Environmental Engineering Reference
In-Depth Information
Smoothed Particle Hydrodynamics
for Free-Surface Flows
A. Barreiro, J.M. Domínguez, A.J.C. Crespo, O. García-Feal
and M. Gómez Gesteira
Abstract A solver for free-surface flows (DualSPHysics) based on the Smoothed
Particle Hydrodynamics (SPH) model is presented. The classical SPH formulation
is described along with the governing equations, filters and corrections, boundary
conditions and time stepping schemes. The reliability of the DualSPHysics model
is discussed by comparing the numerical results with the experimental data for a
benchmark test case. The applicability of the code is shown with some examples
where wave propagation and wave-structure interaction are simulated.
1 Introduction
Smoothed Particle Hydrodynamics (SPH) is a mesh-free Lagrangian numerical
method developed in the 1970s to solve astrophysical problems (Gingold and
Monaghan 1977 ). Lately this method started to be widely applied in the field of
fluid mechanics (Monaghan and Kos 1999 ; Monaghan et al. 1999 ) due to the sim-
plicity of the Lagrangian numerical models to describe the fluid as a set of points (or
particles) that interact with each other according to the conservation laws (Gómez-
Gesteira et al. 2010 ).
SPHysics is a project that sums the effort of researchers at different universities,
i.e., the University of Vigo (Spain), the University of Manchester (U.K.), and the
 
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