On the calculation of border and contact nodes by grid-characteristic method on non-periodic tetrahedral grids

Grid-characteristic method for the numerical simulation of wave processes in continuum mechanics was initially proposed and successfully applied to periodic hexagonal computational grids. Later, it was proposed to adapt this method to non-periodic triangle and tetrahedral grids, and a broad computational experience has been gained by now. However, this approach encounters some challenges with the calculation of border and contact points when applied to various grid configurations in the areas with complex geometries. In this paper, the method limitations, which cause the problems is considered, and some improvements to overcome them are proposed.