Study on the vidcous flow around foils with a multi-resolution smooth particle hydrodynamics method

Abstract

Considering the real viscosity of the fluid, the multi-resolution smooth particle hydrodynamics method is applied to numerically simulate and verify the flow around the foils at different Reynold numbers. In the framework of SPH, the Lagrangian coherent structure can be easily visualized, thus the details of the vortex can be reproduced. In order to overcome the SPH numerical instability when simulating the flow around airfoil at high Reynolds number, the tension instability control and the particle shifting techniques are adopted, thus the numerical accuracy of the pressure and velocity fields are much improved. The analysis of the flow around the foil shows that the SPH method can accurately calculate the velocity and pressure fields, and perform good force monitoring and prediction. In addition, compared to the traditional vortex capturing method based on Euler velocity field, the Lagrangian coherent structure can also effectively reveal the characteristics and the evolution of vortex. The study indicates that the SPH method owns distinguished advantages in the simulation of fluid dynamics problems considering the real viscous boundary layer and vortex motion. In addition, the investigation of the flow around flapping foil demonstrates the capability of the SPH method for simulation with moving boundaries.

Keywords

• δ+-sph
• 多级粒子分辨率技术
• 拉格朗日拟序结构
• 翼型绕流