SPH method

Abstract

The SPH (Smoothed Particle Hydrodynamics) method for solving fluid dynamics equations is presented in this paper. The main aim of this paper is to present theoretical aspects of the method which is used in numerical modelling of rapidly varying free-surface flows. This paper also deals with application of The SPH (Smoothed Particle Hydrodynamics) method in numerical modelling of impact flow on a vertical wall which is generated by the break of a dam. Numerical results show good agreement with experiments before water impact on the wall and unsatisfactory agreement after the impact. Further study is needed to improve accuracy of the method.

U ovom radu se opisuje numerička metoda za rešavanje jednačina kretanja fluida zasnovana na praćenju fluidnih delića, koja se na engleskom jeziku naziva Smoothed Particle Hydrodynamics (skraćeno SPH). Predstavljene su teorijske osnove SPH metode kao i rezultati primene ove numeričke metode u numeričkom modeliranju problema tečenja vode usled rušenja brane i odbijanja talasa od nepokretne granice. Rezultati dobijeni korišćenjem standardnog oblika SPH metode po kojem se voda tretira kao blago stišljiv fluid (WCSPH) su upoređeni sa rezultatima eksperimenta na fizičkom modelu, kako bi se dala ocena tačnosti SPH metode u predviđanju izrazito neustaljenog strujanja sa slobodnom površinom.