4.7 Article

A coupled NMM-SPH method for fluid-structure interaction problems

Journal

APPLIED MATHEMATICAL MODELLING
Volume 76, Issue -, Pages 466-478

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.06.020

Keywords

Fluid-structure interaction; Numerical Manifold Method; Smoothed Particle Hydrodynamics; Coupled NMM-SPH method; Contact algorithm

Funding

  1. National Key R&D Program of China [2018YFC0406800]
  2. Natural Science Foundation of China [11602165, 51704211]
  3. Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences [2015010]

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The main challenges in the numerical simulation of fluid-structure interaction (FSI) problems include the solid fracture, the free surface fluid flow, and the interactions between the solid and the fluid. Aiming to improve the treatment of these issues, a new coupled scheme is developed in this paper. For the solid structure, the Numerical Manifold Method (NMM) is adopted, in which the solid is allowed to change from continuum to discontinuum. The Smoothed Particle Hydrodynamics (SPH) method, which is suitable for free interface flow problem, is used to model the motion of fluids. A contact algorithm is then developed to handle the interaction between NMM elements and SPH particles. Three numerical examples are tested to validate the coupled NMM-SPH method, including the hydrostatic pressure test, dam-break simulation and crack propagation of a gravity dam under hydraulic pressure. Numerical modeling results indicate that the coupled NMM-SPH method can not only simulate the interaction of the solid structure and the fluid as in conventional methods, but also can predict the failure of the solid structure. (C) 2019 Elsevier Inc. All rights reserved.

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