to fewer degrees of freedom without sacrificing accuracy. The key ingredients in the method are a consistent discretization of differential operators, a \textit{posteriori} error estimator/distance-based criterion of adaptivity, and a particle-shifting technique. The method is applied in simulating six different flows or FSI problems. The new method's convergence, accuracy, and efficiency attributes are assessed by comparing the results it produces with analytical, finite element, and consistent SPH uniform high-resolution solutions as well as experimental data.

arXiv comment27 pages, 17figures

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Cited by in corpus (5)

• Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement
• A spatially adaptive high-order meshless method for fluid-structure interactions
• Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH
• Numerical Integration of Navier-Stokes Equations by Time Series Expansion and Stabilized FEM
• A multi-resolution SPH method for fluid-structure interactions