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EN
Smoothed Particle Hydrodynamics (SPH) is a fully Lagrangian, particle-based technique for fluid-flow modeling. As a gridless method, it appears to be a natural approach to simulate multi-phase flow with complex geometries. Since SPH involves a large set of short-range particle-particle interactions, numerical implementations present a high degree of spatial data locality and a significant number of independent computations. Therefore, the numerical code can be easily written in a massively parallel manner. The main purpose of this study is to discuss the issues related to the implementation of the SPH method for computation using Graphics Processing Units (GPU). The study is supported by two-dimensional validation cases: the lid-driven cavity and oscillation of a droplet. The obtained results show a good accuracy of the method, as well as, high numerical efficiency of its GPU implementation.
PL
W artykule przedstawione zostały podstawy teoretyczne modelu SPH stosowanego do symulacji płynów z wykorzystaniem metody cząstek. Zaprezentowanych zostało kilka wariantów metody przeznaczonych do różnych jej zastosowań. Zaproponowano również modyfikację metody umożliwiającą symulację zjawiska napięcia powierzchniowego. Przedstawiony został sposób jej implementacji. Zaprezentowano również wyniki zastosowania metody do modelowania kilku zjawisk: wypływu cieczy z naczynia, przepływu płynu w naczyniu cylindrycznym, powstawania menisków w kapilarze oraz oscylacji kropli cieczy w próżni. Otrzymane wyniki pokazują, że metoda ta może być z powodzeniem stosowana do modelowania wielu zjawisk ze świata rzeczywistego i stanowi szeroką dziedzinę do dalszych badań dla jej rozwijania i udoskonalania.
EN
The SPH method for simulating incompressible fluids is presented in the article. The background and principles of the SPH method are explained and its application to incompressible fluids simulations is discussed. Next, two methods of neighbor search for the SPH algorithm based on a constant number of neighbors and a constant cut-off radius are presented. Firts, feasible methods of comparison are analyzed. Then the methods are compared visually and computationally. The obtained results suggest that the method with a constant cut-off radius is better than that with a constant number of neighbors. Subsequently, adaptations of the SPH method for simulating mcompressible fluids which focus on surface tension are presented. The modification for surface tension simulation, which relies on incorporating additional forces into the model, as well as the methodology are suggested. The results obtained with the method are presented and discussed. Finally, the parallel implementation of the SPH simulation with OpenMP environment is demonstrated and analyzed.
3
Content available Simulation of fluid flow with interacting particles
EN
In the paper a method for modeling flows in the presence of interacting particles is briefly presented. The method is based on merging classical, continuous approach of numerical solution of Navier-Stokes equations on the 2D mesh with discrete particles interacting with the fluid and among themselves by means of central and friction forces. Several sample simulations have been described presenting the flow through porous medium and convection flow driven by sedimentation.
EN
In the paper we make a short overview of computer models based on particle approach, which can be suitable for the simulation of fluid flow through porous media. We concentrate on Molecular Dynamics (MD) and Dissipative Particle Dynamics (DPD) methods. We describe main features of our simulation programs, and present and discuss preliminary results of MD and DPD simulations of 2D fluid flow through a simple model rigid porous media. The paper aims at the evaluation of the applicability of MD and DPD methods for simulations of liquid flows in media of complicated geometry.
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