A high-efficiency smoothed particle hydrodynamics model with multi-cell linked list and adaptive particle refinement for two-phase flows

Abstract

The smoothed particle hydrodynamics method has been applied in modeling violent flows with the free surface. Much effort has been made in reducing the computational costs in simulating the three-dimensional two-phase flows with the violently deformed free surface and breaking waves. Although the adaptive particle refinement approach has been developed to concentrate fine resolution only in the region of interest, its efficiency still hardly meets the demand of large-scale numerical simulation. In order to improve its efficiency further, a multi-cell linked list algorithm coupling with the adaptive particle refinement for the smoothed particle hydrodynamics model is implemented in the graphic processing unit-based code. Particles are identified not only by its position but also by its resolution and trait. The accuracy of the numerical model for solving two-phase flows with the free surface is validated through computing a two-dimensional dam-break flow and the hydrodynamic flows of spheres vertically entering the water from the air. The numerical results agree well with the experimental data available. For the cases of water entry of a sphere of different densities, the development of open cavity and cavity sealing is discussed in terms of the pinch-off depth and the corresponding sphere depth. Simulations show that the smoothed particle hydrodynamics method with the adaptive particle refinement possesses the characteristics of good accuracy, time-saving, and high efficiency in simulating three-dimensional two-phase flows.

Smoothed particle hydrodynamics: Methodology development and recent achievement

“…Notwithstanding the wide implementation of the CLL and VL approaches in the particle-based methods, they may become not sufficiently efficient when adaptive particle resolution with variable smoothing lengths is applied [123][124] , where tree-based neighboring search technique can be applied to address this issue [125][126][127] . With the CLL and VL approaches in hand, several schemes, data sorting with space filling curve [120,[128][129][130] , dual-criteria time stepping [54] and multi-cell linked lists [131] , are developed for the further improvement of computational efficiency.…”

Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement

“…Notwithstanding the wide implementation of the CLL and VL approach in the particle-based methods, they may become not sufficiently efficient when adaptive particle resolution with variable smoothing lengths is applied [117,118], where tree-based neighboring search technique can be applied for address this issue [119,120,121]. With the CLL and VL approaches in hand, several schemes, data sorting with space filling curve [114,122,123,124], dual-criteria time stepping [49] and multi-cell linked lists [125], are developed for further improvement of the computational efficiency.…”

Sediment wear of turbine guide vane before and after tungsten carbide treatment

“…Wear of the turbine guide vanes for power stations in sediment-laden rivers is a serious problem and has been the subject of considerable research. Kang et al, 1 Thapa et al 2 and Zhao et al 3 analyzed the internal flow characteristics, the particle trajectories and the wall impact characteristics of Francis turbines using numerical simulations and also discussed the causes of the internal wear patterns in the turbines. Comparison of the calculation results with the actual wear situation allowed the factors that influence the wear of the water turbine guide vanes to be identified and an improved design method to reduce the wear was proposed.…”