SPH approaches for free surface flow for engineering applications

Abstract

[Abstract] In this paper, we study different SPH formulations proposed to solve free surface problems. We center our attention in the corrections added to the SPH method in order to increase its accuracy and to improve its numerical behaviour. For this reason, we present three approaches called standard SPH, corrected SPH and standard-corrected SPH. We compare them using a simple test where we study the evolution of an elliptical water bubble. Furthermore, we also analyze the results obtained in more complex situations related with “breaking dam” problems. This kind of examples allows to check the good behaviour of these techniques.