An arbitrarily Lagrangian–Eulerian SPH scheme with implicit iterative particle shifting procedure
P. Rastelli, Renato Vacondio, Jean‐Christophe Marongiu
Abstract
This work presents an Arbitrarily Lagrangian–Eulerian Smoothed Particle Hydrodynamics (ALE-SPH) scheme for Navier–Stokes equations where the particle distribution is optimized by an Implicit Iterative Particle Shifting (IIPS) correction capable of improving the accuracy of the SPH spatial operators. Here two different possible approaches, based respectively on Moving Least Square (MLS) and on convective fluxes have been adopted to embed the IIPS formulation in an ALE-SPH scheme. The theoretical second-order convergence rate has been achieved for the Taylor–Green flow at Reynolds number Re=100. Results obtained with the proposed numerical scheme for the Moving box and the Impinging jet test cases confirm that the accuracy is significantly improved, with respect to existing quasi-Lagrangian ALE-SPH schemes.