| Popis: |
In this article, we present numerical solutions of flow over an airfoil and square obstacle using Incompressible Smoothed Particle Hydrodynamics (ISPH) method with an improved solid boundary treatment, referred to as Multiple Boundary Tangents (MBT) method. It was shown that MBT boundary treatment technique can be used effectively for tackling boundaries of complex shapes. Also, we have proposed the usage the repulsive component of the Leonard Jones Potential (LJP) in the advection equation to repair the fracture occurring in SPH method due to the tendency of SPH particles to follow the stream line trajectory. Additionally, for the solution of these two benchmark problems, we have derived a correction term in SPH discretization. Numerical results suggest that the utility of MBT method, fracture repair algorithm and corrected ISPH discretization scheme together enables one to obtain very stable and robust SPH simulations. The square obstacle, and NACA airfoil geometry with the angle of attacks between 0-15 were simulated in a flow field with Reynolds numbers as high as 1600. The SPH results are validated with a mesh-dependent Finite Element Method (FEM) solver, and excellent agreements among the results were observed. |
