Development of Polygon Wall Boundary Model Considering Corners of Wall Domain and Application to ISPH Method

Abstract

In this paper, we develop a polygon wall boundary model with consideration of corners of wall domain that is suitable for semi-implicit particle method, such as Incompressible Smoothed Particle Hydrodynamics (ISPH) method. The polygon model is based on Explicitly Represented Polygon (ERP) model, and definition of reflecting operation for surface polygon is extended in order to eliminate error occurred near corners in the original ERP model. Besides, volume of wall domain expressed near corners are modified using an approximate formula based on planer angle and solid angle of corners to improve accuracy of the calculation. We introduce the improved ERP model to ISPH method, and solve three-dimensional hydrostatic and dam break problems as numerical examples. According to the results, it is confirmed that the improved ERP model can obtain more accurate and smoothed distributions of pressure than the previous ERP model.