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›› 2017, Vol. 34 ›› Issue (5): 625-632.DOI: 10.7523/j.issn.2095-6134.2017.05.013

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Application of two-phase smoothed particle hydrodynamics method to dam break over movable bed

QIAO Cheng1,2,3, PAN Huali1, OU Guoqiang1   

  1. 1 Key Laboratory of Mountain Surface Process and Hazards, Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China;
    2 University of Chinese Academy of Sciences, Beijing 100049, China;
    3 School of Civil Engineering and Architecture, Anhui University of Science & Technology, Huainan 232001, Anhui China
  • Received:2016-06-27 Revised:2016-10-17 Online:2017-09-15

Abstract: Smoothed particle hydrodynamics (SPH) method adopts discrete particles for discretion of computational domain,and field variables and their spatial derivatives are evaluated by summation interpolation based on particle and kernel functions,which makes this method more suitable for processing the large displacement,movable boundary,and free surface problems.In order to analyze the dam break problem over movable bed,an erosion condition based on Drunker-Prager is used.The particles satisfying this condition will move with the non-Newtonian characteristic,i.e.,Herschel-Bulkley-Papanastasiou rheology,while the particles which do not satisfy the condition will remain still.In order to improve the results of numerical modelling further,a two-phase SPH method which is based on the ratio of volume is applied when modelling the dynamics of mixture,and the calculation of viscosity of mixture is improved based on the dynamic characters of solid-fluid mixture.A dam-break problem over movable bed is analyzed based on the model mentioned above.Numerical results are compared with the experimental data,and the comparison verifies that the proposed formula improves the results of numerical modelling.

Key words: smoothed particle hydrodynamics, movable bed, dam break, two-phase, non-Newtonian fluid

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