%0 Journal Article %T Simulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm %J International Journal of Engineering %I Materials and Energy Research Center %Z 1025-2495 %A Mahnama, S.M. %A Neshaei, S.A.L. %A Mehrdad, M.A. %A H. Farahani, Mehrdad %A Amanifard, Nima %D 2012 %\ 07/01/2012 %V 25 %N 3 %P 239-248 %! Simulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm %K Smoothed Particle Hydrodynamics (SPH) %K Lagrangian Method %K Wave propagation %K Free surface %R %X This paper presents an incompressible smoothed particle hydrodynamics (SPH) model to simulate wave propagation in a free surface flow. The Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method. In the first step, a temporary velocity field is provided according to the relevant body forces. This velocity field is renewed in the second step to include the viscosity effects. A  Poisson equation is employed in the third step as an alternative for the equation of state in order to evaluate pressure. This Poisson equation considers a trade-off between density and pressure which is utilized in the third step to impose the incompressibility effect. The computations are compared with the experimental as well as numerical data and a good agreement is observed. In order to validate proposed algorithm, a dam-break problem is solved as a benchmark solution and the computational results are compared with the previous numerical ones. %U https://www.ije.ir/article_72023_9ea5ee5b5060c78e07ee1d9b770811ae.pdf