The study is concerned about an application of the smoothed particle hydrodynamics (SPH) method in elastodynamics. A brief description of the SPH model for elastic materials and related stabilising terms are presented. The performance of the implemented SPH code is tested for elementary problems of linear elasticity as well as for a complex problem involving large deformations.
The paper gives a brief overview of the theory of the smoothed particle hydrodynamics (SPH). The SPH governing equations for incompressible flow of viscous fluid are derived. The presented SPH model is capable of simulating free surface flows involving fluid to fluid and fluid to rigid wall interactions. The results of performed numerical simulations are presented.
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Im Beitrag ist kurzes Resümee der „Smoothed Particle Hydrodynamics" (SPH) Methode eingeführt. Hier sind die SPH Bewegungsgleichungen für inkompressible reibungsbehaftete Flüssigkeitsströmung ableitet. Dargestelltes SPH Modell ist für Simulierung der Strömung mit freier Oberfläche und für Flüssigkeitsinteraction und Interaction zwischen Flüssigkeit und feste Wand geeignet. SPH Ergebnisses der numerischen Simulierung sind dargestellt.
The paper deals with an introduction to the modelling of fluid flow by means of the smoothed particie hydrodynamics (SPH). This numerical approach is meshless and the computational grid is replaced by a finite set of interpolating points. The fluid flow is described by Euler equations using the Lagrangian description of continuum and dissipative effects are treated by artificial viscosity terms. Implemented SPH method is tested on a two-dimensional flow of Newtonian fluid.
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