Abstract: Kernel functions approximate physical quantities in smoothed particle hydrodynamics (SPH) method.However,approximation accuracy decreases near boundaries.By reconstruction of a kernel with correcting function,reproducing kernel particle method (RKPM) improves approximation accuracy and computational stability at internal or boundary points.Though correction is proposed to approximate functions accurately,it also benefits in approximation of derivatives.

Key words: reproducing kernel particle method, smoothed particle hydrodynamics, meshless method, high-velocity impact