Abstract
The Incompressible Smoothed Particle Hydrodynamic (ISPH) is one of the particle methods and commonly used to solve some complicated physical problems including free surface flow problems. The study regarding the boundary treatment has become an active research area in the mesh-free or particle method recently for measuring the accurate and robust pressure near the boundary. The penetrations of fluid particles may be happened if the adequate pressure boundary condition on the solid boundary cannot be satisfied. In this paper, a simple boundary treatment, which can be satisfied the non-homogenous Neumann boundary condition on the solid boundary and Dirichlet condition on the water surface, is proposed. The key point of our proposed treatment is that these boundary conditions are automatically satisfied by solving a modified pressure Poisson equation. Lastly, the effectiveness and accuracy of boundary treatment proposed are then authenticated with couples of numerical analysis and compared with the experimental tests.
Highlights
IntroductionSmoothed particle hydrodynamics (SPH) is a Lagrangian meshless particle method that has been popular and actively used by researchers especially in computational fluid dynamics nowadays
Smoothed particle hydrodynamics (SPH) is a Lagrangian meshless particle method that has been popular and actively used by researchers especially in computational fluid dynamics nowadays. This SPH method was first developed by Lucy [1] and Gingold [2] which originated from simulation of the astrophysical problems about three decades ago
Many researchers tried to improving the boundary treatment from the ghost particle fixed ghost particle by Marrone [4], and virtual marker by Asai [5] and until know this research topic still become a vigorous research area
Summary
Smoothed particle hydrodynamics (SPH) is a Lagrangian meshless particle method that has been popular and actively used by researchers especially in computational fluid dynamics nowadays. This SPH method was first developed by Lucy [1] and Gingold [2] which originated from simulation of the astrophysical problems about three decades ago. A stabilized Incompressible Smoothed Particle Hydrodynamic (ISPH) approach is one of the particle methods and commonly used to solve some of complicated physical problems including free surface flow problems [3]. The following sections will be described the governing equations used and the concept of Smoothed Particle Hydrodynamics (SPH) with the modification for incompressible flow
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
