A simplified approach to enhance the performance of smooth particle hydrodynamics methods

摘要

This paper presents an approach to improve the accuracy and stability of smooth particle hydrodynamics (SPH) techniques and describes how this correction procedure can be combined with kernel correction to formulate a complete form of the corrected smooth particle hydrodynamics (CSPH) method. The development and theory of this new approach is presented in the context of the solution of Poisson equations. Successful implementation of the theory is verified via various numerical examples.