The Effect of Initial Particles Distribution by in Smoothed Particle Hydrodynamic Method in Wave Generation Modeling Based on Laboratory Model

Abstract

The Smoothed Particle Hydrodynamics (SPH) method is among the numerical methods that have attracted the attention of many researchers in recent years. This method as a Lagrangian method based on the movement of particles is also one of the meshless methods. In this method, the initial location or distribution of particles can play an important role in reducing numerical errors and its computational efficiency. In this research, based on wave modeling, which is one of the most conventional hydraulic phenomena, and using previous modeling experiences, six optimal and common distributions of particles including square distribution (SC), Triangular distribution, distribution based on WVT algorithm, distribution based on Greedy algorithm, Hexagonal distribution and Fibonacci distribution based on Fibonacci al-gorithm have been investigated. Based on the results of the pressure, velocity and the free surface level of the fluid in the location of the reference gauges of the laboratory model, it was determined that the square, triangular, WVT, Greedy, Hexagonal and Fibonacci distributions have a modeling error equal to 13.85%, 13.75%, 12.63%, 13.24%, 9.07% and 9.37%, respectively, and the two primary hexagonal and Fibonacci distributions have a modeling error of less than 10%, and in other words, it has the best performance in using the SPH method in order to improve the efficiency of the computational model.

Keywords

• meshless methods
• smoothed particle hydrodynamics
• initial particles distribution
• wave modelling
• initial conditions